On Einstein–Born–Infeld conformally invariant theory
Abstract A new Weyl Born Infeld model is presented. It takes as basis the formalism for the mathematical description of conformal gravity based on the local twistor geometry from Merkulov (Class Quantum Gravity 1:349–354, 1984). As in the pure Maxwell case, the electromagnetic field can be naturally...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11341-0 |
| _version_ | 1797836282831831040 |
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| author | Diego Julio Cirilo-Lombardo |
| author_facet | Diego Julio Cirilo-Lombardo |
| author_sort | Diego Julio Cirilo-Lombardo |
| collection | DOAJ |
| description | Abstract A new Weyl Born Infeld model is presented. It takes as basis the formalism for the mathematical description of conformal gravity based on the local twistor geometry from Merkulov (Class Quantum Gravity 1:349–354, 1984). As in the pure Maxwell case, the electromagnetic field can be naturally incorporated into this scheme by a modification of the local twistor parallel transport law. The dynamical equations of the linear case, namely the Bach equations for gravity and the Maxwell equations for the electromagnetic field, can not be obtained by varying a single quantity-the modified twistor connection, unless a geometric condition on a particular function of the invariants is imposed. When that condition is met, the Weyl–Maxwel gravity system are contained in the obtained set. The invariance under standard dualities and other generalized maps are briefly discussed. |
| first_indexed | 2024-04-09T15:07:26Z |
| format | Article |
| id | doaj.art-6649235cdaa2442a9b0d67bc858a83de |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-09T15:07:26Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-6649235cdaa2442a9b0d67bc858a83de2023-04-30T11:25:47ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-03-018331510.1140/epjc/s10052-023-11341-0On Einstein–Born–Infeld conformally invariant theoryDiego Julio Cirilo-Lombardo0Federal Research Center, Institute of Applied Mathematics, M. V. Keldysh Institute of the Russian Academy of SciencesAbstract A new Weyl Born Infeld model is presented. It takes as basis the formalism for the mathematical description of conformal gravity based on the local twistor geometry from Merkulov (Class Quantum Gravity 1:349–354, 1984). As in the pure Maxwell case, the electromagnetic field can be naturally incorporated into this scheme by a modification of the local twistor parallel transport law. The dynamical equations of the linear case, namely the Bach equations for gravity and the Maxwell equations for the electromagnetic field, can not be obtained by varying a single quantity-the modified twistor connection, unless a geometric condition on a particular function of the invariants is imposed. When that condition is met, the Weyl–Maxwel gravity system are contained in the obtained set. The invariance under standard dualities and other generalized maps are briefly discussed.https://doi.org/10.1140/epjc/s10052-023-11341-0 |
| spellingShingle | Diego Julio Cirilo-Lombardo On Einstein–Born–Infeld conformally invariant theory European Physical Journal C: Particles and Fields |
| title | On Einstein–Born–Infeld conformally invariant theory |
| title_full | On Einstein–Born–Infeld conformally invariant theory |
| title_fullStr | On Einstein–Born–Infeld conformally invariant theory |
| title_full_unstemmed | On Einstein–Born–Infeld conformally invariant theory |
| title_short | On Einstein–Born–Infeld conformally invariant theory |
| title_sort | on einstein born infeld conformally invariant theory |
| url | https://doi.org/10.1140/epjc/s10052-023-11341-0 |
| work_keys_str_mv | AT diegojuliocirilolombardo oneinsteinborninfeldconformallyinvarianttheory |