Intrinsic, deductive, explicit, and algorithmic characterization of the Szekeres-Szafron solutions

Ferrando, Joan Josep; Sáez, Juan Antonio

doi:10.1103/physrevd.97.044026

Cited by 19 publications

(29 citation statements)

References 51 publications

(131 reference statements)

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“…Nevertheless, if a class I Szekeres-Szafron metric admits a thermodynamic scheme then, necessarily, it admits symmetries [20]. The latter result has recently been recovered in [9].…”

Section: Introductionmentioning

confidence: 88%

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Thermodynamic class II Szekeres–Szafron solutions. Singular models

Coll

Ferrando

Sáez

2019

Class. Quantum Grav.

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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 = knΘ) results to be an inhomogeneous generalization of flat FLRW γ-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 Θ. 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.

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“…Nevertheless, if a class I Szekeres-Szafron metric admits a thermodynamic scheme then, necessarily, it admits symmetries [20]. The latter result has recently been recovered in [9].…”

Section: Introductionmentioning

confidence: 88%

“…We have thenρ = 0 andṗ = 0. For the SS metrics the hydrodynamic sonic condition (13) admits an equivalent and simpler expression [9]:…”

Section: Thermodynamic Constraints For Class II Szekeres-szafron Metricsmentioning

confidence: 99%

Thermodynamic class II Szekeres–Szafron solutions. Singular models

Coll

Ferrando

Sáez

2019

Class. Quantum Grav.

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“…Then T represents the evolution in l.t.e. of any CIG, and the specific internal energy ǫ, the matter density n, the specific entropy s and the speed of sound c s are given by (15), (16) and (17).…”

Section: Classical Ideal Gas: Hydrodynamic Approachmentioning

confidence: 99%

Relativistic kinematic approach to the classical ideal gas

Ferrando

Sáez

2019

Class. Quantum Grav.

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The necessary and sufficient conditions for a unit time-like vector field to be the unit velocity of a classical ideal gas are obtained. In a recent paper [Coll, Ferrando and Sáez, Phys. Rev D 99 (2019)] we have offered a purely hydrodynamic description of a classical ideal gas. Here we take one more step in reducing the number of variables necessary to characterize these media by showing that a plainly kinematic description can be obtained. We apply the results to obtain test solutions to the hydrodynamic equation that model the evolution in local thermal equilibrium of a classical ideal gas. PACS numbers: 04.20.-q, 04.20.Jb D(u, ρ, p) = 0 .This means that (2) is a consequence of (1), and conversely, for any solution {u, ρ, p} of (2), a solution {u, ρ, p, n, ǫ, s, Θ} of (1) exists. In other words, (2) is the integrability condition for the system (1) to admit a solution {n, ǫ, s, Θ}.

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“…The Szekeres-Szafron solutions of class II [6,7,[25][26][27] are a generalization without symmetries of the T-models. A thermodynamic analysis of these solutions shows [23] that three subfamilies in local thermal equilibrium can be considered: the singular models, the regular models and the T-models.…”

Section: Discussionmentioning

confidence: 99%

T-model field equations: the general solution

Ferrando,

Mengual

2021

Preprint

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Intrinsic, deductive, explicit, and algorithmic characterization of the Szekeres-Szafron solutions

Cited by 19 publications

References 51 publications

Thermodynamic class II Szekeres–Szafron solutions. Singular models

Thermodynamic class II Szekeres–Szafron solutions. Singular models

Relativistic kinematic approach to the classical ideal gas

T-model field equations: the general solution

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