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arXiv · 1403.4364

Exact black hole solutions in shift symmetric scalar-tensor theories

Tsutomu Kobayashi·Norihiro Tanahashi
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Abstract

We derive a variety of exact black hole solutions in a subclass of Horndeski's scalar-tensor theory possessing shift symmetry, $\phi\to\phi+c$, and reflection symmetry, $\phi\to-\phi$. The theory admits two arbitrary functions of $X:=-(\partial\phi)^2/2$, and our solutions are constructed without specifying the concrete form of the two functions, implying that black hole solutions in specific scalar-tensor theories found in the literature can be extended to a more general class of theories with shift symmetry. Our solutions include a black hole in the presence of an effective cosmological constant, the Nariai spacetime, the Lifshitz black hole, and other nontrivial solutions, all of which exhibit nonconstant scalar-field profile.

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Tsutomu Kobayashi, Norihiro Tanahashi. 2014-03-18. Exact black hole solutions in shift symmetric scalar-tensor theories. https://doi.org/10.1093/ptep/ptu096

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