Accelerated Born-Infeld metrics in Kerr-Schild geometry

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.


Accelerated charge Kerr-Schild metrics in D dimensions
GÜRSES, METİN; Sarıoğlu, Bahtiyar Özgür (IOP Publishing, 2002-08-21)
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 th...
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...
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.
Gravitational interactions in 2+1 dimensions
Dereli, Tekin; Tucker, Robin W. (IOP Publishing, 1988-7-1)
Modifications to Einstein's vacuum equations for gravitation in 2+1 dimensions are studied. The addition of the Schouten-Eisenhart 2-forms to the field equations admits gravitational wave solutions although no non-trivial static rotationally symmetric metrics exist. Higher-order derivative models for the metric are discussed together with a 2+1 Brans-Dicke theory. The latter is solved for a static metric exhibiting singularities.
Exotic massive gravity: Causality and a Birkhoff-like theorem
KILIÇARSLAN, ERCAN; Tekin, Bayram (American Physical Society (APS), 2019-08-16)
We study the local causality issue via the Shapiro time-delay computations in the on-shell consistent exotic massive gravity in three dimensions. The theory shows time delay as opposed to time advance despite having a ghost at the linearized level both for asymptotically flat and anti-de Sitter spacetimes. We also prove a Birkhoff-like theorem: any solution with a hypersurface orthogonal non-null Killing vector field is conformally flat; and we find some exact solutions.
Citation Formats
M. GÜRSES and B. Ö. Sarıoğlu, “Accelerated Born-Infeld metrics in Kerr-Schild geometry,” CLASSICAL AND QUANTUM GRAVITY, pp. 351–358, 2003, Accessed: 00, 2020. [Online]. Available: