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Gravitational radiation, energy and reaction on quasi-spherical black holes

Sean A. Hayward
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Abstract

Gravitational radiation is locally defined where the wavefronts are roughly spherical. A local energy tensor is defined for the gravitational radiation. Including this energy tensor as a source in the truncated Einstein equations describes gravitational radiation reaction, such as back-reaction on a roughly spherical black hole. The energy-momentum in a canonical frame is covariantly conserved. The strain to be measured by a distant detector is simply defined.

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Sean A. Hayward. 2001-02-05. Gravitational radiation, energy and reaction on quasi-spherical black holes. https://arxiv.org/abs/gr-qc/0012077

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