Charged analogues of Schwarzschild interior solution in terms of pressure

Details Charged analogues of Schwarzschild interior solution in terms of pressure Charged analogues of Schwarzschild interior solution in terms of pressure

Dec 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ap%26ss.336..413b&link_type=abstract

Astrophysics and Space Science, Volume 336, Issue 2, pp.413-418

Astronomy and Astrophysics

Astrophysics

1

Charge Fluids, Schwarzschild, Reissner-Nordstrom, General Relativity, Exact Solution

Scientific paper

Recently, Bijalwan (Astrophys. Space Sci., doi:10.1007/s10509-011-0691-0, 2011a) discussed charged fluid spheres with pressure while Bijalwan and Gupta (Astrophys. Space Sci. 317, 251-260, 2008) suggested using a monotonically decreasing function f to generate all possible physically viable charged analogues of Schwarzschild interior solutions analytically. They discussed some previously known and new solutions for Schwarzschild parameter u( =GM/c^{2a} ) le 0.142, a being radius of star. In this paper we investigate wide range of u by generating a class of solutions that are well behaved and suitable for modeling Neutron star charge matter. We have exploited the range u≤0.142 by considering pressure p= p( ω) and f = ( f0(1 - R2(1 - ω )/a2) +faR2(1 - ω )/a2 ), where ω = 1 -r2/R2 to explore new class of solutions. Hence, class of charged analogues of Schwarzschild interior is found for barotropic equation of state relating the radial pressure to the energy density. The analytical models thus found are well behaved with surface red shift z s ≤0.181, central red shift z c ≤0.282, mass to radius ratio M/ a≤0.149, total charge to total mass ratio e/ M≤0.807 and satisfy Andreasson's (Commun. Math. Phys. 288, 715-730, 2009) stability condition. Red-shift, velocity of sound and p/ c 2 ρ are monotonically decreasing towards the surface while adiabatic index is monotonically increasing. The maximum mass found to be 1.512 M Θ with linear dimension 14.964 km. Class of charged analogues of Schwarzschild interior discussed in this paper doesn't have neutral counter part. These solutions completely describe interior of a stable Neutron star charge matter since at centre the charge distribution is zero, e/ M≤0.807 and a typical neutral Neutron star has mass between 1.35 and about 2.1 solar mass, with a corresponding radius of about 12 km (Kiziltan et al., arXiv:1011.4291 [astro-ph.GA], 2010).

Affiliated with

Also associated with

No associations

Rating

Charged analogues of Schwarzschild interior solution in terms of pressure does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Charged analogues of Schwarzschild interior solution in terms of pressure, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Charged analogues of Schwarzschild interior solution in terms of pressure will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1891989