Accelerated Levi-Civita-Bertotti-Robinson Metric in D-Dimensions

Abstract

A conformally flat accelerated charge metric is found in an arbitrary dimension $D$. It is a solution of the Einstein-Maxwell-null fluid with a cosmological constant in $D\ge 4$ 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.

Latex File, 12 pages

References in corpus (4)

• Nariai, Bertotti-Robinson and anti-Nariai solutions in higher dimensions
• Accelerated Born-Infeld Metrics in Kerr-Schild Geometry
• Lienard-Wiechert Potentials in Even Dimensions
• Lienard-Wiechert Potentials of a Non-Abelian Yang Mills Charge