Ricci collineation vectors in fluid space-times

DOI10.1063/1.528668zbMath0708.76150OpenAlexW1963819353MaRDI QIDQ3491272

D. P. Mason, Michael Tsamparlis

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528668

zbMATH Keywords

perfect fluid space-timefluid space-timesRicci collineation vector

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (17)

Ricci collineations for type \(B\) warped space-times ⋮ Ricci collineations of static spherically symmetric spacetimes ⋮ Collineations of Godel-type space-times ⋮ Curvature inheritance symmetry in Riemannian spaces with applications to fluid space times ⋮ Classification of locally rotationally symmetric Bianchi-I space-times using conformal Ricci collineations ⋮ Symmetries of spacetimes embedded with an electromagnetic string fluid ⋮ Some characterizations of Lorentzian manifolds ⋮ Homothetic Ricci collineations in non-static plane symmetric spacetimes with perfect fluid matter ⋮ Incorporation of space–time symmetries in Einstein’s field equations ⋮ Checking collineation vectors with REDUCE ⋮ General symmetries of a string fluid space-time ⋮ Symmetry inheritance of conformal Killing vectors ⋮ Conformal collineations of the Ricci and energy-momentum tensors in static plane symmetric space-times ⋮ TIMELIKE AND SPACELIKE RICCI COLLONEATION VECTORS IN STRING COSMOLOGY ⋮ ON THE DEFINITION OF MATTER COLLINEATIONS ⋮ Irreducible decomposition of Einstein's equations in spacetimes with symmetries ⋮ Symmetry inheritance in Riemannian manifolds with physical applications

Cites Work

• On certain timelike symmetry properties and the evolution of matter field space-times that admit them
• Conservation laws in general relativity based upon the existence of preferred collineations
• The general theory of space-like congruences with an application to vorticity in relativistic hydrodynamics
• On spacelike congruences in general relativity
• Anisotropic fluids and conformal motions in general relativity
• Spacelike conformal Killing vectors and spacelike congruences
• Kinematic and dynamic properties of conformal Killing vectors in anisotropic fluids

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