Expansion-Free Dissipative Fluid Spheres: Analytical Solutions

We search for exact analytical solutions of spherically symmetric dissipative fluid distributions satisfying the vanishing expansion condition (vanishing expansion scalar <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics&g...

Full description

Bibliographic Details
Main Authors: Luis Herrera, Alicia Di Prisco, Justo Ospino
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/3/754
_version_ 1797608862662000640
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 search for exact analytical solutions of spherically symmetric dissipative fluid distributions satisfying the vanishing expansion condition (vanishing expansion scalar <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">Θ</mi></semantics></math></inline-formula>). To accomplish this, we shall impose additional restrictions allowing integration of the field equations. The solutions are analyzed, and possible applications to astrophysical scenarios as well as alternative approaches to obtaining new solutions are discussed.
first_indexed 2024-03-11T05:50:27Z
format Article
id doaj.art-a150d8e554214eacab5094cd9bdc11bb
institution Directory Open Access Journal
issn 2073-8994
language English
last_indexed 2024-03-11T05:50:27Z
publishDate 2023-03-01
publisher MDPI AG
record_format Article
series Symmetry
spelling doaj.art-a150d8e554214eacab5094cd9bdc11bb2023-11-17T14:10:31ZengMDPI AGSymmetry2073-89942023-03-0115375410.3390/sym15030754Expansion-Free Dissipative Fluid Spheres: Analytical SolutionsLuis 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 e Instituto Universitario de Física Fundamental y Matemáticas, Universidad de Salamanca, 37007 Salamanca, SpainWe search for exact analytical solutions of spherically symmetric dissipative fluid distributions satisfying the vanishing expansion condition (vanishing expansion scalar <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">Θ</mi></semantics></math></inline-formula>). To accomplish this, we shall impose additional restrictions allowing integration of the field equations. The solutions are analyzed, and possible applications to astrophysical scenarios as well as alternative approaches to obtaining new solutions are discussed.https://www.mdpi.com/2073-8994/15/3/754relativistic fluidsspherical sourcesdissipative systeminterior solutions
spellingShingle Luis Herrera
Alicia Di Prisco
Justo Ospino
Expansion-Free Dissipative Fluid Spheres: Analytical Solutions
Symmetry
relativistic fluids
spherical sources
dissipative system
interior solutions
title Expansion-Free Dissipative Fluid Spheres: Analytical Solutions
title_full Expansion-Free Dissipative Fluid Spheres: Analytical Solutions
title_fullStr Expansion-Free Dissipative Fluid Spheres: Analytical Solutions
title_full_unstemmed Expansion-Free Dissipative Fluid Spheres: Analytical Solutions
title_short Expansion-Free Dissipative Fluid Spheres: Analytical Solutions
title_sort expansion free dissipative fluid spheres analytical solutions
topic relativistic fluids
spherical sources
dissipative system
interior solutions
url https://www.mdpi.com/2073-8994/15/3/754
work_keys_str_mv AT luisherrera expansionfreedissipativefluidspheresanalyticalsolutions
AT aliciadiprisco expansionfreedissipativefluidspheresanalyticalsolutions
AT justoospino expansionfreedissipativefluidspheresanalyticalsolutions