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arXiv · 1811.05369

Hairy Schwarzschild-(A)dS black hole solutions in DHOST theories beyond shift symmetry

Jibril Ben Achour·Hongguang Liu
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Abstract

We derive the general conditions for a large family of shift symmetry breaking degenerate higher order scalar-tensor (DHOST) theories to admit stealth black hole solutions. Such black hole configurations correspond to vacuum solutions of General Relativity and admit a scalar hair which does not gravitate, revealing itself only at the perturbative level. We focus our investigation on hairy Schwarzschild-(A)dS or pure Schwarzschild solutions, dressed with a linear time-dependent scalar hair, and assuming a constant kinetic term. We also discuss subclasses of this family which satisfy the observational constraint $c_{\text{grav}}=c_{\text{light}}$, as well as the recent constraint ensuring the absence of graviton decay. We provide at the end concrete examples of DHOST lagrangians satisfying our conditions. This work provides a first analysis of exact black hole solutions in shift symmetry breaking DHOST theories beyond Horndeski.

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Jibril Ben Achour, Hongguang Liu. 2019-01-25. Hairy Schwarzschild-(A)dS black hole solutions in DHOST theories beyond shift symmetry. https://doi.org/10.1103/physrevd.99.064042

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