Slowly rotating black hole solutions in Horndeski gravity
General Relativity and Quantum Cosmology
2015-12-02 v4 Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
We study black hole solutions at first order in the Hartle-Thorne slow-rotation approximation in Horndeski gravity theories. We derive the equations of motion including also cases where the scalar depends linearly on time. In the Hartle-Thorne formalism, all first-order rotational corrections are described by a single frame-dragging function. We show that the frame-dragging function is exactly the same as in general relativity for all known black hole solutions in shift symmetric Horndeski theories, with the exception of theories with a linear coupling to the Gauss-Bonnet invariant. Our results extend previous no-hair theorems for a broad class of Horndeski gravity theories.
Cite
@article{arxiv.1508.03044,
title = {Slowly rotating black hole solutions in Horndeski gravity},
author = {Andrea Maselli and Hector O. Silva and Masato Minamitsuji and Emanuele Berti},
journal= {arXiv preprint arXiv:1508.03044},
year = {2015}
}
Comments
Fixed more typos found in proof. Matches version published in PRD