Mass and angular momenta of Kerr anti-de Sitter spacetimes in Einstein-Gauss-Bonnet theory
arXiv:gr-qc/0411135 · doi:10.1088/0264-9381/22/6/002
Abstract
We compute the mass and angular momenta of rotating anti-de Sitter spacetimes in Einstein-Gauss-Bonnet theory of gravity using a superpotential derived from standard Noether identities. The calculation relies on the fact that the Einstein and Einstein-Gauss-Bonnet vacuum equations are the same when linearized on maximally symmetric backgrounds and uses the recently discovered D-dimensional Kerr-anti-de Sitter solutions to Einstein's equations.
References in corpus (7)
- Gauss-Bonnet Black Holes in AdS Spaces
- The General Kerr-de Sitter Metrics in All Dimensions
- Relativistic conservation laws and integral constraints for large cosmological perturbations
- Black hole entropy in string-generated gravity models
- Conserved Charges in Einstein Gauss-Bonnet theory
- On the mass of a Kerr-anti-de Sitter spacetime in D dimensions
- Charged Rotating Black Branes in anti-de Sitter Einstein-Gauss-Bonnet Gravity
Cited by in corpus (14)
- Asymptotics with a positive cosmological constant: I. Basic framework
- Kerr-Schild ansatz in Einstein-Gauss-Bonnet gravity: An exact vacuum solution in five dimensions
- Five-dimensional rotating black holes in Einstein-Gauss-Bonnet theory
- Conserved Charges of Higher D Kerr-AdS Spacetimes
- Invariant conserved currents in gravity theories with local Lorentz and diffeomorphism symmetry
- Asymptotically anti-de Sitter spacetimes and conserved quantities in higher curvature gravitational theories
- Phase space of modified Gauss-Bonnet gravity
- Nonlinear Perturbations and Conservation Laws on Curved Backgrounds in GR and Other Metric Theories
- Einstein-Gauss-Bonnet theory of gravity: The Gauss-Bonnet-Katz boundary term
- Invariant conserved currents in generalized gravity
- Kerr-Gauss-Bonnet Black Holes: An Analytical Approximation
- Three types of superpotentials for perturbations in the Einstein-Gauss-Bonnet gravity
- Comments on conformal masses, asymptotics backgrounds and conservation laws
- Einstein-Katz action, variational principle, Noether charges and the thermodynamics of AdS-black holes