New models for quark stars with charge and anisotropy.
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Date
2014
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Abstract
We find new classes of exact solutions for the Einstein-Maxwell field equations. The
solutions are obtained by considering charged anisotropic matter with a linear equation
of state consistent with quark stars. The field equations are integrated by specifying
forms for the measure of anisotropy and one of the gravitational potentials which are
physically reasonable. A general feature of our models is that isotropic pressures are
regained when certain parameters vanish; this behaviour is missing in most previous
treatments. Particular models found in our results generalize the models of Mak and
Harko, Komathiraj and Maharaj, Misner and Zapolsky, and the earlier results of Einstein.
The graphical and physical analyses indicate that the gravitational potentials,
the matter variables, the electric field and the mass are well behaved. In performing
physical analysis we regain masses and radii of stellar objects consistent with observations.
It is also shown that other masses and radii may be generated which are in
acceptable ranges consistent with observed values of stellar objects. In particular we
have established that our model is consistent with the stellar object SAXJ1808.4-3658.
A study of the mass-radius relation indicates the effect of the electromagnetic field and
anisotropy on the mass of the relativistic star.
Description
Ph. D. University of KwaZulu-Natal, Durban 2014.
Keywords
Einstein field equations., Quarks., Quark models., Theses--Applied mathematics.