Generalized compact spheres in electric fields

@article{Maharaj2007GeneralizedCS,
  title={Generalized compact spheres in electric fields},
  author={Sunil D. Maharaj and K. Komathiraj},
  journal={Classical and Quantum Gravity},
  year={2007},
  volume={24},
  pages={4513 - 4524}
}
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 isotropy yields a difference equation with variable, rational coefficients. In an earlier treatment this condition was integrated by first transforming it to a hypergeometric equation. We demonstrate that it is possible to obtain a more general class of solutions to the Einstein–Maxwell system both… 

Charged relativistic spheres with generalized potentials

A new class of exact solutions of the Einstein–Maxwell system is found in closed form. This is achieved by choosing a generalized form for one of the gravitational potentials and a particular form

A family of solutions to the Einstein–Maxwell system of equations describing relativistic charged fluid spheres

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

New charged anisotropic compact models

We find new exact solutions to the Einstein-Maxwell field equations which are relevant in the description of highly compact stellar objects. The relativistic star is charged and anisotropic with a

Some charged polytropic models

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

Generating new class of exact solutions to the Einstein–Maxwell system

For a static spherically symmetric charged distribution of matter, the Einstein–Maxwell system is solved. The solution is regular, well behaved and complies with all the requirements of a realistic

Charged isotropic model with conformal symmetry

We investigate the behaviour of a charged isotropic model with conformal symmetry. The relationship between the gravitational potentials arising from the conformal condition is used to generate a new

Electromagnetic and anisotropic extension of a plethora of well-known solutions describing relativistic compact objects

We demonstrate a technique to generate new class of exact solutions to the Einstein-Maxwell system describing a static spherically symmetric relativistic star with anisotropic matter distribution. An

Exact models of compact stars with equations of state.

We study exact solutions to the Einstein-Maxwell system of equations and relate them to compact objects. It is well known that there are substantial analytic difficulties in the modelling of

Compact models with regular charge distributions

We model a compact relativistic body with anisotropic pressures in the presence of an electric field. The equation of state is barotropic, with a linear relationship between the radial pressure and

Charged anisotropic model with embedding and a linear equation of state

Exact solutions to the Einstein field equations for charged relativistic anisotropic stars are generated. The Karmarkar condition is used with the Einstein–Maxwell field equations and a linear

References

SHOWING 1-10 OF 36 REFERENCES

Exact models for isotropic matter

We study the Einstein–Maxwell system of equations in spherically symmetric gravitational fields for static interior spacetimes. The condition for pressure isotropy is reduced to a recurrence equation

General Solution for a Class of Static Charged Spheres

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 =

Conformally symmetric static fluid spheres

Solutions of the Einstein–Maxwell equations for static spheres of charged imperfect fluids are investigated, where the space‐time geometry is assumed to admit a conformal symmetry. Previous work is

Tikekar superdense stars in electric fields

We present exact solutions to the Einstein-Maxwell system of equations with a specified form of the electric field intensity by assuming that the hypersurface {t=constant} are spheroidal. The

Static Spherically Symmetric Perfect Fluid Distribution in Presence of Electromagnetic Field

In this paper a solution corresponding to a static spherically sym- metric perfect uid distribution in presence of electromagnetic field which is a natural generalization of the well-known

Relativistic fluid sphere on pseudo-spheroidal space-time

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

A charged analogue of the Vaidya-Tikekar solution

We present here an interior solution of the Einstein-Maxwell equations for a charged static fluid sphere. The physical 3-space t = constant of the solution is spheroidal. The solution is interpreted

RELATIVISTIC SUPERDENSE STAR MODELS OF PSEUDO SPHEROIDAL SPACE–TIME

The physically viable models of compact stars like SAX (J1808.4-3658) can be obtained using Vaidya–Tikekar ansatz prescribing spheroidal geometry for their interior space–time. We discuss here the

Static charged perfect fluid spheres in general relativity

Interior perfect fluid solutions for the Reissner-Nordstrom metric are studied on the basis of a new classification scheme. General formulas are found in many cases. Explicit new global solutions are

New analytical stellar model in general relativity

A new analytical solution has been obtained for stellar models by solving Einstein's field equation for the spherically symmetric and static case. The variation of density is smooth and gradual. The