Analytical models for quark stars

Abstract

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 particular form of one of the gravitational potentials is specified to generate solutions. The exact solutions can be written in terms of elementary functions, and these can be related to quark matter in the presence of an electromagnetic field. The first class of solutions generalises the Mak and Harko model. The second class of solutions does not admit any singularities in the matter and gravitational potentials at the centre.

10 pages, To appear in Int. J. Mod. Phys. D

References in corpus (13)

• Color superconducting quark matter
• Strange Stars with Realistic Quark Vector Interaction and Phenomenological Density-dependent Scalar Potential
• Quark stars admitting a one-parameter group of conformal motions
• Is SAX J1808.4-3658 a Strange Star ?
• A class of relativistic stars with a linear equation of state
• Electric fields at the quark surface of strange stars in the color-flavor locked phase
• Towards a Mass and Radius Determination of the Nearby Isolated Neutron Star RX J185635-3754
• Is RX J185635-375 a Quark Star?
• Restricting quark matter models by gravitational wave observation
• PSR 0943+10: a bare strange star?
• On the nature of the compact star in 4U 1728-34
• Collapsing strange quark matter in Vaidya geometry
• Rigidly Rotating Strange Quark Star

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