Shear-free spherically symmetric solutions with conformal symmetry

DOI10.1007/BF00762289zbMath0715.53053WikidataQ63390743 ScholiaQ63390743MaRDI QIDQ752515

Sunil D. Maharaj, Roy Maartens, Peter G. L. Leach

Publication date: 1991

Published in: General Relativity and Gravitation (Search for Journal in Brave)

zbMATH Keywords

conformal symmetryshear-free perfect fluid spacetimes

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Applications of local differential geometry to the sciences (53B50)

Related Items

Integrability analysis of a conformal equation in relativity ⋮ Conformal symmetries in static spherically symmetric spacetimes ⋮ Expanding spherically symmetric models without shear ⋮ A first integral for a class of time-dependent anharmonic oscillators with multiple anharmonicities ⋮ What makes a shear-free spherical perfect fluid be inhomogeneous with tidal effects? ⋮ Homothetic motion in radiating and dissipative spheres ⋮ USE OF LIE SYMMETRIES AND THE PAINLEVÉ ANALYSIS IN COSMOLOGY ⋮ Relativistic shear-free fluids with symmetry ⋮ EVOLVING SPHERES OF SHEAR-FREE ANISOTROPIC FLUID ⋮ Symmetry transformations for the generalized Lane-Emden equation ⋮ Integrability analysis of the Emden-Fowler equation ⋮ Cartan symmetries and global dynamical systems analysis in a higher-order modified teleparallel theory ⋮ Semi-tetrad decomposition of spacetime with conformal symmetry

Cites Work

• A class of spherically symmetric solutions with conformal Killing vectors
• Conformally symmetric static fluid spheres
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