Classes of exact Einstein-Maxwell solutions

Abstract

We find new classes of exact solutions to the Einstein-Maxwell system of equations for a charged sphere with a particular choice of the electric field intensity and one of the gravitational potentials. The condition of pressure isotropy is reduced to a linear, second order differential equation which can be solved in general. Consequently we can find exact solutions to the Einstein-Maxwell field equations corresponding to a static spherically symmetric gravitational potential in terms of hypergeometric functions. It is possible to find exact solutions which can be written explicitly in terms of elementary functions, namely polynomials and product of polynomials and algebraic functions. Uncharged solutions are regainable with our choice of electric field intensity; in particular we generate the Einstein universe for particular parameter values.

16 pages, To appear in Gen. Relativ. Gravit

References in corpus (6)

• Static charged perfect fluid spheres in general relativity
• Charged analogue of Finch-Skea stars
• Tikekar superdense stars in electric fields
• Maximum mass of a cold compact star
• Exact models for isotropic matter
• Generating potentials via difference equations

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• Charged compact stellar model in Finch-Skea spacetime
• Relativistic Modeling of Quark Stars with Tolman IV Type Potential
• A family of solutions to the Einstein-Maxwell system of equations describing relativistic charged fluid spheres
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• Models for Quark Stars with Charged Anisotropic Matter
• Pulsar PSR B0943+10 as an isotropic Vaidya-Tikekar type compact star : A comprehensive study
• Electromagnetic and anisotropic extension of a plethora of well-known solutions describing relativistic compact objects
• Structural properties of charged compact stars with color-flavour-locked quarks matter
• Compact Object with a Local Dark Energy Shell