English

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

R2 v1 2026-06-22T01:43:50.351Z