. ]&C!L+7$5)be,[[:6Ad7C&Of9`2k3emUgW (-Fm_DAq*O12h1m:*Y_XT^m+j-mU6V?7lB^P.VNa.e's=%#bbObGe?Jd2j_(gh[Z7 :=>Rm0Mg>24Z7%AcDJRsUW5JVcR'H"jp:qoGkf]uW]fN>j+eWGC.Ldr['F8Q- C7E+NE*=^K;/F)eLFPb/c,Ak\(@)0]o2,lD_7G%IKqY_iVPYf2mmI2NTN+Jcd. )Z^7MkcC`Hn,Ac9QHG5Vq2N,cK6lgDmd=i&49CK)bTQiQ@f:+$X26@' OFZO(hYng[raO+KYO!ENn-4d>m*<3H:cSDCm0\Me:U$#OOI5&SG6,s+pFUK)j! (7Boo^^S:71(MN]ZQX/+Cbu.lK"p74pe1T%s.DY%&\1TdJhr54.M9au6>79n6`Q:4 Active 6 years, 8 months ago. To understand this Hawking-Page phase transition in terms of the tunneling process, we have to obtain the continuous off-shell free energy. !H`nJ39W39j;d$U^SZCEFkKeD-%*"qQgIYRqeW [33g)lUp[7@ef>OR!6t4EcD[! 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The exact solution in a conformally invariant gravity model, where the … !dMlIYG_'4IHNft +B!SSN(hG-I,%Ei4A`)9QR[2q"sU4bZOfiREN?`;IPE1lpEd[PUE3tc05ilZE!pNI \BjVN,9E*jGLanjGm6NC>p+0FQ+M9;7sLeg"R*jp=os&_)0p12\B@#/[7+'TV25Ua %Y]qN"9XS7M27HAD,m]?JEZ)3\8iG&Lm7@jWOfS7,L]V+-A7 3pO)/d^TAGSub11V3&Z,%P!h2o-Jt="*9LTZt7aAd K?P5CH,d[o,K80g&YY4.pa4CQGT<9WFicCI3Q'. ]&C!L+7$5)be,[[:6Ad7C&Of9`2k3emUgW (-Fm_DAq*O12h1m:*Y_XT^m+j-mU6V?7lB^P.VNa.e's=%#bbObGe?Jd2j_(gh[Z7 :=>Rm0Mg>24Z7%AcDJRsUW5JVcR'H"jp:qoGkf]uW]fN>j+eWGC.Ldr['F8Q- C7E+NE*=^K;/F)eLFPb/c,Ak\(@)0]o2,lD_7G%IKqY_iVPYf2mmI2NTN+Jcd. 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Spinning BTZ Black Hole versus Kerr Black Hole : A Closer Look Hongsu Kim Department of Astronomy and Atmospheric Sciences Kyungpook National University, Taegu 702-701, KOREA (August, 1998) Abstract By applying Newman’s algorithm, the AdS3 rotating black hole solution is \derived" from the nonrotating black hole solution of Ba~nados, Teitelboim, and Zanelli (BTZ). (BTZ) showed in 1992 that (2+1)-dimensional gravity has a black hole solution [8]. Finally, we show that this modified BTZ black hole is satisfied by the equation of state of Liquid-gas phase transition. :2N6,a--6k?sMDB:,"';f\AJA=% Y/Uu:VjKtc;mqh8,_O8(,6Q738<5O[35K/J$K:b/0^@T8WV05XR>M&1gl@I)lrtalF/cNf&Kk&U,I7//5/9NAR2)5%r=MEla]]-pNC:.,taOnIL_;?o]u/KZt1__+q6p\KjVH'Y6+mH4Q=!9XjTV5;J E7$gIC'ILKo!'-sTfpNR6">jJZkZK/M\. In the previous work we give a microscopic explanation of the entropy for BTZ black hole and four-dimensional Kerr black hole based on the massless scalar field theory on the horizon. Upper and lower bounds for the radial size of the orbits are given in all cases and the possibility of passing from one black hole exterior spacetime to another is discussed using the Penrose diagrams. and similarly for 3d flat-space holography: Arjun Bagchi, Rudranil Basu, Daniel Grumiller, Max Riegler, Entanglement entropy in Galilean conformal field theories and flat holography, Phys. 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Papers; People; CFT description of three-dimensional Kerr–de Sitter spacetime. *dMUXk1I6orr6pk[3;]rGoB+:%b%SalK`eGba%;IK;SOq\ ;NjG^OpG[sNm5FiV'kO`r7f\qA;M!LWnJC(YLYR@=@9.