Hyperbolically Symmetric Versions of Lemaitre–Tolman–Bondi Spacetimes
We study fluid distributions endowed with hyperbolic symmetry, which share many common features with Lemaitre–Tolman–Bondi (LTB) solutions (e.g., they are geodesic, shearing, and nonconformally flat, and the energy density is inhomogeneous). As such, they may be considered as hyperbolic symmetric ve...
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| Format: | Article |
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MDPI AG
2021-09-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/23/9/1219 |
| _version_ | 1797519391363956736 |
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| author | Luis Herrera Alicia Di Prisco Justo Ospino |
| author_facet | Luis Herrera Alicia Di Prisco Justo Ospino |
| author_sort | Luis Herrera |
| collection | DOAJ |
| description | We study fluid distributions endowed with hyperbolic symmetry, which share many common features with Lemaitre–Tolman–Bondi (LTB) solutions (e.g., they are geodesic, shearing, and nonconformally flat, and the energy density is inhomogeneous). As such, they may be considered as hyperbolic symmetric versions of LTB, with spherical symmetry replaced by hyperbolic symmetry. We start by considering pure dust models, and afterwards, we extend our analysis to dissipative models with anisotropic pressure. In the former case, the complexity factor is necessarily nonvanishing, whereas in the latter cases, models with a vanishing complexity factor are found. The remarkable fact is that all solutions satisfying the vanishing complexity factor condition are necessarily nondissipative and satisfy the stiff equation of state. |
| first_indexed | 2024-03-10T07:42:08Z |
| format | Article |
| id | doaj.art-fbaeaddf39ae4f17b35b7c18d84672ab |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T07:42:08Z |
| publishDate | 2021-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-fbaeaddf39ae4f17b35b7c18d84672ab2023-11-22T12:58:30ZengMDPI AGEntropy1099-43002021-09-01239121910.3390/e23091219Hyperbolically Symmetric Versions of Lemaitre–Tolman–Bondi SpacetimesLuis Herrera0Alicia Di Prisco1Justo Ospino2Instituto Universitario de Física Fundamental y Matemáticas, Universidad de Salamanca, 37007 Salamanca, SpainEscuela de Física, Facultad de Ciencias, Universidad Central de Venezuela, Caracas 1050, VenezuelaDepartamento de Matemáticas Aplicada and Instituto Universitario de Física Fundamental y Matemáticas, Universidad de Salamanca, 37007 Salamanca, SpainWe study fluid distributions endowed with hyperbolic symmetry, which share many common features with Lemaitre–Tolman–Bondi (LTB) solutions (e.g., they are geodesic, shearing, and nonconformally flat, and the energy density is inhomogeneous). As such, they may be considered as hyperbolic symmetric versions of LTB, with spherical symmetry replaced by hyperbolic symmetry. We start by considering pure dust models, and afterwards, we extend our analysis to dissipative models with anisotropic pressure. In the former case, the complexity factor is necessarily nonvanishing, whereas in the latter cases, models with a vanishing complexity factor are found. The remarkable fact is that all solutions satisfying the vanishing complexity factor condition are necessarily nondissipative and satisfy the stiff equation of state.https://www.mdpi.com/1099-4300/23/9/1219LTB spacetimeshyperbolic symmetrygeneral relativitydissipative systems |
| spellingShingle | Luis Herrera Alicia Di Prisco Justo Ospino Hyperbolically Symmetric Versions of Lemaitre–Tolman–Bondi Spacetimes Entropy LTB spacetimes hyperbolic symmetry general relativity dissipative systems |
| title | Hyperbolically Symmetric Versions of Lemaitre–Tolman–Bondi Spacetimes |
| title_full | Hyperbolically Symmetric Versions of Lemaitre–Tolman–Bondi Spacetimes |
| title_fullStr | Hyperbolically Symmetric Versions of Lemaitre–Tolman–Bondi Spacetimes |
| title_full_unstemmed | Hyperbolically Symmetric Versions of Lemaitre–Tolman–Bondi Spacetimes |
| title_short | Hyperbolically Symmetric Versions of Lemaitre–Tolman–Bondi Spacetimes |
| title_sort | hyperbolically symmetric versions of lemaitre tolman bondi spacetimes |
| topic | LTB spacetimes hyperbolic symmetry general relativity dissipative systems |
| url | https://www.mdpi.com/1099-4300/23/9/1219 |
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