Static Scalar Field Solutions in Symmetric Gravity
General Relativity and Quantum Cosmology
2016-10-03 v2
Abstract
We derive a family of exact solutions for bi-metric gravity with an exchange symmetry between the two metrics. In this two-parameter family of solutions the gravitational field is sourced by a time-independent massless scalar field. We find that the only limit in which the scalar field entirely vanishes is flat space. The regular Schwarzschild-solution is left with a scalar field hidden in the second metric's sector.
Keywords
Cite
@article{arxiv.1603.07075,
title = {Static Scalar Field Solutions in Symmetric Gravity},
author = {S. Hossenfelder},
journal= {arXiv preprint arXiv:1603.07075},
year = {2016}
}
Comments
13 pages, 3 figures, replaced with published version