English

Schwarzschild Solution from WTDiff Gravity

General Relativity and Quantum Cosmology 2017-01-25 v1 High Energy Physics - Theory

Abstract

We study classical solutions in the Weyl-transverse (WTDiff) gravity. 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. In particular, we find that in a general space-time dimension, the Schwarzschild metric is a classical solution in the WTDiff gravity when it is expressed in the Cartesian coordinate system.

Keywords

Cite

@article{arxiv.1607.06562,
  title  = {Schwarzschild Solution from WTDiff Gravity},
  author = {Ichiro Oda},
  journal= {arXiv preprint arXiv:1607.06562},
  year   = {2017}
}

Comments

11 pages

R2 v1 2026-06-22T15:01:19.733Z