Hydrodynamic approach to the Synge gas
Salvador Mengual, Joan Josep Ferrando, Juan Antonio S\'aez
TL;DR
This paper derives conditions for a perfect energy tensor to model a relativistic Synge gas, develops a Rainich-like theory for Einstein-Synge solutions, and analyzes equations of state across temperature regimes from a hydrodynamic perspective.
Contribution
It provides the necessary and sufficient conditions for modeling a Synge gas with a perfect energy tensor and constructs a Rainich-like theory for Einstein-Synge solutions.
Findings
Conditions for perfect energy tensor to describe Synge gas
Hydrodynamic analysis of equations of state at various temperatures
Development of a Rainich-like theory for Einstein-Synge solutions
Abstract
The necessary and sufficient conditions for a perfect energy tensor to describe the energy evolutions of a monoatomic relativistic Synge gas are obtained. Then, a Rainich-like theory for the Einstein-Synge solutions can be constructed. Equations of state approximating that of a Synge gas at low or at high temperatures, or in the entire domain of applicability, are analyzed from a hydrodynamic point of view.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Quantum, superfluid, helium dynamics