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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2405.11060 |
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| _version_ | 1866910452680753152 |
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| author | Gutiérrez-Piñeres, Antonio C. Quevedo, Hernando |
| author_facet | Gutiérrez-Piñeres, Antonio C. Quevedo, Hernando |
| contents | The $C^3$ approach is an invariant formalism that utilizes the eigenvalues of the Riemann curvature tensor to match spacetimes across a specific matching surface. We apply this approach to match an anisotropic fluid with an exterior vacuum solution, including the case in which discontinuities appear on the matching surface. As a particular example, a class of analytic solutions, which describe the gravitational field of realistic neutron stars, is matched to the exterior Schwarzschild spacetime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11060 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $C^3$ matching conditions for anisotropic fluids Gutiérrez-Piñeres, Antonio C. Quevedo, Hernando General Relativity and Quantum Cosmology The $C^3$ approach is an invariant formalism that utilizes the eigenvalues of the Riemann curvature tensor to match spacetimes across a specific matching surface. We apply this approach to match an anisotropic fluid with an exterior vacuum solution, including the case in which discontinuities appear on the matching surface. As a particular example, a class of analytic solutions, which describe the gravitational field of realistic neutron stars, is matched to the exterior Schwarzschild spacetime. |
| title | $C^3$ matching conditions for anisotropic fluids |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2405.11060 |