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Applications of Lie Symmetries to Higher Dimensional Gravitating Fluid
A. M. Msomi, K. S Govinder, S. D. Maharaj
We consider a radiating shear-free spherically symmetric metric in higher dimensions. Several new solutions to the Einstein's equations are found systematically using the method of…
First integrals for charged perfect fluid distributions
M. C. Kweyama, S. D. Maharaj, K. S. Govinder
We study the evolution of shear-free spherically symmetric charged fluids in general relativity. We find a new parametric class of solutions to the Einstein-Maxwell system of field…
Charged anisotropic matter with linear equation of state
S. Thirukkanesh, S. D. Maharaj
We consider the general situation of a compact relativistic body with anisotropic pressures in the presence of the electromagnetic field. The equation of state for the matter distr…
Classes of exact Einstein-Maxwell solutions
K. Komathiraj, S. D. Maharaj
We find new classes of exact solutions to the Einstein-Maxwell system of equations for a charged sphere with a particular choice of the electric field intensity and one of the grav…
Analytical models for quark stars
K. Komathiraj, S. D. Maharaj
We find two new classes of exact solutions to the Einstein-Maxwell system of equations. The matter content satisfies a linear equation of state consistent with quark matter; a part…
Generalised compact spheres in electric fields
S. D. Maharaj, K. Komathiraj
We present exact solutions to the Einstein-Maxwell system of equations in spherically symmetric gravitational fields with a specified form of the electric field intensity. The cond…