Gravity/CFT correspondence for three-dimensional Einstein gravity with a conformal scalar field

被引：21

作者：

Hasanpour, M. ^{[1
]}

Loran, F. ^{[1
]}

Razaghian, H. ^{[1
]}

机构：

[1] Isfahan Univ Technol, Dept Phys, Esfahan 8415683111, Iran

来源：

NUCLEAR PHYSICS B | 2013年 / 867卷 / 02期

关键词：

Gravity/CFT correspondence; 3D black holes; BLACK-HOLE; ASYMPTOTIC SYMMETRIES; THIN SHELLS; CHARGES;

D O I：

10.1016/j.nuclphysb.2012.10.002

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 study the three-dimensional Einstein gravity conformally coupled to a scalar field. Solutions of this theory are geometries with vanishing scalar curvature. We consider solutions with a constant scalar field which corresponds to an infinite Newton's constant. There is a class of solutions with possible curvature singularities which asymptotic symmetries are given by two copies of the Virasoro algebra. We argue that the central charge of the corresponding CFT is infinite. Furthermore, we construct a family of Schwarzschild solutions which can be conformally mapped to the Martinez-Zanelli solution of Einstein's equations with a negative cosmological constant coupled to conformal scalar field. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：483 / 505

页数：23

共 49 条

[1]

[Anonymous], ARXIVHEPTH9805114

[2] Birkhoff's theorem for three-dimensional AdS gravity -: art. no. 044027 [J].

Ayón-Beato, E ;

Martínez, C ;

Zanelli, J .

PHYSICAL REVIEW D, 2004, 70 (04)

[3]

Bagchi A., ARXIV12035795HEPTH

[4] A stress tensor for anti-de Sitter gravity [J].

Balasubramanian, V ;

Kraus, P .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 208 (02) :413-428

[5] Beyond the veil: Inner horizon instability and holography [J].

Balasubramanian, V ;

Levi, TS .

PHYSICAL REVIEW D, 2004, 70 (10) :106005-1

[6]

Balasubramanian V., 2010, J HIGH ENERGY PHYS, V1002, P017

[7] BLACK-HOLE IN 3-DIMENSIONAL SPACETIME [J].

BANADOS, M ;

TEITELBOIM, C ;

ZANELLI, J .

PHYSICAL REVIEW LETTERS, 1992, 69 (13) :1849-1851

[8] GEOMETRY OF THE 2+1 BLACK-HOLE [J].

BANADOS, M ;

HENNEAUX, M ;

TEITELBOIM, C ;

ZANELLI, J .

PHYSICAL REVIEW D, 1993, 48 (04) :1506-1525

[9] Embeddings of the Virasoro algebra and black hole entropy [J].

Bañados, M .

PHYSICAL REVIEW LETTERS, 1999, 82 (10) :2030-2033

[10] Covariant theory of asymptotic symmetries, conservation laws and central charges [J].

Barnich, G ;

Brandt, F .

NUCLEAR PHYSICS B, 2002, 633 (1-2) :3-82

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