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arXiv · 1508.03044

Slowly rotating black hole solutions in Horndeski gravity

Andrea Maselli·Hector O. Silva·Masato Minamitsuji·Emanuele Berti
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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.

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Andrea Maselli, Hector O. Silva, Masato Minamitsuji, Emanuele Berti. 2015-11-26. Slowly rotating black hole solutions in Horndeski gravity. https://doi.org/10.1103/physrevd.92.104049

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