Relativistic anisotropic charged fluid spheres with varying cosmological constant

Relativistic anisotropic charged fluid spheres with varying cosmological con- stant

Static spherically symmetric anisotropic source has been studied for the EinsteinMaxwell field equations assuming the erstwhile cosmological constant Λ to be a space-variable scalar, viz., Λ = Λ(r). Two cases are examined out of which one reduces to isotropic sphere. The solutions thus obtained are shown to be electromagnetic in origin as a particular case. It is also shown that the generally u...

Solvable Models of Relativistic Charged Fluid Spheres

It is known that charged relativistic shear-free fluid spheres are described by the equation yxx = f(x)y 2 +g(x)y, where f and g are arbitrary functions of x only and y is a function of x and an external parameter t. Necessary and sufficient conditions on f and g are obtained such that this equation possesses the Painlevé property. In this case the general solution y is given in terms of soluti...

General Relativistic Static Fluid Solutions with Cosmological Constant

Spherical symmetric charged solution with cosmological constant

A spherically symmetric charged ideal fluid solution of Einstein field equation is given in the presence of the cosmological constant and two well known example of this type of solution is presented. If the matter is confined in a region, the exterior spacetime is considered as RN-de Sitter (Reissner-Nordström de Sitter) and to complete solution matching conditions are examined. We show that th...

Non–Relativistic Spacetimes with Cosmological Constant

Recent data on supernovae favor high values of the cosmological constant. Spacetimes with a cosmological constant have non–relativistic kinematics quite different from Galilean kinematics. De Sitter spacetimes, vacuum solutions of Einstein’s equations with a cosmological constant, reduce in the non–relativistic limit to Newton–Hooke spacetimes, which are non–metric homogeneous spacetimes with n...