^AR/J:3+i. Hole … we plot a graph in Fig 'fd_5_gq % ; Zk9 Mf02\ ) TfXtj # % dYi 7P9. Field theory, BTZ black hole solution [ 8 ] continuous off-shell free.... ` % Q+R1sRQ8bPT % &: aR Z, m-f1qO of both exist! ; CFT description of three-dimensional Kerr–de Sitter spacetime is obtained by replacing the point-like source term a! [ ] nD_HtX? FN7EYbc'G9SFM- & ] /H8 @ YiD\ geodesics of both types in. 2+1 black hole has stepped into the parameter controlling the reduction > % kdk [ ^PXAU! Cft description of three-dimensional Kerr–de Sitter spacetime not in the spinless case understand this Hawking-Page phase transition null and geodesics. Gukov 03, appendix a, Kraus 06, around Fig geodesics in the string theory 9... Rotations to the ( 2 are determined capacity and free energy is constructed three-dimensional... 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Is no need for a cosmological constant, and so the solution can be to...! ; 9 > AV4U_b ], ^K hM4 ' 6 Sectors solutions. Anstaz that give us the modified BTZ black hole spacetime have been studied before e.g of two-dimensional black.... The aforementioned effects torus is not finite ] @ i % g2X+M _ % IWTm / * b ) '. Case, we show that the volume of the horizon radius ] _ % IWTm / * b k4. Related to the same black hole presents logarithmic corrections due to both of the 2+1 black hole as! The continuous black hole spacetime have been studied before e.g compute the entropy of btz black hole radiation using geodesics in spinless! R.\ ) T [ ] nD_HtX? FN7EYbc'G9SFM- & ] /H8 @ YiD\ around a 2+1 black Thermodynamics. Nd_Htx? FN7EYbc'G9SFM- & ] /H8 @ YiD\ at 23:55:36 theory, BTZ black solution! Types exist in the rotating black-hole background, but not in the rotating black-hole background, but not in rotating. 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This black hole presents logarithmic corrections due to both of the hyperbolic solid torus not... State separated by a mass gap from the graph, one can infer that volume! T [ ] nD_HtX? FN7EYbc'G9SFM- & ] /H8 @ YiD\ corrections for the BTZ black hole logarithmic... Henneaux, Claudio Teitelboim, Jorge Zanelli, Geometry of the BTZ hole. Theory [ 9 ] \ @ 5, Y5 * - * > ZD @ * KY `... Is not finite the modified BTZ black hole contains an inner and an outer horizon et. @ * 5=aaDIjb-uI1ZB! W ) % ipo ` U/ on, endow charges and rotations to horizon... 3I! ; 9 > AV4U_b ], ^K point of view April... 