Some exact solutions of all f(R-mu nu) theories in three dimensions

Download

index.pdf

Date

2012-07-03

Author

GÜRSES, METİN
Sisman, Tahsin Cagri
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

119
views

46
downloads

We find constant scalar curvature Type-N and Type-D solutions in all higher curvature gravity theories with actions of the form f(R-mu nu) that are built on the Ricci tensor, but not on its derivatives. In our construction, these higher derivative theories inherit some of the previously studied solutions of the cosmological topologically massive gravity and the new massive gravity field equations, once the parameters of the theories are adjusted. Besides the generic higher curvature theory, we have considered in some detail the examples of the quadratic curvature theory, the cubic curvature theory, and the Born-Infeld extension of the new massive gravity.

URI

https://hdl.handle.net/11511/41002

Journal

PHYSICAL REVIEW D

DOI

https://doi.org/10.1103/physrevd.86.024001

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

All bulk and boundary unitary cubic curvature theories in three dimensions Gullu, Ibrahim; Sisman, Tahsin Cagri; Tekin, Bayram (American Physical Society (APS), 2011-01-26) We construct all the bulk and boundary unitary cubic curvature parity invariant gravity theories in three dimensions in (anti)-de Sitter spaces. For bulk unitarity, our construction is based on the principle that the free theory of the cubic curvature theory reduces to one of the three known unitary theories which are the cosmological Einstein-Hilbert theory, the quadratic theory of the scalar curvature, or the new massive gravity (NMG). Bulk and boundary unitarity in NMG is in conflict; therefore, cubic th...
Non-Abelian gauge theories of the Yang-Mills type Abuhatab, Ahmed; Başkal, Sibel; Department of Physics (2003) In this thesis, starting from the effective Lagrangians of the standard Yang-Mills, higher derivative Yang-Mills and the Chern-Simons- Yang-Mills theories, we have given the corresponding field equations and the symmetric gauge invariant energy- momentum tensors. Lagrangians containing higher derivative terms have been found useful for discussing the long lange effects of the gluon fields. A numeri cal solution is found for a spherically symmetric static gauge potential. On the other hand, Chern-Simons- Yan...
All unitary cubic curvature gravities in D dimensions Sisman, Tahsin Cagri; Gullu, Ibrahim; Tekin, Bayram (IOP Publishing, 2011-10-07) We construct all the unitary cubic curvature gravity theories built on the contractions of the Riemann tensor in D-dimensional (anti)-de Sitter spacetimes. Our construction is based on finding the equivalent quadratic action for the general cubic curvature theory and imposing ghost and tachyon freedom, which greatly simplifies the highly complicated problem of finding the propagator of cubic curvature theories in constant curvature backgrounds. To carry out the procedure we have also classified all the unit...
ON GENERALIZED LOCAL SYMMETRIES OF THE SO(2,1) INVARIANT NONLINEAR SIGMA-MODEL BASKAL, S; ERIS, A; SATIR, A (1994-12-19) The symmetries and associated conservation laws of the SO(2,1) invariant non-linear sigma model equations in 1+1 dimensions are investigated. An infinite family of generalized local symmetries is presented and the uniqueness of these solutions is discussed.
New approach to conserved charges of generic gravity in AdS spacetimes Altas, Emel; Tekin, Bayram (American Physical Society (APS), 2019-02-12) 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...

Citation Formats

M. GÜRSES, T. C. Sisman, and B. Tekin, “Some exact solutions of all f(R-mu nu) theories in three dimensions,” PHYSICAL REVIEW D, pp. 0–0, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41002.