2014/03/31 by Tsutomu Kobayashi, Norihiro Tanahashi
Physics and Astronomy · #gr-qc #hep-th
paper · pdf · doi:10.1093/ptep/ptu096
10 pages. v2: Corrected an erroneous statement in the first version. Matches version accepted by PTEP
arxiv created 2014/07/01 · arxiv updated 2014/07/09
We derive a variety of exact black hole solutions in a subclass of Horndeski's scalar-tensor theory possessing shift symmetry, ϕ→ϕ+c, and reflection symmetry, ϕ→-ϕ. The theory admits two arbitrary functions of X:=-(∂ϕ)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.