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RESEARCH PRODUCT
Thermodynamic class II Szekeres-Szafron solutions. Singular models
Bartolomé CollJoan Josep FerrandoJuan Antonio Sáezsubject
Thermal equilibriumPhysicsPhysics and Astronomy (miscellaneous)Spacetime010308 nuclear & particles physicsEquation of state (cosmology)FOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)01 natural sciencesIdeal gasGeneral Relativity and Quantum CosmologyInterpretation (model theory)symbols.namesakeFriedmann–Lemaître–Robertson–Walker metric0103 physical sciencesCompressibilitysymbolsLimit (mathematics)010306 general physicsMathematical physicsdescription
A family of parabolic Szekeres-Szafron class II solutions in local thermal equilibrium is studied and their associated thermodynamics are obtained. The subfamily with the hydrodynamic behavior of a generic ideal gas (defined by the equation of state $p = k n \Theta$) results to be an inhomogeneous generalization of flat FLRW $\gamma$-law models. Three significative interpretations that follow on from the choice of three specific thermodynamic schemes are analyzed in depth. First, the generic ideal gas in local thermal equilibrium; this interpretation leads to an inhomogeneous temperature $\Theta$. Second, the thermodynamics with homogeneous temperature considered by Lima and Tiomno (CQG 6 1989). And third, a new model having exactly the homogeneous temperature of the FLRW limit. It is shown that the three models above fulfill the necessary macroscopic requirements for physical reality (positivity of matter density and temperature, energy conditions and compressibility conditions) in wide domains of the spacetime.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-08-08 |