Abstract
We obtain new solutions of Einsteinian cubic gravity coupled to a Maxwell field that describe the near-horizon geometry of charged and rotating black holes. We show that the near-horizon geometry of Reissner-Nordström black holes receives no corrections, but deviations with respect to the extremal Kerr-Newman solution appear as we turn on the angular momentum. We construct the profile of these corrected geometries using both numerical methods and slowly spinning expansions, but we also find additional solutions that do not reduce to geometries in any limit and that do not have a counterpart in Einstein gravity. Quite remarkably, we are able to obtain closed-form exact expressions for the area and Wald’s entropy of all of these solutions, and using this result, we analyze the phase space of extremal back holes in this theory. To the best of our knowledge, this is the first time the entropy of a rotating black hole in higher-order gravity has been exactly computed.
1 More- Received 4 November 2019
- Accepted 8 January 2020
DOI:https://doi.org/10.1103/PhysRevD.101.044016
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society