A thermodynamic approach to the T-models

Abstract

The perfect fluid solutions admitting a group G${}_3$ of isometries acting on orbits S${}_2$ whose curvature has a gradient which is tangent to the fluid flow (T-models) are studied from a thermodynamic approach. All the admissible thermodynamic schemes are obtained, and the solutions compatible with the generic ideal gas equation of state are studied in detail. The possible physical interpretation of some previously known T-models is also analyzed.

13 pages

References in corpus (6)

• Strong curvature naked singularities in spherically symmetric perfect fluid collapse
• A hydrodynamic approach to the classical ideal gas
• Labeling spherically symmetric spacetimes with the Ricci tensor
• Thermodynamic class II Szekeres-Szafron solutions. Regular models
• Relativistic kinematic approach to the classical ideal gas
• Cosmic censorship conjecture in some matching spherical collapsing metrics

Cited by in corpus (1)

• T-model field equations: the general solution