6533b859fe1ef96bd12b812e
RESEARCH PRODUCT
Relativistic perfect fluids in local thermal equilibrium
Joan Josep FerrandoBartolomé CollJuan Antonio Sáezsubject
PhysicsThermal equilibriumClass (set theory)Physics and Astronomy (miscellaneous)010308 nuclear & particles physicsFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Characterization (mathematics)Inverse problem01 natural sciencesGeneral Relativity and Quantum CosmologyIdeal gasClassical mechanicsDifferential geometry0103 physical sciencesConversePoint (geometry)010306 general physicsdescription
Every evolution of a fluid is uniquely described by an energy tensor. But the converse is not true: an energy tensor may describe the evolution of different fluids. The problem of determining them is called here the {\em inverse problem}. This problem may admit unphysical or non-deterministic solutions. This paper is devoted to solve the inverse problem for perfect energy tensors in the class of perfect fluids evolving in local thermal equilibrium (l.t.e.). The starting point is a previous result (Coll and Ferrando in J Math Phys 30: 2918-2922, 1989) showing that thermodynamic fluids evolving in l.t.e. admit a purely hydrodynamic characterization. This characterization allows solving this inverse problem in a very compact form. The paradigmatic case of perfect energy tensors representing the evolution of ideal gases is studied in detail and some applications and examples are outlined.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-04-08 |