Journal
GENERAL RELATIVITY AND GRAVITATION
Volume 44, Issue 6, Pages 1419-1432Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-012-1347-2
Keywords
Relativistic charged fluids; Equations of state; Einstein-Maxwell equations
Funding
- National Research Foundation
- University of KwaZulu-Natal
- South African Research Chair Initiative of the Department of Science and Technology
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We provide new exact solutions to the Einstein-Maxwell system of equations which are physically reasonable. The spacetime is static and spherically symmetric with a charged matter distribution. We utilise an equation of state which is quadratic relating the radial pressure to the energy density. Earlier models, with linear and quadratic equations of state, are shown to be contained in our general class of solutions. The new solutions to the Einstein-Maxwell are found in terms of elementary functions. A physical analysis of the matter and electromagnetic variables indicates that the model is well behaved and regular. In particular there is no singularity in the proper charge density at the stellar centre unlike earlier anisotropic models in the presence of the electromagnetic field.
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