0000000000293474

AUTHOR

Salvador Mengual

showing 3 related works from this author

Obtaining the multiple Debever null directions

2021

The explicit expression of the multiple Debever null directions of an algebraically special spacetime are obtained in terms of the electric and magnetic parts of the Weyl tensor. An algorithm for the determination of the Petrov-Bel type and the algorithm to obtain the multiple Debever null directions are implemented on the xAct Mathematica suite of packages. The corresponding notebooks with examples are provided and explained.

General Relativity and Quantum CosmologyFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)General Relativity and Quantum Cosmology
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A thermodynamic approach to the T-models

2021

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.

PhysicsGroup (mathematics)Fluid dynamicsTangentFOS: Physical sciencesPerfect fluidGeneral Relativity and Quantum Cosmology (gr-qc)CurvatureGeneral Relativity and Quantum CosmologyMathematical physicsInterpretation (model theory)
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T-model field equations: the general solution

2021

We analyze the field equations for the perfect fluid solutions admitting a group G$_3$ of isometries acting on orbits S$_2$ whose curvature has a gradient that is tangent to the fluid flow (T-models). We propose several methods to integrate the field equations and we present the general solution without the need to calculate any integral.

PhysicsPhysics::Fluid DynamicsGroup (mathematics)Mathematical analysisFluid dynamicsTangentFOS: Physical sciencesT-modelPerfect fluidGeneral Relativity and Quantum Cosmology (gr-qc)CurvatureField equationGeneral Relativity and Quantum Cosmology
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