Classical double copy: Kerr-Schild-Kundt metrics from Yang-Mills theory

Download

index.pdf

Date

2018-12-28

Author

GÜRSES, METİN
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

159
views

49
downloads

The classical double copy idea relates some solutions of Einstein's theory with those of gauge and scalar field theories. We study the Kerr-Schild-Kundt (KSK) class of metrics in d dimensions in the context of possible new examples of this idea. We first show that it is possible to solve the Einstein-Yang-Mills system exactly using the solutions of a Klein-Gordon-type scalar equation when the metric is the pp-wave metric, which is the simplest member of the KSK class. In the more general KSK class, the solutions of a scalar equation also solve the Yang-Mills, Maxwell, and Einstein-Yang-Mills-Maxwell equations exactly, albeit with a null fluid source. Hence, in the general KSK class, the double copy correspondence is not as clear-cut as in the case of the pp wave. In our treatment, all the gauge fields couple to dynamical gravity and are not treated as test fields. We also briefly study Godel-type metrics along the same lines.

Subject Keywords

Physics and Astronomy (miscellaneous)

URI

https://hdl.handle.net/11511/49246

Journal

PHYSICAL REVIEW D

DOI

https://doi.org/10.1103/physrevd.98.126017

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Second order perturbation theory in general relativity: Taub charges as integral constraints Altas, Emel; Tekin, Bayram (American Physical Society (APS), 2019-05-01) In a nonlinear theory, such as general relativity, linearized field equations around an exact solution are necessary but not sufficient conditions for linearized solutions. Therefore, the linearized field equations can have some solutions which do not come from the linearization of possible exact solutions. This fact can make the perturbation theory ill defined, which would be a problem both at the classical and semiclassical quantization level. Here we study the first and second order perturbation theory i...
Non-Riemannian gravity and the Einstein-Proca system Dereli, T; Onder, M; Schray, J; Tucker, RW; Wang, C (IOP Publishing, 1996-08-01) We argue that all Einstein-Maxwell or Einstein-Proca solutions to general relativity may be used to construct a large class of solutions (involving torsion and non-metricity) to theories of non-Riemannian gravitation that have been recently discussed in the literature.
Accelerated Born-Infeld metrics in Kerr-Schild geometry GÜRSES, METİN; Sarıoğlu, Bahtiyar Özgür (IOP Publishing, 2003-01-21) We consider Einstein Born-Infeld theory with a null fluid in Kerr-Schild geometry. We find accelerated charge solutions of this theory. Our solutions reduce to the Plebanski solution when the acceleration vanishes and to the Bonnor-Vaidya solution as the Born-Infeld parameter b goes to infinity. We also give the explicit form of the energy flux formula due to the acceleration of the charged sources.
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.
Kerr-Schild-Kundt metrics are universal GÜRSES, METİN; Sisman, Tahsin Cagri; Tekin, Bayram (IOP Publishing, 2017-04-06) We define (non-Einsteinian) universal metrics as the metrics that solve the source-free covariant field equations of generic gravity theories. Here, extending the rather scarce family of universal metrics known in the literature, we show that the Kerr-Schild-Kundt class of metrics are universal. Besides being interesting on their own, these metrics can provide consistent backgrounds for quantum field theory at extremely high energies.

Citation Formats

M. GÜRSES and B. Tekin, “Classical double copy: Kerr-Schild-Kundt metrics from Yang-Mills theory,” PHYSICAL REVIEW D, pp. 0–0, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/49246.