Kinematics and dynamics of conformal collineations in relativity

DOI10.1063/1.527431zbMath0635.76132OpenAlexW2036254091WikidataQ63390751 ScholiaQ63390751MaRDI QIDQ3775266

D. P. Mason, Roy Maartens

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527431

zbMATH Keywords

conformal motionconformal collineationAnisotropic fluidsconformal collineation symmetry

Mathematics Subject Classification ID

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

Related Items (23)

Homothetic Ricci collineations of non-static spherically symmetric spacetimes with perfect fluid matter ⋮ Concircular vector fields for Kantowski–Sachs and Bianchi type-III spacetimes ⋮ Space-times admitting special affine conformal vectors ⋮ Non-static spherically symmetric spacetimes and their conformal Ricci collineations ⋮ A review on metric symmetries used in geometry and physics ⋮ Classification of Kantowski–Sachs metric via conformal Ricci collineations ⋮ On homothetic Killing vectors in stationary axisymmetric vacuum spacetimes ⋮ Conformal Ricci collineations in LRS Bianchi type V spacetimes with perfect fluid matter ⋮ Existence of conformal symmetries in locally rotationally symmetric spacetimes: Some covariant results ⋮ A new class of almost Ricci solitons and their physical interpretation ⋮ Groups of transformations of Riemannian manifolds ⋮ Static models with conformal symmetry ⋮ A new class of contact pseudo framed manifolds with applications ⋮ Relativistic fluids and metric symmetries ⋮ Topological defect solutions in the spherically symmetric space-time admitting conformal motion ⋮ CONFORMAL COLLINEATIONS AND RICCI INHERITANCE SYMMETRY IN STRING CLOUD AND STRING FLUIDS ⋮ CONFORMAL COLLINEATIONS IN STRING COSMOLOGY ⋮ Magnetized quark and strange quark matter in the spherical symmetric space-time admitting conformal motion ⋮ New class of solutions in conformally symmetric massless scalar field collapse ⋮ Conformal Ricci collineations of static space-times with maximal symmetric transverse spaces ⋮ Ricci soliton and geometrical structure in a perfect fluid spacetime with torse-forming vector field ⋮ Self-similarity in static axially symmetric relativistic fluids ⋮ Conformal geometry on a class of embedded hypersurfaces in spacetimes

Cites Work

• On certain timelike symmetry properties and the evolution of matter field space-times that admit them
• Anisotropic fluids and conformal motions in general relativity
• Conformal Killing vectors in Robertson-Walker spacetimes
• Conformally symmetric radiating spheres in general relativity
• Kinematic and dynamic properties of conformal Killing vectors in anisotropic fluids
• Conformal collineations and anisotropic fluids in general relativity
• Affine collineations in Robertson–Walker space-time

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