Conformally symmetric static fluid spheres
- 1 January 1990
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 31 (1) , 151-155
- https://doi.org/10.1063/1.528853
Abstract
Solutions of the Einstein–Maxwell equations for static spheres of charged imperfect fluids are investigated, where the space‐time geometry is assumed to admit a conformal symmetry. Previous work is generalized by considering a nonstatic conformal symmetry. This allows the possibility of solutions that are nonsingular at the center, unlike the previous solutions based on a static conformal symmetry. Two such regular solutions are presented for charged spheres. The further generalization necessary to find stable exact stellar models with a conformal symmetry is indicated.Keywords
This publication has 8 references indexed in Scilit:
- Anisotropic spheres with uniform energy density in general relativityGeneral Relativity and Gravitation, 1989
- Weyl curvature tensor in static spherical sourcesPhysical Review D, 1988
- New analytical models for anisotropic spheres in general relativityJournal of Mathematical Physics, 1987
- Kinematic and dynamic properties of conformal Killing vectors in anisotropic fluidsJournal of Mathematical Physics, 1986
- Collision-free gases in static space-timesJournal of Mathematical Physics, 1986
- Isotropic and anisotropic charged spheres admitting a one-parameter group of conformal motionsJournal of Mathematical Physics, 1985
- Anisotropic fluids and conformal motions in general relativityJournal of Mathematical Physics, 1984
- The expansion of the UniverseMonthly Notices of the Royal Astronomical Society, 1978