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 . Also, in contrast to naïve 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.
- Received 24 October 2013
DOI:https://doi.org/10.1103/PhysRevD.89.027503
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