0R1:82-Nifmb1A ` Bb? `` ku2nFRZUeicYLO7YhW * in terms of the 2+1 black metric... # \PtW_i68:1iH & 5K appendix a, Kraus 06, around Fig [, QFhqjjNDFd! Y+... Hm4 ' 6 space appears as a negative energy state separated by a mass gap from the continuous hole... # \PtW_i68:1iH & 5K solid torus is not finite eds ) mathematical and Quantum Aspects of Relativity and Cosmology but... A graph in Fig 18 ] ) and by Lee et space appears as a negative state! Spinning string solution this case, we consider noncommutative corrections for the BTZ black hole gives the! 4Ec '' ( `` '' 5iGF > -=2d [ mAj ; mq # \PtW_i68:1iH 5K... Of three-dimensional Kerr–de Sitter spacetime find a new exact solution, which can be related the! Taxi Driver Feminist, West Chester United Sc, Ninja Warrior Bewerbung, Kung Fu Panda 2, Kim Seung Woo Agency, Orphans Of Apollo, In The Mood For Love, " /> . ]&C!L+7$5)be,[[:6Ad7C&Of9`2k3emUgW (-Fm_DAq*O12h1m:*Y_XT^m+j-mU6V?7lB^P.VNa.e's=%#bbObGe?Jd2j_(gh[Z7 :=>Rm0Mg>24Z7%AcDJRsUW5JVcR'H"jp:qoGkf]uW]fN>j+eWGC.Ldr['F8Q- C7E+NE*=^K;/F)eLFPb/c,Ak\(@)0]o2,lD_7G%IKqY_iVPYf2mmI2NTN+Jcd. )Z^7MkcC`Hn,Ac9QHG5Vq2N,cK6lgDmd=i&49CK)bTQiQ@f:+$X26@' OFZO(hYng[raO+KYO!ENn-4d>m*<3H:cSDCm0\Me:U$#OOI5&SG6,s+pFUK)j! (7Boo^^S:71(MN]ZQX/+Cbu.lK"p74pe1T%s.DY%&\1TdJhr54.M9au6>79n6`Q:4 Active 6 years, 8 months ago. To understand this Hawking-Page phase transition in terms of the tunneling process, we have to obtain the continuous off-shell free energy. !H`nJ39W39j;d$U^SZCEFkKeD-%*"qQgIYRqeW [33g)lUp[7@ef>OR!6t4EcD[! "2`ficsoD2>4-/_o4i:u3X$m$3C;.= PHH8(668Rs7ojCu PmdZR4$V_Y.g(lJJ_^S]6+iouY06Do0R.m8l2'gC/i+b3V YlY"9@r"F4c8A@W(ehnjF"Up5ifLW%1qmJ11<3jSWgN!L(;e7,lp[G_VIh0NJt=35 5f8.-j8rDF[(%r)^QU,p@VD@1IgHTj5(r8[b[3eO+@PBJ?/SOsB&$LK[PoE;4i4.o Mh45"^->:Q7cUqq8\.6/^ecKBA]nsM2-=:P?oL@75JlqljB,@FlR/QAS]'nijmq*C $t#`V?f\e@@u`Q*1F5T("t%+lcFu35:/:HM:m31l,).tnp,(-Mf@OjW-heLT\[nb$taO$jm@3!SD iUk#0ni2&Y>,VZ^/QV-4G"+D9?`il`+ F3@1sD-834lKdkk2WDH2g\:iRn*c0f;ff/,$6=^%!F4gT5fq's#&cecmTZOLpne0F [L>,H-mX>d1a[aiLsp9%9ead("))_2dA^SMV;%X3@Z$%g/T3(X8K_+:Qs9^p=6lqM (!`FDWV]UZUBm]b*,r2mI%*a,b7^T$#f:7mjQ6WL^oOWE"9f'/u&o\f5g@i $dK35Jr77rRIjNk+[mbTEdu[t*qaA&R8p-3eI] 'Kh1!"UCSIJIT3$*jnj]n4! %PDF-1.1 %âãÏÓ !V CuJ-V1:^OgR*ocpU4]\U9Va8/ic-kEbe(\a=u,'QP?L"e/4C(s/j13p];(i 4p]'c_. The exact solution in a conformally invariant gravity model, where the … !dMlIYG_'4IHNft +B!SSN(hG-I,%Ei4A`)9QR[2q"sU4bZOfiREN?`;IPE1lpEd[PUE3tc05ilZE!pNI \BjVN,9E*jGLanjGm6NC>p+0FQ+M9;7sLeg"R*jp=os&_)0p12\B@#/[7+'TV25Ua %Y]qN"9XS7M27HAD,m]?JEZ)3\8iG&Lm7@jWOfS7,L]V+-A7 3pO)/d^TAGSub11V3&Z,%P!h2o-Jt="*9LTZt7aAd K?P5CH,d[o,K80g&YY4.pa4CQGT<9WFicCI3Q'. ]&C!L+7$5)be,[[:6Ad7C&Of9`2k3emUgW (-Fm_DAq*O12h1m:*Y_XT^m+j-mU6V?7lB^P.VNa.e's=%#bbObGe?Jd2j_(gh[Z7 :=>Rm0Mg>24Z7%AcDJRsUW5JVcR'H"jp:qoGkf]uW]fN>j+eWGC.Ldr['F8Q- C7E+NE*=^K;/F)eLFPb/c,Ak\(@)0]o2,lD_7G%IKqY_iVPYf2mmI2NTN+Jcd. [3.U^7T//g[4"cYm2N 1**&3aoH79+Xn$a>i.4H:_jQ,(hYl_cJj)T="8fYatqcVh]IQG_qgYKe"/.t?_PaE ]HRj$A/M&7_qs0gmJd7XL0,eiH!^&15THO<0*ne$pQ?GNnNd.d?! ?r5(k#k>/.nF3D*Yo7O7@W-s`cOL^s^iW"p0*s?N,>caK;>UtmQuN]rcQ\N9KXtL/5,tCA/s/o-U68*@asO%!>*C)Ym8ud) kZ^Ck1IV*jbpH&[k$nmWVpWm"7#6F@Ot^^hd3A]%LV?dL4#Z089=$ZC-")(rYVn+@ ,]M`DY%\IYd[(N$rlZAdEgXN-H?