On the relativistic compressibility conditions
General Relativity and Quantum Cosmology
2020-04-01 v1
Abstract
The constraints imposed by the relativistic compressibility hypothesis on the square of the speed of sound in a medium are obtained. This result allows to obtain purely hydrodynamic conditions for the physical reality of a perfect energy tensor representing the energetic evolution of a perfect fluid in local thermal equilibrium. The results are applied to the paradigmatic case of the generic ideal gases. Then the physical reality of the ideal gas Stephani models is analyzed and the Rainich-like theory for ideal gas solutions is built.
Cite
@article{arxiv.1812.04383,
title = {On the relativistic compressibility conditions},
author = {Bartolomé Coll and Joan Josep Ferrando and Juan Antonio Sáez},
journal= {arXiv preprint arXiv:1812.04383},
year = {2020}
}
Comments
21 pages, no figures, submitted to General Relativity and Gravitation