Self-gravitating relativistic fluids: The formation of a free phase boundary in the phase transition from soft to hard
type: Item
instance of: scholarly article
title: Self-gravitating relativistic fluids: The formation of a free phase boundary in the phase transition from soft to hard
zbMATH Open document ID: 0863.76098
DOI: 10.1007/BF00379551
author: Demetrios Christodoulou
published in: Archive for Rational Mechanics and Analysis
publication date: 1996-11-12T00:00:00Z
review text: A relativistic fluid model is studied to describe a flow with two phases: a soft phase, which holds when the density of mass-energy \(\rho\) is below a certain constant \(\rho_0\) and in which the sound of speed is zero, and a hard phase, which holds when \(\rho\) is above \(\rho_0\) and in which the sound speed is equal to the speed of light. The model is of relevance in the study of the gravitational collapse of degenerate cores of massive stars, the associated supernova explosions, and the formation of neutron stars and black holes. The soft phase corresponds to homogeneous nuclear matter at supranuclear densities. The constant \(\rho_0\) corresponds to the nuclear saturation density. In the case of the spherical symmetry the model reduces to one on a two-dimensional quotient space-time manifold. A unique existence theorem is proved to solve the problem of formation of a free phase boundary in the transition from soft to hard phase.
Mathematics Subject Classification ID: 76Y05
Mathematics Subject Classification ID: 35Q75
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 944242
zbMATH Keywords: uniqueness
zbMATH Keywords: gravitational collapse of massive stars
zbMATH Keywords: density of mass-energy
zbMATH Keywords: sound of speed
zbMATH Keywords: neutron stars
zbMATH Keywords: black holes
zbMATH Keywords: homogeneous nuclear matter
zbMATH Keywords: nuclear saturation density
zbMATH Keywords: spherical symmetry
zbMATH Keywords: existence
reviewed by: V. V. Shelukhin
MaRDI profile type: Publication
cites work: Self-gravitating relativistic fluids: A two-phase model
cites work: Self-gravitating relativistic fluids:the continuation and termination of a free phase boundary.
full work available at URL: https://doi.org/10.1007/bf00379551
OpenAlex ID: W4245816080
description: scientific article; zbMATH DE number 944242