Charged relativistic spheres with generalized potentials

Details Charged relativistic spheres with generalized potentials Charged relativistic spheres with generalized potentials

2009-04-05

arxiv.org/abs/0904.0781v1

Math.Methods Appl.Sci.32:684-701,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, To appear in Math. Meth. Appl. Sci

Scientific paper

10.1002/mma.1060

A new class of exact solutions of the Einstein-Maxwell system is found in closed form. This is achieved by choosing a generalised form for one of the gravitational potentials and a particular form for the electric field intensity. For specific values of the parameters it is possible to write the new series solutions in terms of elementary functions. We regain well known physically reasonable models. A physical analysis indicates that the model may be used to describe a charged sphere. The influence of the electromagnetic field on the gravitational interaction is highlighted.

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