Reissner-Nordstrom Solution from Weyl Transverse Gravity
General Relativity and Quantum Cosmology
2016-11-23 v1 High Energy Physics - Theory
Abstract
We study classical solutions in the Weyl-transverse (WTDiff) gravity coupled to an electro-magnetic field in four space-time dimensions. The WTDiff gravity is invariant under both the local Weyl (conformal) transformation and the volume preserving diffeormorphisms (transverse diffeomorphisms) and is known to be equivalent to general relativity at least at the classical level (perhaps even in the quantum regime). In particular, we find that only in four space-time dimensions, the charged Reissner-Nordstrom black hole metric is a classical solution when it is expressed in the Cartesian coordinate system.
Cite
@article{arxiv.1608.00285,
title = {Reissner-Nordstrom Solution from Weyl Transverse Gravity},
author = {Ichiro Oda},
journal= {arXiv preprint arXiv:1608.00285},
year = {2016}
}
Comments
11 pages. arXiv admin note: text overlap with arXiv:1607.06562