1999
DOI: 10.1103/physrevd.60.104023
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Exact inhomogeneous cosmologies whose source is a radiation-matter mixture with consistent thermodynamics

Abstract: We derive a new class of exact solutions of Einstein's equations providing a physically plausible hydrodynamical description of cosmological matter in the radiative era, between nucleosynthesis and decoupling. The solutions are characterized by the Lemaître-Tolman-Bondi metric with a viscous fluid source, subjected to the following conditions: ͑a͒ the equilibrium state variables satisfy the equation of state of a mixture of an ultrarelativistic and a nonrelativistic ideal gases, where the internal energy of th… Show more

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Cited by 20 publications
(51 citation statements)
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“…This case is interesting as it corresponds to the generalisation of the classic LTB model [31,39] as well as to the Sussman and Pavon [18,40] example we will use later. The major difference from the general case is the absence of Hessian trace, 1 α D a D a α, and traceless Hessian, ǫ, in the equations (III.47), (III.48) and (III.49).…”
Section: Dynamical System Restricted To Geodesic Flowmentioning
confidence: 99%
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“…This case is interesting as it corresponds to the generalisation of the classic LTB model [31,39] as well as to the Sussman and Pavon [18,40] example we will use later. The major difference from the general case is the absence of Hessian trace, 1 α D a D a α, and traceless Hessian, ǫ, in the equations (III.47), (III.48) and (III.49).…”
Section: Dynamical System Restricted To Geodesic Flowmentioning
confidence: 99%
“…To illustrate our results we turn our attention to an exact solution derived by Sussman and Pavón for a spherically symmetric model with a matter content consisting of a combination of dust and radiation that exhibits anisotropic stress, but no heat fluxes and Λ = 0 [18].…”
Section: A Sussman-pavón Exact Solution: Radiation and Mattermentioning
confidence: 99%
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“…Given Eqn. (8) it is interesting to relate the condition (4) to the Hamiltonian constraint that generalizes the Friedman equation…”
mentioning
confidence: 99%