Non-Einstein source effects in massive gravity
General Relativity and Quantum Cosmology
2014-01-22 v3
Abstract
We exhibit novel effects (absent in GR) of sources in massive gravity. First, we show that removing its ghost mode forces a field-current identity: The metric's trace is locally proportional to that of its stress tensor; a point source implies a metric singularity enhanced by the square of the graviton's range. Second, exterior solutions acquire spatial stress hair--their metric components depend on the interior T_ij. Also, in contrast to naive expectations, the Newtonian potential of a source is now determined by both its spatial stress and mass. Our explicit results are obtained at linear, Fierz-Pauli, level, but qualitatively persist nonlinearly.
Keywords
Cite
@article{arxiv.1310.2675,
title = {Non-Einstein source effects in massive gravity},
author = {S. Deser and A. Waldron},
journal= {arXiv preprint arXiv:1310.2675},
year = {2014}
}
Comments
2 pages, LaTeX, further improved title, version to appear in PRD