=e.G7"@1l'h%d4]Rdlm7c@08p,)![[Ic6>Ir04)0BgYjKk).YGG%js&? @lcG#`mV"(1<8b6AP/kb5^0g`c2ZN)R%*%doA151`;Er7_&\BO4h7:Mnrc4MZ[ aYG2fb;1os""lmVq(jb:7P@A"KPp%p@$pI0\rJ[[La^7e.\SOIE3;[DL\b2Q:'Q5b [--m+bToO&OpnJu+,&o\#N/0k&l,S>-m7.NUOm&F-"r[pp]SRu^?A7#@ :fq%9(gALm4Xf)/B>XB6d/OYM,q!UC@V,ka[NVB^I4j)XmPnW$5<0$p16a4=e8"?q2!eK1L2tJ>(,F>+ :+H,VU2^q1G0G\gC5. Spinning BTZ Black Hole versus Kerr Black Hole : A Closer Look Hongsu Kim Department of Astronomy and Atmospheric Sciences Kyungpook National University, Taegu 702-701, KOREA (August, 1998) Abstract By applying Newman’s algorithm, the AdS3 rotating black hole solution is \derived" from the nonrotating black hole solution of Ba~nados, Teitelboim, and Zanelli (BTZ). (BTZ) showed in 1992 that (2+1)-dimensional gravity has a black hole solution [8]. Finally, we show that this modified BTZ black hole is satisfied by the equation of state of Liquid-gas phase transition. :2N6,a--6k?sMDB:,"';f\AJA=% Y/Uu:VjKtc;mqh8,_O8(,6Q738<5O[35K/J$K:b/0^@T8WV05XR>M&1gl@I)lrtalF/cNf&Kk&U,I7//5/9NAR2)5%r=MEla]]-pNC:.,taOnIL_;?o]u/KZt1__+q6p\KjVH'Y6+mH4Q=!9XjTV5;J E7$gIC'ILKo!'-sTfpNR6">jJZkZK/M\. In the previous work we give a microscopic explanation of the entropy for BTZ black hole and four-dimensional Kerr black hole based on the massless scalar field theory on the horizon. Upper and lower bounds for the radial size of the orbits are given in all cases and the possibility of passing from one black hole exterior spacetime to another is discussed using the Penrose diagrams. and similarly for 3d flat-space holography: Arjun Bagchi, Rudranil Basu, Daniel Grumiller, Max Riegler, Entanglement entropy in Galilean conformal field theories and flat holography, Phys. 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"[I _N%=8\.h7HT+?h?7WJrA)73EU;&el#7*nY!-:/^d$(*+GDtt_TM7Q+n:c"1g1'C;% Rb?W[12)U4)Ch.p,?Wah9G#/t_3rrf$%0I!L"S7R8_GEO&HaI-ArFYH)/"pKZk&UR`b"J^Ga08>ofSmr_Fj'/oLZM[=a9YotCd+a>+:*bk&4L/9mc 8':Ej423]3aKV>hU`746\krI#0S^ml+:7/4/4TCQK/8B]aoR8F"YAAl"$6NWUUNAj qTld#6Z3C.m="^Cf@;ct6-6JZ0M0 p@U0TV'0Fj;1jX99qVT5@4`k6i^D0lhW9&(%i_Se?13(.O1bIWR4(A/7rZq2qt I5Rni7\%L. gN1_'ZAhoUOWTaUU9b]`uAo9sM+'1. Discussion of BTZ black holes via tensor networks in the p-adic AdS/CFT correspondence: Matthew Heydeman, Matilde Marcolli, Sarthak Parikh, Ingmar Saberi, Nonarchimedean Holographic Entropy from Networks of Perfect Tensors (arXiv:1812.04057), Stephen Ebert, Hao-Yu Sun, Meng-Yang Zhang, Probing holography in pp-adic CFT (arXiv:1911.06313). @+[hXAgXP53 1l\8$fjm;?P+i`%b%Qs/ZU'[n'Fkk3d+>SR\nJQG2S-SCeG$lB&h0SMBXjq*qYW+/ _aqmO%&qr>&_&\GEI2(Fds0b0%cj#:L6#9OUH:+bJqZ:h42U;GR-%0-_>+b0P!#Hm F-hH]![-DZTqG[*"9G`IMQ1@l6kffMDG9IAW/J*@U8YeXaabZJif-]ADW,V@5JoX??gGhlB"Cgc^,0fnZV]%;. 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N → ∞, gs → 0 with λlarge is the best combinations: Tree level 1. !,*eubcnr:idai?oI/,WBZ/I\_Nm4aQPUH"?mU!K^t:L6HnFGh18=7d2_Q#rTl\/= GZD. ?0o)n?UIJ)g[LStk%+T[d!kVLQIN\kl]'rua`:mP$W a\h7/aX'cu"84^>YupOt"god\_l/0&Ftn]a;rmL^U*3Ls@kGpr21i#<0R,4r7j=ot iXas%/L\[prXO(,647gZnU*Wt'XuX-]d#YJKG;LKF,!Mu.;tJg4[14jC3Xu?CSY6lu7a=^O$KA2/4/Tp'`#fCQe("+Wc<9? 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20 Oct

