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A class of charged analogues of Durgapal and Fuloria superdense star. (English) Zbl 1209.83010

Summary: A class of charged analogues of superdense star model due to M.C. Durgapal and R.S. Fuloria, is obtained by using a particular electric field, which involves a parameter K. The members of this class are seen to satisfy the various physical conditions e.g. \(c ^{2} \rho \geq 3p\geq 0, dp/dr<0, d \rho /dr < 0\), along with the velocity of sound condition \(dp/c ^{2} d \rho < 1\) and the adiabatic index \(((p+c ^{2} \rho )/p)(dp/(c ^{2} d \rho )) > 1\) for the interval \(1 < K \leq 1.73\) with the maximum mass \(3.2860 M_{\Theta}\) and the radius \(18.3990\) km.
It is interesting to note that the velocity of sound and the ratio \(p / c ^{2} \rho \) are monotonically decreasing towards the pressure free interface for \(1 < K \leq 1.10216\) which presents a relevant modelling for massive star like Neutron star or pulsar. In the interval \(1 < K \leq 1.10216\), the maximum mass and the corresponding radius are given as \(1.9672 M_{\Theta}\) and \(15.9755\) km respectively.

MSC:

83C15 Exact solutions to problems in general relativity and gravitational theory
85A15 Galactic and stellar structure
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
83C22 Einstein-Maxwell equations
Full Text: DOI

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