Accelerated Levi-Civita-Bertotti-Robinson metric in D dimensions

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.


Conserved charges of higher D Kerr-AdS spacetimes
Deser, S; Kanik, I; Tekin, Bayram (IOP Publishing, 2005-09-07)
Rotating solutions of cosmological Einstein gravity in D dimensions, R-mu v = (D - 1)Lambda g(mu v), have been constructed recently [1, 2], extending earlier A = 0 solutions of [3], themselves generalizations of the well-known D = 4 metrics of [4] and [5], and of [6] in D = 5. These geometries provide a useful application of our recent generalized 'conserved charge' definitions, which are also extensions-of the original ADM [7], and AD [9] charges-to cover wider classes of actions [9, 11]: we will compute t...
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.
Radiation in Yang-Mills Formulation of Gravity and a Generalized pp-Wave Metric
Başkal, Sibel (Oxford University Press (OUP), 1999-10-1)
Variational methods applied to a quadratic Yang-Mills-type Lagrangian yield two sets of relations interpreted as the field equations and the energy-momentum tensor for the gravitational field. A covariant condition is imposed on the energy-momentum tensor in order for it to represent the radiation field. A generalized pp-wave metric is found to simultaneously satisfy both the field equations and the radiation condition. The result is compared with that of Lichnerowicz.
New approach to conserved charges of generic gravity in AdS spacetimes
Altas, Emel; Tekin, Bayram (American Physical Society (APS), 2019-02-12)
Starting from a divergence-free rank-4 tensor of which the trace is the cosmological Einstein tensor, we give a construction of conserved charges in Einstein's gravity and its higher derivative extensions for asymptotically anti-de Sitter spacetimes. The current yielding the charge is explicitly gauge invariant, and the charge expression involves the linearized Riemann tensor at the boundary. Hence, to compute the mass and angular momenta in these spacetimes, one just needs to compute the linearized Riemann...
BAYM, SS (Springer Science and Business Media LLC, 1994-10-01)
We calculate the renormalized quantum vacuum energy inside a spherical boundary for the massless conformal scalar field in curved background Robertson-Walker geometry. We use the mode sum method with an exponential cuttoff. In our calculations we do not make assumptions about the exterior geometry or the global topology of the universe.
Citation Formats
M. Gurses and B. Ö. Sarıoğlu, “Accelerated Levi-Civita-Bertotti-Robinson metric in D dimensions,” GENERAL RELATIVITY AND GRAVITATION, pp. 2015–2022, 2005, Accessed: 00, 2020. [Online]. Available: