Dynamics of Hyperbolically Symmetric Fluids
We study the general properties of dissipative fluid distributions endowed with hyperbolical symmetry. Their physical properties are analyzed in detail. It is shown that the energy density is necessarily negative, and the central region cannot be attained by any fluid element. We describe this inner...
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2021-08-01
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Online Access: | https://www.mdpi.com/2073-8994/13/9/1568 |
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doaj-2b4ef8ffbe2f4bb9b8e5b604614a25f52021-09-26T01:30:40ZengMDPI AGSymmetry2073-89942021-08-01131568156810.3390/sym13091568Dynamics of Hyperbolically Symmetric FluidsLuis 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 Matemática Aplicada and Instituto Universitario de Física Fundamental y Matemáticas, Universidad de Salamanca, 37007 Salamanca, SpainWe study the general properties of dissipative fluid distributions endowed with hyperbolical symmetry. Their physical properties are analyzed in detail. It is shown that the energy density is necessarily negative, and the central region cannot be attained by any fluid element. We describe this inner region by a vacuum cavity around the center. By assuming a causal transport equation some interesting thermodynamical properties of these fluids are found. Several exact analytical solutions, which evolve in the quasi–homologous regime and satisfy the vanishing complexity factor condition, are exhibited.https://www.mdpi.com/2073-8994/13/9/1568relativistic fluidsnon-spherical sourcesinterior solutions |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Luis Herrera Alicia Di Prisco Justo Ospino |
spellingShingle |
Luis Herrera Alicia Di Prisco Justo Ospino Dynamics of Hyperbolically Symmetric Fluids Symmetry relativistic fluids non-spherical sources interior solutions |
author_facet |
Luis Herrera Alicia Di Prisco Justo Ospino |
author_sort |
Luis Herrera |
title |
Dynamics of Hyperbolically Symmetric Fluids |
title_short |
Dynamics of Hyperbolically Symmetric Fluids |
title_full |
Dynamics of Hyperbolically Symmetric Fluids |
title_fullStr |
Dynamics of Hyperbolically Symmetric Fluids |
title_full_unstemmed |
Dynamics of Hyperbolically Symmetric Fluids |
title_sort |
dynamics of hyperbolically symmetric fluids |
publisher |
MDPI AG |
series |
Symmetry |
issn |
2073-8994 |
publishDate |
2021-08-01 |
description |
We study the general properties of dissipative fluid distributions endowed with hyperbolical symmetry. Their physical properties are analyzed in detail. It is shown that the energy density is necessarily negative, and the central region cannot be attained by any fluid element. We describe this inner region by a vacuum cavity around the center. By assuming a causal transport equation some interesting thermodynamical properties of these fluids are found. Several exact analytical solutions, which evolve in the quasi–homologous regime and satisfy the vanishing complexity factor condition, are exhibited. |
topic |
relativistic fluids non-spherical sources interior solutions |
url |
https://www.mdpi.com/2073-8994/13/9/1568 |
work_keys_str_mv |
AT luisherrera dynamicsofhyperbolicallysymmetricfluids AT aliciadiprisco dynamicsofhyperbolicallysymmetricfluids AT justoospino dynamicsofhyperbolicallysymmetricfluids |
_version_ |
1716868830169399296 |