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Charged fluid to anisotropic fluid distribution in general relativity. (English) Zbl 1276.85010

Summary: A new class of well behaved anisotropic super-dense stars has been derived with the help of a given class of charged fluid distributions. The anisotropy parameter (or the electric intensity) is zero at the centre and monotonically increasing towards the pressure free interface. All the physical parameter such as energy density, radial pressure, tangential pressure and velocity of sound are monotonically decreasing towards the surface. The maximum mass measures 3.8593 solar mass and the corresponding radius is 21.2573 km for \(n=1\) i.e. \(N\) tends to infinity.

MSC:

85A15 Galactic and stellar structure
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
85A30 Hydrodynamic and hydromagnetic problems in astronomy and astrophysics
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