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arxiv: 1312.3204 · v3 · submitted 2013-12-11 · 🌀 gr-qc · hep-th

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Dressing a black hole with a time-dependent Galileon

Eugeny Babichev , Christos Charmousis
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classification 🌀 gr-qc hep-th
keywords scalarblackdependenttimeactionclassfieldfind
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We present a class of exact scalar-tensor black holes for a shift-symmetric part of the Horndeski action. The action includes a higher order scalar tensor interaction term. We find that for a static and spherically symmetric space-time, the scalar field, if time dependent, can be non-trivial and regular thus circumventing in an interesting way no-hair arguments for gallileons. Furthermore, within this class we find a stealth Schwarzschild and a partially self-tuned de-Sitter Schwarzschild black hole, both exhibiting a non trivial and regular space and time dependent scalar. In the latter solution the bulk vacuum energy is screened from a necessarily smaller geometric effective de Sitter vacuum via an integration constant associated to the time dependent scalar field.

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