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arXiv · 1310.2675

Non-Einstein source effects in massive gravity

S. Deser·A. Waldron
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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.

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S. Deser, A. Waldron. 2013-10-10. Non-Einstein source effects in massive gravity. https://doi.org/10.1103/physrevd.89.027503

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