Regular models with quadratic equation of state
Abstract
We provide new exact solutions to the EinsteinMaxwell 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 EinsteinMaxwell 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.
 Publication:

General Relativity and Gravitation
 Pub Date:
 June 2012
 DOI:
 10.1007/s1071401213472
 arXiv:
 arXiv:1301.1418
 Bibcode:
 2012GReGr..44.1419M
 Keywords:

 Relativistic charged fluids;
 Equations of state;
 EinsteinMaxwell equations;
 General Relativity and Quantum Cosmology
 EPrint:
 14 pages, To appear in Gen. Relativ. Gravit