Conserved charges in timelike Warped-AdS${}_3$ spaces

Abstract

We consider the timelike version of Warped Anti-de Sitter space (WAdS), which corresponds to the three-dimensional section of the Gödel solution of four-dimensional cosmological Einstein equations. This geometry presents closed timelike curves (CTCs), which are inherited from its four-dimensional embedding. In three dimensions, this type of solutions can be supported without matter provided the graviton acquires mass. Here, among the different ways to consistenly give mass to the graviton in three dimensions, we consider the parity-even model known as New Massive Gravity (NMG). In the bulk of timelike WAdS${}_3$ space, we introduce defects that, from the three-dimensional point of view, represent spinning massive particle-like objects. For this type of sources, we investigate the definition of quasi-local gravitational energy as seen from infinity, far beyond the region where the CTCs appear. We also consider the covariant formalism applied to NMG to compute the mass and the angular momentum of spinning particle-like defects, and compare the result with the one obtained by means of the quasi-local stress-tensor. We apply these methods to special limits in which the WAdS${}_3$ solutions coincide with locally AdS${}_3$ and locally AdS${}_2\times \mathbb{R}$ spaces. Finally, we make some comments about the asymptotic symmetry algebra of asymptotically WAdS${}_3$ spaces in NMG.

arXiv comment16 pages, published version

References in corpus (33)

• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• The dS/CFT Correspondence
• Massive Gravity in Three Dimensions
• Covariant theory of asymptotic symmetries, conservation laws and central charges
• Mass, Entropy and Holography in Asymptotically de Sitter Spaces
• Warped AdS_3 Black Holes
• More on Massive 3D Gravity
• Surface charge algebra in gauge theories and thermodynamic integrability
• Black hole mass and angular momentum in topologically massive gravity
• Warped Conformal Field Theory
• Lifshitz Black Hole in Three Dimensions
• The black holes of topologically massive gravity
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Warped AdS_3 black holes in new massive gravity
• Warped Conformal Field Theory as Lower Spin Gravity
• Electric/Magnetic Deformations of S^3 and AdS_3, and Geometric Cosets
• Godel metric as a squashed anti-de Sitter geometry
• Bending AdS Waves with New Massive Gravity
• A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds
• Warped AdS3/Dipole-CFT Duality
• Three dimensional origin of Godel spacetimes and black holes
• Anti-de Sitter space, squashed and stretched
• Three-dimensional black holes from deformed anti-de Sitter
• Quantization of heterotic strings in a Goedel/Anti de Sitter spacetime and chronology protection
• Black holes with a null Killing vector in three-dimensional massive gravity
• Hopfing and Puffing Warped Anti-de Sitter Space
• Liouville theory beyond the cosmological horizon
• Mass and Angular momentum of Black Holes in New Massive Gravity
• Topologically massive gravito-electrodynamics: exact solutions
• The Brown-York mass of black holes in Warped Anti-de Sitter space
• Anisotropic Scale Invariant Spacetimes and Black Holes in Zwei-Dreibein Gravity
• Solutions of massive gravity theories in constant scalar invariant geometries
• Holographic entropy of Warped-AdS${}_3$ black holes

Cited by in corpus (9)

• Warped-AdS3 black holes with scalar halo
• Phase transitions in Bergshoeff-Hohm-Townsend Massive Gravity
• Stability of Horizon in Warped AdS Black Hole via Particle Absorption
• Supersymmetric Solutions of N = (1,1) General Massive Supergravity
• Inhomogeneous metrics on complex bundles in Lovelock gravity
• Holographic entropy of Warped-AdS${}_3$ black holes
• Thermodynamics of Warped Anti-de Sitter Black Holes under Scattering of Scalar Field
• WAdS${}_3$/CFT${}_2$ correspondence in presence of bulk massive gravitons
• Critical points of WAdS/CFT and higher-curvature gravity