Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-11-02
Class.Quant.Grav.28:025008,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LaTeX; 31 pages. Uses iopart style files
Scientific paper
10.1088/0264-9381/28/2/025008
We obtain a purely local characterisation that singles out the Majumdar-Papapetrou class, the near-horizon Bertotti-Robinson geometry and the Reissner-Nordstr\"om exterior solution, together with its plane and hyperbolic counterparts, among the static electrovacuum spacetimes. These five classes are found to form the whole set of static Einstein-Maxwell fields without sources and conformally flat space of orbits, this is, the conformastat electrovacuum spacetimes. The main part of the proof consists in showing that a functional relationship between the gravitational and electromagnetic potentials must always exist. The classification procedure provides also an improved characterisation of Majumdar-Papapetrou, by only requiring a conformally flat space of orbits with a vanishing Ricci scalar of the usual conveniently rescaled 3-metric. A simple global consideration allows us to state that the asymptotically flat subset of the Majumdar-Papapetrou class and the Reissner-Nordstr\"om exterior solution are the only asymptotically flat conformastat electrovacuum spacetimes.
Gonzalez Guillermo A.
Vera Raül
No associations
LandOfFree
A local characterisation for static charged black holes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A local characterisation for static charged black holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A local characterisation for static charged black holes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-595947