Einstein-Maxwell fields as solutions of higher-order theories

0564503 - MÚ 2023 RIV DE eng J - Journal Article
Ortaggio, Marcello
Einstein-Maxwell fields as solutions of higher-order theories.
European Physical Journal C. Roč. 82, č. 11 (2022), č. článku 1056. ISSN 1434-6044. E-ISSN 1434-6052
R&D Projects: GA ČR(CZ) GA19-09659S
Institutional support: RVO:67985840
Keywords : Einstein-Maxwell solutions * higher-order theories
OECD category: Pure mathematics
Impact factor: 4.4, year: 2022
Method of publishing: Open access
https://doi.org/10.1140/epjc/s10052-022-10966-x

We study four-dimensional Einstein-Maxwell fields for which any higher-order corrections to the field equations effectively reduces to just a rescaling of the gravitational and the cosmological constant. These configurations are thus simultaneous solutions of (virtually) any modified theory of gravity coupled (possibly non-minimally) to any electrodynamics. In the case of non-null electromagnetic fields we provide a full characterization of such universal solutions, which correspond to a family of gravitational waves propagating in universes of the Levi-Civita-Bertotti-Robinson type. For null fields we first obtain a set of general necessary conditions, and then a full characterization for a special subfamily, which turns out to represent electromagnetic waves accompanied by pure radiation in the (anti-)Nariai background. The results are exemplified for the case of Born-Infeld, ModMax and Horndeski electrodynamics.
Permanent Link: https://hdl.handle.net/11104/0336161