Large rotating AdS black holes from fluid mechanics

被引：82

作者：

Bhattacharyya, Sayantani ^{[1
]}

Lahiri, Subhaneil ^{[2
]}

Loganayagam, R. ^{[1
]}

Minwalla, Shiraz ^{[1
]}

机构：

[1] Tata Inst Fundamental Res, Dept Theoret Phys, Homi Bhabha Rd, Bombay 400005, Maharashtra, India

[2] Harvard Univ, Jefferson Phys Lab, Cambridge, MA 02138 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2008年 / 09期

关键词：

gauge-gravity correspondence; black holes in string theory; AdS-CFT correspondence; black holes;

D O I：

10.1088/1126-6708/2008/09/054

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We use the AdS/CFT correspondence to argue that large rotating black holes in global AdS(D) spaces are dual to stationary solutions of the relativistic Navier-Stokes equations on SD-2. Reading off the equation of state of this fluid from the thermodynamics of non-rotating black holes, we proceed to construct the nonlinear spinning solutions of fluid mechanics that are dual to rotating black holes. In all known examples, the thermodynamics and the local stress tensor of our solutions are in precise agreement with the thermodynamics and boundary stress tensor of the spinning black holes. Our fluid dynamical description applies to large non-extremal black holes as well as a class of large non-supersymmetric extremal black holes, but is never valid for supersymmetric black holes. Our results yield predictions for the thermodynamics of all large black holes in all theories of gravity on AdS spaces, for example, string theory on AdS(5) x S-5 and M theory on AdS(4) x S-7 and AdS(7) x S-4.

引用

页数：58

共 39 条

[1] Plasma balls in large-N gauge theories and localized black holes [J].

Aharony, O ;

Minwalla, S ;

Wiseman, T .

CLASSICAL AND QUANTUM GRAVITY, 2006, 23 (07) :2171-2210

[2] Large N field theories, string theory and gravity [J].

Aharony, O ;

Gubser, SS ;

Maldacena, J ;

Ooguri, H ;

Oz, Y .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 323 (3-4) :183-386

[3]

Aharony O, 2004, ADV THEOR MATH PHYS, V8, P603

[4]

[Anonymous], LIVING REV REL

[5] Rotating attractors [J].

Astefanesei, Dumitru ;

Goldstein, Kevin ;

Jena, Rudra P. ;

Sen, Ashoke ;

Trivedi, Sandip P. .

JOURNAL OF HIGH ENERGY PHYSICS, 2006, (10)

[6] Holography and rotating AdS black holes [J].

Berman, DS ;

Parikh, MK .

PHYSICS LETTERS B, 1999, 463 (2-4) :168-173

[7] The return of the membrane paradigm?: Black holes and strings in the water tap [J].

Cardoso, Vitor ;

Dias, Oscar J. C. ;

Gualtieri, Leonardo .

INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2008, 17 (3-4) :505-511

[8]

Cheng MCN, 2005, J HIGH ENERGY PHYS

[9] Non-extremal rotating black holes in five-dimensional gauged supergravity [J].

Chong, Z. W. ;

Cvetic, A. ;

Lu, H. ;

Pope, C. N. .

PHYSICS LETTERS B, 2007, 644 (2-3) :192-197

[10] Non-extremal charged rotating black holes in seven-dimensional gauged supergravity [J].

Chong, ZW ;

Cvetic, M ;

Lü, H ;

Pope, CN .

PHYSICS LETTERS B, 2005, 626 :215-222

← 1 2 3 4 →