Gravitational Polarizability of Schwarzschild Black Holes
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866908296876654592 |
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| author | Vidal, Gabriel Dantas, Gabriel M. Sturani, Riccardo Menezes, Gabriel |
| author_facet | Vidal, Gabriel Dantas, Gabriel M. Sturani, Riccardo Menezes, Gabriel |
| contents | The linear response of a Schwarzschild black hole to an external quadrupolar perturbation is studied in analogy to a mechanical electrodynamical system, with the goal to describe the gravitational polarizability. Its causality properties imply dispersion relations that relate fluctuation and dissipative properties. We review and combine results obtained via the Regge-Wheeler equation on one side and a perturbative, worldline effective field theory description on the other, obtaining a consistent description of the dispersion relations for the gravitational polarizability of a Schwarzschild black hole. We find that the classical part of the 2-point correlation function of the black hole multipole depends on the boundary conditions of the space-time the black hole is immersed in, which is relevant for the dispersion relations considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23384 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gravitational Polarizability of Schwarzschild Black Holes Vidal, Gabriel Dantas, Gabriel M. Sturani, Riccardo Menezes, Gabriel General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory The linear response of a Schwarzschild black hole to an external quadrupolar perturbation is studied in analogy to a mechanical electrodynamical system, with the goal to describe the gravitational polarizability. Its causality properties imply dispersion relations that relate fluctuation and dissipative properties. We review and combine results obtained via the Regge-Wheeler equation on one side and a perturbative, worldline effective field theory description on the other, obtaining a consistent description of the dispersion relations for the gravitational polarizability of a Schwarzschild black hole. We find that the classical part of the 2-point correlation function of the black hole multipole depends on the boundary conditions of the space-time the black hole is immersed in, which is relevant for the dispersion relations considered. |
| title | Gravitational Polarizability of Schwarzschild Black Holes |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.23384 |