Exact solution of the DeWitt-Brehme-Hobbs equation in copropagating electromagnetic and gravitational waves
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912979538149376 |
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| author | Audagnotto, Giulio Di Piazza, Antonino |
| author_facet | Audagnotto, Giulio Di Piazza, Antonino |
| contents | An accelerated charge interacts with its own electromagnetic field, a phenomenon known as electromagnetic radiation reaction. The DeWitt-Brehme-Hobbs (DWBH) equation describes the motion of a charged mass in the presence of combined electromagnetic and gravitational fields, taking into account electromagnetic radiation-reaction effects. Here, we find the first exact analytical solution of the DWBH equation in the case of a charged mass in the presence of copropagating and otherwise arbitrary electromagnetic and gravitational plane waves. As a consequence of the Penrose limit, the scenario considered here can be seen as a local limit around ultrarelativistic trajectories in a general curved spacetime. Finally, the paradigmatic example of an electromagnetic wave in the presence of a constant-amplitude gravitational wave is worked out explicitly and it is shown how the presence of the gravitational wave can qualitatively change electromagnetic radiation-reaction effects. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_07052 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact solution of the DeWitt-Brehme-Hobbs equation in copropagating electromagnetic and gravitational waves Audagnotto, Giulio Di Piazza, Antonino General Relativity and Quantum Cosmology High Energy Physics - Phenomenology An accelerated charge interacts with its own electromagnetic field, a phenomenon known as electromagnetic radiation reaction. The DeWitt-Brehme-Hobbs (DWBH) equation describes the motion of a charged mass in the presence of combined electromagnetic and gravitational fields, taking into account electromagnetic radiation-reaction effects. Here, we find the first exact analytical solution of the DWBH equation in the case of a charged mass in the presence of copropagating and otherwise arbitrary electromagnetic and gravitational plane waves. As a consequence of the Penrose limit, the scenario considered here can be seen as a local limit around ultrarelativistic trajectories in a general curved spacetime. Finally, the paradigmatic example of an electromagnetic wave in the presence of a constant-amplitude gravitational wave is worked out explicitly and it is shown how the presence of the gravitational wave can qualitatively change electromagnetic radiation-reaction effects. |
| title | Exact solution of the DeWitt-Brehme-Hobbs equation in copropagating electromagnetic and gravitational waves |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.07052 |