Regularized Conformal Electrodynamics: Novel C-metric in (2+1) Dimensions
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| Format: | Preprint |
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2024
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| _version_ | 1866916217672957952 |
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| author | Kubiznak, David Svítek, Otakar Tahamtan, Tayebeh |
| author_facet | Kubiznak, David Svítek, Otakar Tahamtan, Tayebeh |
| contents | Conformal electrodynamics is a particularly interesting example of power Maxwell non-linear electrodynamics, designed to possess conformal symmetry in all dimensions. In this paper, we propose a regularized version of Conformal electrodynamics, minimally regularizing the field of a point charge at the origin by breaking the conformal invariance of the theory with a dimensionfull "Born-Infeld-like" parameter. In four dimensions the new theory reduces to the recently studied Regularized Maxwell electrodynamics, distinguished by its "Maxwell-like" solutions for accelerated and slowly rotating black hole spacetimes. Focusing on three dimensions, we show that the new theory shares many of the properties of its four-dimensional cousin, including the existence of the charged C-metric solution (currently unknown in the Maxwell theory). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14335 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularized Conformal Electrodynamics: Novel C-metric in (2+1) Dimensions Kubiznak, David Svítek, Otakar Tahamtan, Tayebeh General Relativity and Quantum Cosmology High Energy Physics - Theory Conformal electrodynamics is a particularly interesting example of power Maxwell non-linear electrodynamics, designed to possess conformal symmetry in all dimensions. In this paper, we propose a regularized version of Conformal electrodynamics, minimally regularizing the field of a point charge at the origin by breaking the conformal invariance of the theory with a dimensionfull "Born-Infeld-like" parameter. In four dimensions the new theory reduces to the recently studied Regularized Maxwell electrodynamics, distinguished by its "Maxwell-like" solutions for accelerated and slowly rotating black hole spacetimes. Focusing on three dimensions, we show that the new theory shares many of the properties of its four-dimensional cousin, including the existence of the charged C-metric solution (currently unknown in the Maxwell theory). |
| title | Regularized Conformal Electrodynamics: Novel C-metric in (2+1) Dimensions |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.14335 |