Nonsingular charged analogues of Schwarzschild's interior solution

Details Nonsingular charged analogues of Schwarzschild's interior solution Nonsingular charged analogues of Schwarzschild's interior solution

Oct 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008ap%26ss.317..251b&link_type=abstract

Astrophysics and Space Science, Volume 317, Issue 3-4, pp. 251-260

Astronomy and Astrophysics

Astrophysics

11

Schwarzschild&Rsquo, S Interior Solution, General Relativity

Scientific paper

The problem of finding nonsingular charged analogue of Schwarzschild’s interior solutions has been reduced to that of finding a monotonically decreasing function f. The models are discussed in generality by imposing reality condition on f. It is shown that the physical solutions are possible only for surface density to central density ratio greater than or equal to 2/3 i.e. ρa/ρ0ge2/3 . The unphysical nature of solutions with linear equation state has been proved. A generalization procedure has been utilized to generalize solutions by Guilfoyle (1999). Recently found solutions by Gupta and Kumar (2005a, 2005b, 2005c) are generalized by taking particular form of f and seen to have higher mass and more stable. The maximum mass is found to be 1.59482 M Θ . The models have been found to be stable once the physical requirements are established due to mass to radius less than 4/9, total charge to total mass ratio less than 1 and redshift quite low.

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