Mimicking Wormholes in Born–Infeld Electrodynamics
We compute the evolution of linear perturbations on top of a background solution of a general nonlinear electromagnetic theory. This evolution can be described in terms of two effective metrics, and we analyze under what conditions they are conformally related so that they can be regarded as analog...
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MDPI AG
2024-12-01
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| author | Jose Beltrán Jiménez Luis J. Garay María Pérez Garrote |
| author_facet | Jose Beltrán Jiménez Luis J. Garay María Pérez Garrote |
| author_sort | Jose Beltrán Jiménez |
| collection | DOAJ |
| description | We compute the evolution of linear perturbations on top of a background solution of a general nonlinear electromagnetic theory. This evolution can be described in terms of two effective metrics, and we analyze under what conditions they are conformally related so that they can be regarded as analog models of non-trivial gravitational fields in the eikonal approximation. This is the case in Born–Infeld theory. For the background created by a static point electric charge in the Born–Infeld theory, the effective metric describes a wormhole geometry for light rays. Depending on the impact parameter, incoming light rays are either scattered to infinity or approach the wormhole slowing down their pace until they hit the charge at vanishing speed. The same effective wormhole geometry is obtained for a magnetic monopole and a dyon and we relate it to the duality invariance of Born–Infeld electromagnetism. Finally, we analyze the scalar Dirac–Born–Infeld theory and show that the effective wormhole geometry is not generated by a particle with scalar charge. |
| format | Article |
| id | doaj-art-1efe2cd58ada4de0bfb1a2de23a7216f |
| institution | OA Journals |
| issn | 2218-1997 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj-art-1efe2cd58ada4de0bfb1a2de23a7216f2025-08-20T02:01:14ZengMDPI AGUniverse2218-19972024-12-01101245910.3390/universe10120459Mimicking Wormholes in Born–Infeld ElectrodynamicsJose Beltrán Jiménez0Luis J. Garay1María Pérez Garrote2Departamento de Física Fundamental and IUFFyM, Universidad de Salamanca, 37008 Salamanca, SpainDepartamento de Física Teórica and IPARCOS, Universidad Complutense de Madrid, 28040 Madrid, SpainDepartamento de Física Fundamental and IUFFyM, Universidad de Salamanca, 37008 Salamanca, SpainWe compute the evolution of linear perturbations on top of a background solution of a general nonlinear electromagnetic theory. This evolution can be described in terms of two effective metrics, and we analyze under what conditions they are conformally related so that they can be regarded as analog models of non-trivial gravitational fields in the eikonal approximation. This is the case in Born–Infeld theory. For the background created by a static point electric charge in the Born–Infeld theory, the effective metric describes a wormhole geometry for light rays. Depending on the impact parameter, incoming light rays are either scattered to infinity or approach the wormhole slowing down their pace until they hit the charge at vanishing speed. The same effective wormhole geometry is obtained for a magnetic monopole and a dyon and we relate it to the duality invariance of Born–Infeld electromagnetism. Finally, we analyze the scalar Dirac–Born–Infeld theory and show that the effective wormhole geometry is not generated by a particle with scalar charge.https://www.mdpi.com/2218-1997/10/12/459nonlinear electrodynamicseffective metricsBorn–Infeld theorywormhole geometry |
| spellingShingle | Jose Beltrán Jiménez Luis J. Garay María Pérez Garrote Mimicking Wormholes in Born–Infeld Electrodynamics Universe nonlinear electrodynamics effective metrics Born–Infeld theory wormhole geometry |
| title | Mimicking Wormholes in Born–Infeld Electrodynamics |
| title_full | Mimicking Wormholes in Born–Infeld Electrodynamics |
| title_fullStr | Mimicking Wormholes in Born–Infeld Electrodynamics |
| title_full_unstemmed | Mimicking Wormholes in Born–Infeld Electrodynamics |
| title_short | Mimicking Wormholes in Born–Infeld Electrodynamics |
| title_sort | mimicking wormholes in born infeld electrodynamics |
| topic | nonlinear electrodynamics effective metrics Born–Infeld theory wormhole geometry |
| url | https://www.mdpi.com/2218-1997/10/12/459 |
| work_keys_str_mv | AT josebeltranjimenez mimickingwormholesinborninfeldelectrodynamics AT luisjgaray mimickingwormholesinborninfeldelectrodynamics AT mariaperezgarrote mimickingwormholesinborninfeldelectrodynamics |