Conserved charges of quadratic curvature gravity theories in arbitrary backgrounds

Download

index.pdf

Date

2010

Author

Devecioğlu, Deniz Olgu

Metadata

Show full item record

Item Usage Stats

155
views

67
downloads

We generalize the definition of conserved gravitational Killing charges of quadratic curvature gravity theories to arbitrary backgrounds that admit at least one global (time-like) Killing vector. This charge definition is background gauge invariant and reduces correctly to the already known limit given by [1] when the background is a space of constant curvature. As an application we use this definition to compute the charges of various black holes in New Massive Gravity; namely the BTZ black hole, the black hole given in [2] and the Lifshitz black hole. Finally we compare the charges of these black holes with the ones given in [3], which uses a different approach.

Subject Keywords

Space and time.

URI

http://etd.lib.metu.edu.tr/upload/12612476/index.pdf
https://hdl.handle.net/11511/20119

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

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.
The momentum 4-vector imparted by gravitational waves in Bianchi-type metrics Havare, A; Korunur, M; Salti, M (Springer Science and Business Media LLC, 2006-01-01) Considering the MOller, Weinberg and Qadir-Sharif's definitions in general relativity, we find the momentum 4-vector of the closed universe based on the Bianchi-type metrics. The momentum 4-vector (due to matter plus fields) is found to be zero. This result supports the viewpoints of Albrow and Tryon and extends the previous works by Cooperstock-Israelit, Rosen, Johri et al., Banerjee-Sen and Vargas who investigated the problem of the energy in Friedmann-Robertson-Walker universe and SaltI-Havare who studie...
Conserved Killing charges of quadratic curvature gravity theories in arbitrary backgrounds Devecioglu, Deniz Olgu; Sarıoğlu, Bahtiyar Özgür (2011-01-24) We extend the Abbott-Deser-Tekin procedure of defining conserved quantities of asymptotically constant-curvature spacetimes, and give an analogous expression for the conserved charges of geometries that are solutions of quadratic curvature gravity models in generic D dimensions and that have arbitrary asymptotes possessing at least one Killing isometry. We show that the resulting charge expression correctly reduces to its counterpart when the background is taken to be a space of constant curvature and, more...
Conserved charges in various theories of gravity Özşahin, Hikmet; Tekin, Bayram; Department of Physics (2022-9) The first law of black hole thermodynamics in the presence of a cosmological constant $\Lambda$ can be generalized by introducing a term containing the variation $\delta\Lambda$. Similar to other terms in the first law, which are variations of some conserved charges like mass, entropy, angular momentum, electric charge etc and it has been shown in \cite{1} that the new term has the same structure: $\Lambda$ is a conserved charge associated with a gauge symmetry. In this work, first we propose and prove the...
Energy-momentum of a stationary beam of light in teleparallel gravity Aydogdu, Oktay; Salti, Mustafa (Springer Science and Business Media LLC, 2006-01-01) In this paper, we utilize the teleparallel gravity analogs of the energy and momentum definitions of Bergmann-Thomson and Landau-Lifshitz in order to explicitly evaluate the energy distribution (due to matter and fields including gravity) based on the Bormor space-time, it is shown that for a stationary beam of light, these energy-momentum definitions give the same result. Furthermore, this result supports the viewpoint of Cooperstock and also agree with the previous works by Bringley and Gad.

Citation Formats

D. O. Devecioğlu, “Conserved charges of quadratic curvature gravity theories in arbitrary backgrounds,” M.S. - Master of Science, Middle East Technical University, 2010.