Matching Slowly Rotating Spacetimes Split by Dynamic Thin Shells
We investigated within the Darmois–Israel thin-shell formalism the match of neutral and asymptotically flat, slowly rotating spacetimes (up to second order in the rotation parameter) when their boundaries are dynamic. It has several important applications in general relativistic systems, such as bla...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-06-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/9/7/305 |
| _version_ | 1797587330457927680 |
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| author | Jonas P. Pereira Jorge A. Rueda |
| author_facet | Jonas P. Pereira Jorge A. Rueda |
| author_sort | Jonas P. Pereira |
| collection | DOAJ |
| description | We investigated within the Darmois–Israel thin-shell formalism the match of neutral and asymptotically flat, slowly rotating spacetimes (up to second order in the rotation parameter) when their boundaries are dynamic. It has several important applications in general relativistic systems, such as black holes and neutron stars, which we exemplify. We mostly focused on the stability aspects of slowly rotating thin shells in equilibrium and the surface degrees of freedom on the hypersurfaces splitting the matched slowly rotating spacetimes, e.g., surface energy density and surface tension. We show that the stability upon perturbations in the spherically symmetric case automatically implies stability in the slow rotation case. In addition, we show that, when matching slowly rotating Kerr spacetimes through thin shells in equilibrium, the surface degrees of freedom can decrease compared to their Schwarzschild counterparts, meaning that the energy conditions could be weakened. The frame-dragging aspects of the match of slowly rotating spacetimes are also briefly discussed. |
| first_indexed | 2024-03-11T00:35:35Z |
| format | Article |
| id | doaj.art-d013aad21bee41e38455bcacbf08760c |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-11T00:35:35Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-d013aad21bee41e38455bcacbf08760c2023-11-18T21:39:29ZengMDPI AGUniverse2218-19972023-06-019730510.3390/universe9070305Matching Slowly Rotating Spacetimes Split by Dynamic Thin ShellsJonas P. Pereira0Jorge A. Rueda1Núcleo de Astrofísica e Cosmologia (Cosmo-Ufes) & Departamento de Física, Universidade Federal do Espírito Santo, Vitória 29075-910, ES, BrazilICRA, Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro 5, I-00185 Roma, ItalyWe investigated within the Darmois–Israel thin-shell formalism the match of neutral and asymptotically flat, slowly rotating spacetimes (up to second order in the rotation parameter) when their boundaries are dynamic. It has several important applications in general relativistic systems, such as black holes and neutron stars, which we exemplify. We mostly focused on the stability aspects of slowly rotating thin shells in equilibrium and the surface degrees of freedom on the hypersurfaces splitting the matched slowly rotating spacetimes, e.g., surface energy density and surface tension. We show that the stability upon perturbations in the spherically symmetric case automatically implies stability in the slow rotation case. In addition, we show that, when matching slowly rotating Kerr spacetimes through thin shells in equilibrium, the surface degrees of freedom can decrease compared to their Schwarzschild counterparts, meaning that the energy conditions could be weakened. The frame-dragging aspects of the match of slowly rotating spacetimes are also briefly discussed.https://www.mdpi.com/2218-1997/9/7/305slow rotationneutron starsblack holesDarmois–Israel formalismsurface degrees of freedomsurface energy density |
| spellingShingle | Jonas P. Pereira Jorge A. Rueda Matching Slowly Rotating Spacetimes Split by Dynamic Thin Shells Universe slow rotation neutron stars black holes Darmois–Israel formalism surface degrees of freedom surface energy density |
| title | Matching Slowly Rotating Spacetimes Split by Dynamic Thin Shells |
| title_full | Matching Slowly Rotating Spacetimes Split by Dynamic Thin Shells |
| title_fullStr | Matching Slowly Rotating Spacetimes Split by Dynamic Thin Shells |
| title_full_unstemmed | Matching Slowly Rotating Spacetimes Split by Dynamic Thin Shells |
| title_short | Matching Slowly Rotating Spacetimes Split by Dynamic Thin Shells |
| title_sort | matching slowly rotating spacetimes split by dynamic thin shells |
| topic | slow rotation neutron stars black holes Darmois–Israel formalism surface degrees of freedom surface energy density |
| url | https://www.mdpi.com/2218-1997/9/7/305 |
| work_keys_str_mv | AT jonasppereira matchingslowlyrotatingspacetimessplitbydynamicthinshells AT jorgearueda matchingslowlyrotatingspacetimessplitbydynamicthinshells |