Spatially inhomogeneous cosmologies with heat flow

Details Spatially inhomogeneous cosmologies with heat flow Spatially inhomogeneous cosmologies with heat flow

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cqgra...3.1247g&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 3, Nov. 1, 1986, p. 1247-1263. Research supported by the California State U

Mathematics

11

Cosmology, Einstein Equations, Gravitational Fields, Heat Transmission, Potential Flow, Singularity (Mathematics), Differential Equations, Polar Coordinates, Tensors, Thermodynamic Properties

Scientific paper

A class of exact spatially inhomogeneous cosmological solutions of the Einstein field equations are derived whose source is an irrotational fluid with heat flow. The solutions can be considered as generalizations of a subclass of the Szekeres (1975) dust solutions. In the most general case the fluid has nonzero pressure and heat flow, and the cosmological constant is nonzero. The initial singularity structure and the evolution in time of a subclass of the solutions are analyzed, and the thermodynamic behavior of the models is considered. The model with heat flow is found to be incompatible with the quiescent cosmology scenario according to which the universe is evolving away from a highly regular or isotropic initial state.

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