Accelerated charge Kerr-Schild metrics in D dimensions

We consider the D-dimensional Einstein-Maxwell theory with a null fluid in Kerr-Schild geometry. We obtain a complete set of differential conditions that are necessary for finding the solutions. We examine the case of vanishing pressure and cosmological constant in detail. For this specific case, we give the metric, the electromagnetic vector potential and the fluid energy,density. This is, in fact, the generalization of the well-known Bonnor-Vaidya solution to arbitrary D dimensions. We show that due to the acceleration of charged sources, there is an energy flux in D greater than or equal to 4 dimensions and we give the explicit form of this energy flux formula.


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.
Classical double copy: Kerr-Schild-Kundt metrics from Yang-Mills theory
GÜRSES, METİN; Tekin, Bayram (American Physical Society (APS), 2018-12-28)
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 solu...
Accelerated Levi-Civita-Bertotti-Robinson metric in D dimensions
Gurses, M; Sarıoğlu, Bahtiyar Özgür (Springer Science and Business Media LLC, 2005-12-01)
A conformally flat accelerated charge metric is found in an arbitrary dimension D. It is a solution of the Einstein-Maxwell-null fluid equations with a cosmological constant in D >= 4 dimensions. When the acceleration is zero, our solution reduces to the Levi-Civita-Bertotti-Robinson metric. We show that the charge loses its energy, for all dimensions, due to the acceleration.
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.
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. Ö. Sarıoğlu, “Accelerated charge Kerr-Schild metrics in D dimensions,” CLASSICAL AND QUANTUM GRAVITY, pp. 4249–4261, 2002, Accessed: 00, 2020. [Online]. Available: