New approach to conserved charges of generic gravity in AdS spacetimes

Download

index.pdf

Date

2019-02-12

Author

Altas, Emel
Tekin, Bayram

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

229
views

81
downloads

Starting from a divergence-free rank-4 tensor of which the trace is the cosmological Einstein tensor, we give a construction of conserved charges in Einstein's gravity and its higher derivative extensions for asymptotically anti-de Sitter spacetimes. The current yielding the charge is explicitly gauge invariant, and the charge expression involves the linearized Riemann tensor at the boundary. Hence, to compute the mass and angular momenta in these spacetimes, one just needs to compute the linearized Riemann tensor. We give two examples.

Subject Keywords

Physics and Astronomy (miscellaneous)

URI

https://hdl.handle.net/11511/34468

Journal

PHYSICAL REVIEW D

DOI

https://doi.org/10.1103/physrevd.99.044016

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Neutrino oscillations induced by spacetime torsion Adak, M; Dereli, T; Ryder, LH (IOP Publishing, 2001-04-21) The gravitational neutrino oscillation problem is studied by considering the Dirac Hamiltonian in a Riemann-Cartan spacetime and calculating the dynamical phase. Torsion contributions which depend on the spin direction of the mass eigenstates are found. These effects are of the order of Planck scales.
Gravitational interactions in 2+1 dimensions Dereli, Tekin; Tucker, Robin W. (IOP Publishing, 1988-7-1) Modifications to Einstein's vacuum equations for gravitation in 2+1 dimensions are studied. The addition of the Schouten-Eisenhart 2-forms to the field equations admits gravitational wave solutions although no non-trivial static rotationally symmetric metrics exist. Higher-order derivative models for the metric are discussed together with a 2+1 Brans-Dicke theory. The latter is solved for a static metric exhibiting singularities.
More on the classical double copy in three spacetime dimensions Gumus, Mehmet Kemal; Alkaç, Gökhan (American Physical Society (APS), 2020-07-01) It is well known that general relativity in three spacetime dimensions (3D) has no well-defined Newtonian limit. Recently, a static solution mimicking the behavior of the expected Newtonian potential has been found by studying the classical double copy of a point charge in gauge theory [M. Carrillo Gonzlez, B. Melcher, K. Ratliff, S. Watson, and C. D. White, J. High Energy Phys. 07 (2019) 167.]. This is the first example where the vacuum solution in the gauge theory leads to a nonvacuum solution on the grav...
Topologically massive gravity as a Pais-Uhlenbeck oscillator Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (IOP Publishing, 2006-12-21) We give a detailed account of the free- field spectrum and the Newtonian limit of the linearized ` massive' ( Pauli -Fierz), 'topologically massive' ( Einstein Hilbert - Chern - Simons) gravity in 2 + 1 dimensions about a Minkowski spacetime. For a certain ratio of the parameters, the linearized free theory is Jordan diagonalizable and reduces to a degenerate ` Pais - Uhlenbeck' oscillator which, despite being a higher derivative theory, is ghost free.
Some splitting theorems for stably causal spacetime Garcia-Rio, E; Kupeli, DN (Springer Science and Business Media LLC, 1998-01-01) We prove a splitting theorem for stably causal spacetimes and another splitting theorem for finitely compact spacetimes admitting a proper time synchronizable reference frame.

Citation Formats

E. Altas and B. Tekin, “New approach to conserved charges of generic gravity in AdS spacetimes,” PHYSICAL REVIEW D, pp. 0–0, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/34468.