Holography in Three-dimensional Kerr-de Sitter Space with a Gravitational Chern-Simons Term

Abstract

The holographic description of the three-dimensional Kerr-de Sitter space with a gravitational Chern-Simons term is studied, in the context of dS/CFT correspondence. The space has only one (cosmological) event horizon and its mass and angular momentum are identified from the holographic energy-momentum tensor at the asymptotic infinity. The thermodynamic entropy of the cosmological horizon is computed directly from the first law of thermodynamics, with the usual Hawking temperature, and it is found that the usual Gibbons-Hawking entropy is modified. It is remarked that, due to the gravitational Chern-Simons term, (a) the results go beyond analytic continuation from AdS, (b) the maximum-mass/N-bound conjecture may be violated, and (c) the three-dimensional cosmology is chiral. A statistical mechanical computation of the entropy, from a Cardy-like formula for a dual CFT at the asymptotic boundary, is discussed. Some technical difference in the Chern-Simons energy-momentum tensor, from literatures is remarked also.

arXiv commentTypos corrected; Accepted in CQG

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• Sailing from Warped AdS_3 to Warped dS_3 in Topologically Massive Gravity
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• Galilean Conformal Algebra in Two Dimensions and Cosmological Topologically Massive Gravity
• Smeared Hairs and Black Holes in Three-Dimensional de Sitter Spacetime
• Regular black holes in de Sitter universe: scalar field perturbations and quasinormal modes
• Left-Right Asymmetric Holographic RG Flow with Gravitational Chern-Simons Term
• Horava Gravity and Gravitons at a Conformal Point
• Holographic Renormalisation for the Spin-3 Theory and the (A)dS3/CFT2 correspondence
• Constraining the Detailed Balance Condition in Horava Gravity with Cosmic Accelerating Expansion
• Statistical Mechanics of Three-dimensional Kerr-de Sitter Space
• Rotating Black Holes in Three-Dimensional Horava Gravity Revisited