Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-10-08
Class.Quant.Grav. 16 (1999) 167-187
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
24 pages, no figures, simple LaTeX. To be published in Classical and Quantum Gravity
Scientific paper
10.1088/0264-9381/16/1/012
We derive a new class of exact solutions characterized by the Szekeres-Szafron metrics (of class I), admitting in general no isometries. The source is a fluid with viscosity but zero heat flux (adiabatic but irreversible evolution) whose equilibrium state variables satisfy the equations of state of: (a) ultra-relativistic ideal gas, (b) non-relativistic ideal gas, (c) a mixture of (a) and (b). Einstein's field equations reduce to a quadrature that is integrable in terms of elementary functions (cases (a) and (c)) and elliptic integrals (case (b)). Necessary and sufficient conditions are provided for the viscous dissipative stress and equilibrium variables to be consistent with the theoretical framework of Extended Irreversible Thermodynamics and Kinetic Theory of the Maxwell-Boltzmann and radiative gases. Energy and regularity conditions are discussed. We prove that a smooth matching can be performed along a spherical boundary with a FLRW cosmology or with a Vaidya exterior solution. Possible applications are briefly outlined.
Sussman Roberto A.
Triginer Josep
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