Universal p-form black holes in generalized theories of gravity

0534199 - MÚ 2021 RIV DE eng J - Journal Article
Hervik, S. - Ortaggio, Marcello
Universal p-form black holes in generalized theories of gravity.
European Physical Journal C. Roč. 80, č. 11 (2020), č. článku 1020. ISSN 1434-6044. E-ISSN 1434-6052
R&D Projects: GA ČR(CZ) GA19-09659S
Institutional support: RVO:67985840
Keywords : black holes * modified gravity * electromagnetic fields
OECD category: Pure mathematics
Impact factor: 4.590, year: 2020
Method of publishing: Open access
https://doi.org/10.1140/epjc/s10052-020-08571-x

We explore how far one can go in constructing d-dimensional static black holes coupled to p-form and scalar fields before actually specifying the gravity and electrodynamics theory one wants to solve. At the same time, we study to what extent one can enlarge the space of black hole solutions by allowing for horizon geometries more general than spaces of constant curvature. We prove that a generalized Schwarzschild-like ansatz with an arbitrary isotropy-irreducible homogeneous base space (IHS) provides an answer to both questions, up to naturally adapting the gauge fields to the spacetime geometry. In particular, an IHS-Kähler base space enables one to construct magnetic and dyonic 2-form solutions in a large class of theories, including non-minimally couplings. We exemplify our results by constructing simple solutions to particular theories such as R2, Gauss–Bonnet and (a sector of) Einstein-Horndeski gravity coupled to certain p-form and conformally invariant electrodynamics.
Permanent Link: http://hdl.handle.net/11104/0312422