Thermodynamic perfect fluid spheres admitting an orthogonal flat synchronization

Abstract

We analyze the interpretation of the spherically symmetric perfect fluid solutions that admit a flat synchronization orthogonal to the fluid flow as a thermodynamic perfect fluid in local thermal equilibrium. The ideal gas sonic condition is examined for this family of metrics, and the macroscopic conditions for physical reality are accurately tested for some specific solutions.

arXiv comment14 pages, 2 figures

References in corpus (23)

• Large Scale Inhomogeneity Versus Source Evolution -- Can We Distinguish Them Observationally?
• Is dark energy the only solution to the apparent acceleration of the present universe?
• A (giant) void is not mandatory to explain away dark energy with a Lemaitre - Tolman model
• Formation of a galaxy with a central black hole in the Lemaitre-Tolman model
• Strong curvature naked singularities in spherically symmetric perfect fluid collapse
• Imitating accelerated expansion of the Universe by matter inhomogeneities - corrections of some misunderstandings
• Spherically Symmetric Gravitational Collapse of General Fluids
• Accelerating expansion or inhomogeneity? A comparison of the $\Lambda$CDM and Lema\^ıtre - Tolman models
• Local thermal equilibrium and ideal gas Stephani universes
• Exact inhomogeneous cosmologies whose source is a radiation-matter mixture with consistent thermodynamics
• Intrinsic, deductive, explicit, and algorithmic characterization of the Szekeres-Szafron solutions
• Ideal gas sources for the Lemaitre-Tolman-Bondi metrics
• Relativistic perfect fluids in local thermal equilibrium
• Thermodynamic class II Szekeres-Szafron solutions. Singular models
• A hydrodynamic approach to the classical ideal gas
• On the relativistic compressibility conditions
• Accelerating expansion or inhomogeneity? Part 2: Mimicking acceleration with the energy function in the Lema\^ıtre-Tolman model
• Thermodynamic class II Szekeres-Szafron solutions. Regular models
• Pressure in Lemaître-Tolman-Bondi solutions and cosmologies
• Relativistic kinematic approach to the classical ideal gas
• A thermodynamic approach to the T-models
• T-model field equations: the general solution
• Cosmic censorship conjecture in some matching spherical collapsing metrics

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