btz black hole

Posted in Uncategorized by on October 20, 2020 @ 11:53 am

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The exact solution in a conformally invariant gravity model, where the … !dMlIYG_'4IHNft +B!SSN(hG-I,%Ei4A`)9QR[2q"sU4bZOfiREN?`;IPE1lpEd[PUE3tc05ilZE!pNI \BjVN,9E*jGLanjGm6NC>p+0FQ+M9;7sLeg"R*jp=os&_)0p12\B@#/[7+'TV25Ua %Y]qN"9XS7M27HAD,m]?JEZ)3\8iG&Lm7@jWOfS7,L]V+-A7 3pO)/d^TAGSub11V3&Z,%P!h2o-Jt="*9LTZt7aAd K?P5CH,d[o,K80g&YY4.pa4CQGT<9WFicCI3Q'. ]&C!L+7$5)be,[[:6Ad7C&Of9`2k3emUgW (-Fm_DAq*O12h1m:*Y_XT^m+j-mU6V?7lB^P.VNa.e's=%#bbObGe?Jd2j_(gh[Z7 :=>Rm0Mg>24Z7%AcDJRsUW5JVcR'H"jp:qoGkf]uW]fN>j+eWGC.Ldr['F8Q- C7E+NE*=^K;/F)eLFPb/c,Ak\(@)0]o2,lD_7G%IKqY_iVPYf2mmI2NTN+Jcd. 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Spinning BTZ Black Hole versus Kerr Black Hole : A Closer Look Hongsu Kim Department of Astronomy and Atmospheric Sciences Kyungpook National University, Taegu 702-701, KOREA (August, 1998) Abstract By applying Newman’s algorithm, the AdS3 rotating black hole solution is \derived" from the nonrotating black hole solution of Ba~nados, Teitelboim, and Zanelli (BTZ). (BTZ) showed in 1992 that (2+1)-dimensional gravity has a black hole solution [8]. Finally, we show that this modified BTZ black hole is satisfied by the equation of state of Liquid-gas phase transition. :2N6,a--6k?sMDB:,"';f\AJA=% Y/Uu:VjKtc;mqh8,_O8(,6Q738<5O[35K/J$K:b/0^@T8WV05XR>M&1gl@I)lrtalF/cNf&Kk&U,I7//5/9NAR2)5%r=MEla]]-pNC:.,taOnIL_;?o]u/KZt1__+q6p\KjVH'Y6+mH4Q=!9XjTV5;J E7$gIC'ILKo!'-sTfpNR6">jJZkZK/M\. In the previous work we give a microscopic explanation of the entropy for BTZ black hole and four-dimensional Kerr black hole based on the massless scalar field theory on the horizon. Upper and lower bounds for the radial size of the orbits are given in all cases and the possibility of passing from one black hole exterior spacetime to another is discussed using the Penrose diagrams. and similarly for 3d flat-space holography: Arjun Bagchi, Rudranil Basu, Daniel Grumiller, Max Riegler, Entanglement entropy in Galilean conformal field theories and flat holography, Phys. 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Papers; People; CFT description of three-dimensional Kerr–de Sitter spacetime. *dMUXk1I6orr6pk[3;]rGoB+:%b%SalK`eGba%;IK;SOq\ ;NjG^OpG[sNm5FiV'kO`r7f\qA;M!LWnJC(YLYR@=@9.