A family of solutions to the Einstein–Maxwell system of equations describing relativistic charged fluid spheres
@article{Komathiraj2017AFO, title={A family of solutions to the Einstein–Maxwell system of equations describing relativistic charged fluid spheres}, author={K. Komathiraj and Ranjan Sharma}, journal={Pramana}, year={2017}, volume={90}, pages={1-11} }
In this paper, we present a formalism to generate a family of interior solutions to the Einstein–Maxwell system of equations for a spherically symmetric relativistic charged fluid sphere matched to the exterior Reissner–Nordström space–time. By reducing the Einstein–Maxwell system to a recurrence relation with variable rational coefficients, we show that it is possible to obtain closed-form solutions for a specific range of model parameters. A large class of solutions obtained previously are…
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References
SHOWING 1-10 OF 50 REFERENCES
Generalized compact spheres in electric fields
- Physics, Mathematics
- 2007
We present exact solutions to the Einstein–Maxwell system of equations in spherically symmetric gravitational fields with a specified form of the electric field intensity. The condition of pressure…
Classes of exact Einstein–Maxwell solutions
- Physics, Mathematics
- 2007
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…
Regular models with quadratic equation of state
- Physics, Mathematics
- 2012
We provide new exact solutions to the Einstein–Maxwell system of equations which are physically reasonable. The spacetime is static and spherically symmetric with a charged matter distribution. We…
Relativistic stellar models
- Physics
- 2011
We obtain a class of solutions to the Einstein–Maxwell equations describing charged static spheres. Upon specifying particular forms for one of the gravitational potentials and the electric field…
A Class of Charged Relativistic Spheres
- Physics
- 2010
We find a new class of exact solutions to the Einstein-Maxwell equations which can be used to model the interior of charged relativistic objects. These solutions can be written in terms of special…
General Solution for a Class of Static Charged Spheres
- Physics
- 2001
We find a class of solutions to the Einstein–Maxwell system for a charged sphere with a particular choice of the electric field intensity by assuming a particular form for the hypersurfaces {t =…
Analytical models for quark stars
- Physics
- 2007
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…
Charged anisotropic matter with a linear equation of state
- Physics
- 2008
We consider the general situation of a compact relativistic body with anisotropic pressures in the presence of the electromagnetic field. The equation of state for the matter distribution is linear…
Some charged polytropic models
- Physics
- 2013
The Einstein–Maxwell equations with anisotropic pressures and electromagnetic field are studied with a polytropic equation of state. New exact solutions to the field equations are generated in terms…
Relativistic fluid sphere on pseudo-spheroidal space-time
- Physics
- 1998
A new exact closed form solution of Einstein's field equations is reported describing the space-time in the interior of a fluid sphere in equilibrium. The physical 3-space,t=constant of its…