Einstein–Maxwell fields as solutions of higher-order theories
Abstract 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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-11-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10966-x |
| _version_ | 1811304523613863936 |
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| author | Marcello Ortaggio |
| author_facet | Marcello Ortaggio |
| author_sort | Marcello Ortaggio |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-04-13T08:08:45Z |
| format | Article |
| id | doaj.art-172200edc4c8427c87d285252f1e766e |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-13T08:08:45Z |
| publishDate | 2022-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-172200edc4c8427c87d285252f1e766e2022-12-22T02:55:04ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-11-01821112010.1140/epjc/s10052-022-10966-xEinstein–Maxwell fields as solutions of higher-order theoriesMarcello Ortaggio0Institute of Mathematics of the Czech Academy of SciencesAbstract 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.https://doi.org/10.1140/epjc/s10052-022-10966-x |
| spellingShingle | Marcello Ortaggio Einstein–Maxwell fields as solutions of higher-order theories European Physical Journal C: Particles and Fields |
| title | Einstein–Maxwell fields as solutions of higher-order theories |
| title_full | Einstein–Maxwell fields as solutions of higher-order theories |
| title_fullStr | Einstein–Maxwell fields as solutions of higher-order theories |
| title_full_unstemmed | Einstein–Maxwell fields as solutions of higher-order theories |
| title_short | Einstein–Maxwell fields as solutions of higher-order theories |
| title_sort | einstein maxwell fields as solutions of higher order theories |
| url | https://doi.org/10.1140/epjc/s10052-022-10966-x |
| work_keys_str_mv | AT marcelloortaggio einsteinmaxwellfieldsassolutionsofhigherordertheories |