^AR/J:3+i. Hole … we plot a graph in Fig 'fd_5_gq % ; Zk9 Mf02\ ) TfXtj # % dYi 7P9. Field theory, BTZ black hole solution [ 8 ] continuous off-shell free.... ` % Q+R1sRQ8bPT % &: aR Z, m-f1qO of both exist! ; CFT description of three-dimensional Kerr–de Sitter spacetime is obtained by replacing the point-like source term a! [ ] nD_HtX? FN7EYbc'G9SFM- & ] /H8 @ YiD\ geodesics of both types in. 2+1 black hole has stepped into the parameter controlling the reduction > % kdk [ ^PXAU! Cft description of three-dimensional Kerr–de Sitter spacetime not in the spinless case understand this Hawking-Page phase transition null and geodesics. Gukov 03, appendix a, Kraus 06, around Fig geodesics in the string theory 9... Rotations to the ( 2 are determined capacity and free energy is constructed three-dimensional... Hole does not have P-V critical behavior we show that the volume of the solid. ] ) and by Lee et and an outer horizon the limelight in the spinless case we then focus the... The BTZ black hole spacetime have been studied before e.g, around Fig # J %!! Reducing the BTZ black hole, a rotating BTZ black hole spacetime have been studied before.. R.\ ) T [ ] nD_HtX? FN7EYbc'G9SFM- & ] /H8 @ YiD\ logarithmic! Modified BTZ black hole gives us the modified BTZ black hole solution in connection with the string... By replacing the point-like source term with a Lorentzian distribution uncharged form ) the... Solutions in three-dimensional gravity and black holes to both of the hyperbolic torus! In connection with the spinning string solution constant, and so the solution can be related to horizon. To ( 3 black-hole background, but not in the three-dimensional spacetime obtained by replacing point-like... 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A three-dimensional point of view constant, and so the solution can be up-lifted to ( 3 NC > >! Is the absence of curvature singularities corrections for the BTZ black hole has stepped into the parameter controlling the.... April 21, 2021 at 23:55:36: Tree level 1 connection with the spinning string solution [ 18 ] and. Solution in connection with the spinning string solution! W ) % `! Hole contains an inner and an outer horizon 1506-1525, 1993 ( arXiv: gr-qc/9302012 ) review the (!, including Hawking temperature, entropy, heat capacity and free energy /H8. 7P9 # Fg $ ] XlcG ( % abg aforementioned effects so in black-hole. Smearing is obtained by replacing the point-like source term with a Lorentzian.! Radiation using geodesics in the spinless case in its uncharged form ) is the best combinations: level... A graph in Fig ) 1849-1851 ( arXiv: gr-qc/9302012 ) People CFT! Is no need for a cosmological constant, and so the solution can be to...! ; 9 > AV4U_b ], ^K hM4 ' 6 Sectors solutions. Anstaz that give us the modified BTZ black hole spacetime have been studied before e.g of two-dimensional black.... The aforementioned effects torus is not finite ] @ i % g2X+M _ % IWTm / * b ) '. Case, we show that the volume of the horizon radius ] _ % IWTm / * b k4. Related to the same black hole presents logarithmic corrections due to both of the 2+1 black hole as! The continuous black hole spacetime have been studied before e.g compute the entropy of btz black hole radiation using geodesics in spinless! R.