Holographic c-theorem and Born-Infeld gravity theories

Download

10.1103:PhysRevD.98.046013.pdf

Date

2018-8-15

Author

Alkaç, Gökhan
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

140
views

99
downloads

The requirement of the existence of a holographic c-function for higher derivative theories is a very restrictive one, and hence most theories do not possess this property. Here, we show that, when some of the parameters are fixed, the D >= 3 Born-Infeld gravity theories admit a holographic c-function. We work out the details of the D = 3 theory with no free parameters, which is a nonminimal Born-Infeld type extension of new massive gravity. Moreover, we show that these theories generate an infinite number of higher derivative models admitting a c-function in a suitable expansion, and therefore they can be studied at any truncated order.

Subject Keywords

Physics and Astronomy (miscellaneous), BLACK-HOLE

URI

https://hdl.handle.net/11511/52057

Journal

Physical Review D

DOI

https://doi.org/10.1103/physrevd.98.046013

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

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.
Newtonian counterparts of spin 2 massless discontinuities Deser, S; Tekin, Bayram (IOP Publishing, 2001-12-07) Massive spin 2 theories in flat or cosmological (A not equal 0) backgrounds are subject to discontinuities as the masses tend to zero. We show and explain physically why their Newtonian limits do not inherit this behaviour. On the other hand, conventional 'Newtonian cosmology', where Lambda is a constant source of the potential, displays discontinuities: e.g. for any finite range, Lambda can be totally removed.
Spherically symmetric solutions of Einstein plus non-polynomial gravities Deser, S.; Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (Springer Science and Business Media LLC, 2008-01-01) We obtain the static spherically symmetric solutions of a class of gravitational models whose additions to the General Relativity (GR) action forbid Ricci-flat, in particular, Schwarzschild geometries. These theories are selected to maintain the (first) derivative order of the Einstein equations in Schwarzschild gauge. Generically, the solutions exhibit both horizons and a singularity at the origin, except for one model that forbids spherical symmetry altogether. Extensions to arbitrary dimension with a cos...
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.
The Kerr-Schild double copy in Lifshitz spacetime Alçak, Gökhan; Gümüş, Mehmet Kemal; Tek, Mustafa (2021-05-01) The Kerr-Schild double copy is a map between exact solutions of general relativity and Maxwell’s theory, where the nonlinear nature of general relativity is circumvented by considering solutions in the Kerr-Schild form. In this paper, we give a general formulation, where no simplifying assumption about the background metric is made, and show that the gauge theory source is affected by a curvature term that characterizes the deviation of the background spacetime from a constant curvature spacetime. We demons...

Citation Formats

G. Alkaç and B. Tekin, “Holographic c-theorem and Born-Infeld gravity theories,” Physical Review D, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52057.