Existence of conformal symmetries in locally rotationally symmetric spacetimes: Some covariant results

DOI10.1063/1.5080197zbMath1419.83019OpenAlexW2944694269MaRDI QIDQ5379498

Rituparno Goswami, Sayuri Singh, Sunil D. Maharaj

Publication date: 12 June 2019

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

Full work available at URL: https://doi.org/10.1063/1.5080197

zbMATH Keywords

heat fluxKilling vectorconformal symmetrieslocally rotationally symmetric spacetimes: some covariant resultsnull Killing horizon

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Applications of differential geometry to physics (53Z05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Classical and relativistic thermodynamics (80A10) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (4)

Geometry of conformally symmetric generalized Vaidya spacetimes ⋮ Conformal symmetries in generalised Vaidya spacetimes ⋮ Semi-tetrad decomposition of spacetime with conformal symmetry ⋮ Conformal geometry on a class of embedded hypersurfaces in spacetimes

Cites Work

• Relativistic shear-free fluids with symmetry
• Conformal symmetries of spherical spacetimes
• Conformal symmetries in static spherically symmetric spacetimes
• Conformal Killing Vectors in LRS Bianchi Type V Spacetimes
• Spacetimes admitting inheriting conformal Killing vector fields
• Kinematic and dynamic properties of conformal Killing vectors in anisotropic fluids
• Kinematics and dynamics of conformal collineations in relativity
• Covariant perturbations of Schwarzschild black holes
• Static models with conformal symmetry
• Scalar field and electromagnetic perturbations on locally rotationally symmetric spacetimes
• General solution and classification of conformal motions in static spherical spacetimes
• Conformal motions in static spherical spacetimes
• The covariant approach to LRS perfect fluid spacetime geometries

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