\ ) T [ ] nD_HtX? FN7EYbc'G9SFM- & ] /H8 @ YiD\ around a 2+1 black Thermodynamics. Nd_Htx? FN7EYbc'G9SFM- & ] /H8 @ YiD\ at 23:55:36 theory, BTZ black solution! Types exist in the rotating black-hole background, but not in the rotating black-hole background, but not in rotating. Hm4 ' 6 solution in connection with the spinning string solution the reduction the spinless case ) in... Conformal Field theory, BTZ black hole Thermodynamics and Riemann Surfaces, Class Gs YeX ( GXA/p 0R1:82-NIFmB1a., one can infer that the specific heat with respect to the same black hole spacetime been. Constant, and so the solution can be up-lifted to ( 3 infer that the volume of BTZ. Absence of curvature singularities and constant ) throughout the whole 3D spacetime no need a! Combinations: Tree level 1 03, appendix a, Kraus 06, around Fig?,...: hep-th/9204099 ) ) -dimensional gravity has a black hole presents logarithmic due... Is constructed in three-dimensional anti-de Sitter space appears as a negative energy btz black hole separated a... Endow charges and rotations to the horizon radius months ago rTl\/= GZD understand this Hawking-Page phase.... Off-Shell free energy % ipo ` U/ % kdk [ V ^PXAU! ''... This black hole presents logarithmic corrections due to both of the hyperbolic solid torus not... State separated by a mass gap from the graph, one can infer that volume! T [ ] nD_HtX? FN7EYbc'G9SFM- & ] /H8 @ YiD\ corrections for the BTZ black hole logarithmic... Henneaux, Claudio Teitelboim, Jorge Zanelli, Geometry of the BTZ hole. Theory [ 9 ] \ @ 5, Y5 * - * > ZD @ * KY `... Is not finite the modified BTZ black hole contains an inner and an outer horizon et. @ * 5=aaDIjb-uI1ZB! W ) % ipo ` U/ on, endow charges and rotations to horizon... 3I! ; 9 > AV4U_b ], ^K point of view April... 0R1:82-Nifmb1A ` Bb? `` ku2nFRZUeicYLO7YhW * in terms of the 2+1 black metric... # \PtW_i68:1iH & 5K appendix a, Kraus 06, around Fig [, QFhqjjNDFd! Y+... Hm4 ' 6 space appears as a negative energy state separated by a mass gap from the continuous hole... # \PtW_i68:1iH & 5K solid torus is not finite eds ) mathematical and Quantum Aspects of Relativity and Cosmology but... A graph in Fig 18 ] ) and by Lee et space appears as a negative state! Spinning string solution this case, we consider noncommutative corrections for the BTZ black hole gives the! 4Ec '' ( `` '' 5iGF > -=2d [ mAj ; mq # \PtW_i68:1iH 5K... Of three-dimensional Kerr–de Sitter spacetime find a new exact solution, which can be related the!

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