Bachian gravity in three dimensions

Download

10.1103:PhysRevD.98.104021.pdf

Date

2018-11-16

Author

Alkaç, Gökhan
Tek, Mustafa
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

232
views

125
downloads

In three dimensions, there exist modifications of Einstein's gravity akin to the topologically massive gravity that describe massive gravitons about maximally symmetric backgrounds. These theories are built on the three-dimensional version of the Bach tensor (a curl of the Cotton-York tensor) and its higher derivative generalizations; and they are on-shell consistent without a Lagrangian description based on the metric tensor alone. We give a generic construction of these models, find the spectra and compute the conserved quantities for the Banados-Teitelboim-Zanelli black hole.

Subject Keywords

Physics and Astronomy (miscellaneous), Energy

URI

https://hdl.handle.net/11511/52046

Journal

Physical Review D

DOI

https://doi.org/10.1103/physrevd.98.104021

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

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.
KALUZA-KLEIN REDUCTION OF GENERALIZED THEORIES OF GRAVITY AND NONMINIMAL GAUGE COUPLINGS DERELI, TEKİN; Üçoluk, Göktürk (IOP Publishing, 1990-07-01) The Kaluza-Klein reduction of a generalised theory of gravity in D=5 dimensions is given. The form of the interactions among the gravitational, electromagnetic and massless scalar fields in four dimensional spacetime is exhibited.
Event horizon detecting invariants Tavlayan, Aydın; Tekin, Bayram (American Physical Society (APS), 2020-04-14) Some judiciously chosen local curvature scalars can be used to invariantly characterize event horizons of black holes inD > 3 dimensions, but they fail for the three dimensional Banados-Teitelboim-Zanelli (BTZ) black hole since all curvature invariants are constant. Here we provide an invariant characterization of the event horizon of the BTZ black hole using the curvature invariants of codimension one hypersurfaces instead of the full spacetime. Our method is also applicable to black holes in generic dimen...
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.
Exotic massive gravity: Causality and a Birkhoff-like theorem KILIÇARSLAN, ERCAN; Tekin, Bayram (American Physical Society (APS), 2019-08-16) We study the local causality issue via the Shapiro time-delay computations in the on-shell consistent exotic massive gravity in three dimensions. The theory shows time delay as opposed to time advance despite having a ghost at the linearized level both for asymptotically flat and anti-de Sitter spacetimes. We also prove a Birkhoff-like theorem: any solution with a hypersurface orthogonal non-null Killing vector field is conformally flat; and we find some exact solutions.

Citation Formats

G. Alkaç, M. Tek, and B. Tekin, “Bachian gravity in three dimensions,” Physical Review D, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52046.