The Kerr-Schild double copy in Lifshitz spacetime

Download

Alkaç2021_Article_TheKerr-SchildDoubleCopyInLifs.pdf

Date

2021-05-01

Author

Alçak, Gökhan
Gümüş, Mehmet Kemal
Tek, Mustafa

Metadata

Show full item record

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

Item Usage Stats

212
views

82
downloads

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 demonstrate this effect explicitly by studying gravitational solutions with non-zero cosmological constant. We show that, when the background is flat, the constant charge density filling all space in the gauge theory that has been observed in previous works is a consequence of this curvature term. As an example of a solution with a curved background, we study the Lifshitz black hole with two different matter couplings. The curvature of the background, i.e., the Lifshitz spacetime, again yields a constant charge density; however, unlike the previous examples, it is canceled by the contribution from the matter fields. For one of the matter couplings, there remains no additional non-localized source term, providing an example for a non-vacuum gravity solution corresponding to a vacuum gauge theory solution in arbitrary dimensions.

Subject Keywords

Black Holes

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85106933727&origin=inward
https://hdl.handle.net/11511/91210

Journal

Journal of High Energy Physics

DOI

https://doi.org/10.1007/jhep05(2021)214

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

A SPINOR MODEL FOR QUANTUM COSMOLOGY DERELI, T; ONDER, M; TUCKER, RW (1994-03-31) The question of the interpretation of Wheeler-DeWitt solutions in the context of cosmological models is addressed by implementing the Hamiltonian constraint as a spinor wave equation in minisuperspace. We offer a relative probability interpretation based on a non-closed vector current in this space and a prescription for a parametrisation of classical solutions in terms of classical time. Such a prescription can accommodate classically degenerate metrics describing manifolds with signature change. The relat...
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...
Anisotropic solutions for generalised holography Devecioğlu, Deniz Olgu; Sarıoğlu, Bahtiyar Özgür; Department of Physics (2016) We first find that the four dimensional cosmological Einstein-Yang-Mills theory with $SU(2)$ gauge group admits Lifshitz spacetime as a base solution for the dynamical exponent $z > 1$. Motivated by this, we next demonstrate numerically that the field equations admit black hole solutions which behave regularly on the horizon and at spatial infinity for different horizon topologies. In the second part, using an off-shell Killing spinor analysis we perform a systematic investigation of the supersymmetric back...
General analysis of self-dual solutions for the Einstein-Maxwell-Chern-Simons theory in (1+2) dimensions Dereli, T; Obukhov, YN (2000-07-15) The solutions of the Einstein-Maxwell-Chem-Simons theory are studied in (1+2) dimensions with the self-duality condition imposed on the Maxwell field. We give a closed form of the general solution which is determined by a single function having the physical meaning of the quasilocal angular momentum of the solution. This function completely determines the geometry of spacetime, also providing the direct computation of the conserved total mass and angular momentum of the configurations.
Supersymmetric backgrounds and black holes in N = 1 , 1 $$ \mathcal{N}=\left(1,\;1\right) $$ cosmological new massive supergravity Alkaç, Gökhan; Basanisi, Luca; Bergshoeff, Eric A.; Devecioğlu, Deniz Olgu; Ozkan, Mehmet (Springer Science and Business Media LLC, 2015-10) Using an off-shell Killing spinor analysis we perform a systematic investigation of the supersymmetric background and black hole solutions of the N = (1, 1) Cosmological New Massive Gravity model. The solutions with a null Killing vector are the same pp-wave solutions that one finds in the N = 1 model but we find new solutions with a time-like Killing vector that are absent in the N = 1 case. An example of such a solution is a Lifshitz spacetime. We also consider the supersymmetry properties of the so-calle...

Citation Formats

G. Alçak, M. K. Gümüş, and M. Tek, “The Kerr-Schild double copy in Lifshitz spacetime,” Journal of High Energy Physics, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85106933727&origin=inward.