Asymptotically flat black holes in Horndeski theory and beyond

By E. Babichev, C. Charmousis, Antoine Leh'ebel. 2017

223 citations recorded by the source corpus.

We find spherically symmetric and static black holes in shift-symmetric Horndeski and beyond Horndeski theories. They are asymptotically flat and sourced by a non trivial static scalar field. The first class of solutions is constructed in such a way that the Noether current associated with shift symmetry vanishes, while the scalar field cannot be trivial. This in certain cases leads to hairy black hole solutions (for the quartic Horndeski Lagrangian), and in others to singular solutions (for a Gauss-Bonnet term). Additionally, we find the general spherically symmetric and static solutions for a pure quartic Lagrangian, the metric of which is Schwarzschild. We show that under two requirements on the theory in question, any vacuum GR solution is also solution to the quartic theory. As an example, we show that a Kerr black hole with a non-trivial scalar field is an exact solution to these theories.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/526dd75ec97f80995dab134f0b7ca4fe478f0c8f

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

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Citations in the corpus

Horndeski theory and beyond: a review (2019, methodology): “The same strategy was then used to derive hairy black hole solutions from more general Lagrangians in the Horndeski family [278, 279, 280], its bi-scalar extension [281], and the GLPV/DHOST theories [282, 283, 284, 285] (see [286, 287] for a review).”