The Birth of a Ghost Star

We present a model of an evolving spherically symmetric dissipative self-gravitating fluid distribution which tends asymptotically to a ghost star, meaning that the end state of such a system corresponds to a static fluid distribution with a vanishing total mass and an energy density distribution wh...

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Main Authors: Luis Herrera, Alicia Di Prisco, Justo Ospino
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/27/4/412
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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 present a model of an evolving spherically symmetric dissipative self-gravitating fluid distribution which tends asymptotically to a ghost star, meaning that the end state of such a system corresponds to a static fluid distribution with a vanishing total mass and an energy density distribution which is negative in some regions of the fluid. The model was inspired by a solution representing a fluid evolving quasi-homologously and with a vanishing complexity factor. However, in order to satisfy the asymptotic behavior mentioned above, the starting solution had to be modified, as a consequence of which the resulting model only satisfies the two previously mentioned conditions asymptotically. Additionally, a condition on the variation in the infinitesimal proper radial distance between two neighboring points per unit of proper time was imposed, which implies the presence of a cavity surrounding the center. Putting together all these conditions, we were able to obtain an analytical model depicting the emergence of a ghost star. Some potential observational consequences of this phenomenon are briefly discussed in the last section.
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spelling doaj-art-9284aa105fa040279351bd4cca5d4f6a2025-08-20T02:17:20ZengMDPI AGEntropy1099-43002025-04-0127441210.3390/e27040412The Birth of a Ghost StarLuis 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 present a model of an evolving spherically symmetric dissipative self-gravitating fluid distribution which tends asymptotically to a ghost star, meaning that the end state of such a system corresponds to a static fluid distribution with a vanishing total mass and an energy density distribution which is negative in some regions of the fluid. The model was inspired by a solution representing a fluid evolving quasi-homologously and with a vanishing complexity factor. However, in order to satisfy the asymptotic behavior mentioned above, the starting solution had to be modified, as a consequence of which the resulting model only satisfies the two previously mentioned conditions asymptotically. Additionally, a condition on the variation in the infinitesimal proper radial distance between two neighboring points per unit of proper time was imposed, which implies the presence of a cavity surrounding the center. Putting together all these conditions, we were able to obtain an analytical model depicting the emergence of a ghost star. Some potential observational consequences of this phenomenon are briefly discussed in the last section.https://www.mdpi.com/1099-4300/27/4/412relativistic fluidsinterior solutionsspherically symmetric sources
spellingShingle Luis Herrera
Alicia Di Prisco
Justo Ospino
The Birth of a Ghost Star
Entropy
relativistic fluids
interior solutions
spherically symmetric sources
title The Birth of a Ghost Star
title_full The Birth of a Ghost Star
title_fullStr The Birth of a Ghost Star
title_full_unstemmed The Birth of a Ghost Star
title_short The Birth of a Ghost Star
title_sort birth of a ghost star
topic relativistic fluids
interior solutions
spherically symmetric sources
url https://www.mdpi.com/1099-4300/27/4/412
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