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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Main Authors: Luis Herrera, Alicia Di Prisco, Justo Ospino
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/9/1568
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spelling 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
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