A family of well behaved charge analogues of a well behaved neutral solution in general relativity

Abstract

A family of charge analogues of a neutral solution with g 44 = (1 + Cr 2 ) 6 has been obtained by using a specific electric intensity, which involves a parameter K. Both neutral and charged solutions are analysed physically subject to the surface density 2 × 10 14 gm/cm 3 (neutron star). The neutral solution is well behaved for 0.0 < Ca 2 ≤ 0.10477 while its charge analogues are well behaved for a wide range of a parameter K (0 ≤ K ≤ 72) i.e. pressure, density, pressuredensity ratio, velocity of sound is monotonically decreasing and the electric intensity is monotonically increasing in nature for the given range of the parameter K. The maximum mass and radius occupied by the neutral solution are 3.4126M and 18.9227 km for Ca 2 = 0.10447 respectively. While the red shift at centre Z 0 = 0.9686 and red shift at the surface Z a = 0.4612. For the charged solution, the maximum mass and radius are 5.6111M and 17.2992 km respectively for K = 3.0130 and Ca 2 = 0.2500, with the red shift Z 0 = 3.0113 and Z a = 1.0538.

Anisotropic charged physical models with generalized polytropic equation of state

“…Pant et al [6] shown that a charged solution possess positively finite pressure and density at the center which fulfill the casuality condition, i.e., d P r dρ ≤ 1. Maurya and Gupta [7,8] derived a e-mail: ayishanasim2@gmail.com b e-mail: azam.math@ue.edu.pk charged solutions with metric potential g 44 = B(1 + Cr 2 ) n for every integral value of n, by specifying electric field intensity in terms of parameter K and remarked that all solutions for n ≥ 4 are well behaved for some range of parameter K.…”

Exact physical Maxwell-Einstein Tolman-VII solution and its use in stellar models

“…To date, several such metrics have been produced, but only the metric of Kuchowicz (1967) electrified in Gupta and Maurya (2011c), the Durgapal IV metric (1982) electrified in Pant (2011b), the Durgapal V metric (1982) electrified in Gupta and Maurya (2011b), and the two metrics of Pant (2011a) electrified in Maurya and Gupta (2011a) and Pant and Rajasekhara (2011) have been shown to satisfy all the above-mentioned physical constraints in the limit as Q → 0 (see Table 1). In these five electrified metrics, the coefficient of dt 2 (i.e., g tt in ds 2 = g tt dt 2 + g rr dr 2 + r 2 d 2 ) is by construction the same as in the chargeless case.…”

Variety of Well behaved parametric classes of relativistic charged fluid spheres in general relativity

“…Consequently, Many of the authors obtained the parametric class of exact solutions of Einstein-Maxwell field equations by electrifying some well known uncharged fluid spheres e.g. Tolman (1939) solution by Cataldo and Mitskievic (1992), Heintzmann's (1969) solution by Pant et al (2010), Durgapal V (1982) by Gupta and Maurya (2010), Durgapal IV (1982) by Pant (2010b), Pant I solution (2010a) by Maurya and Gupta (2010a), etc. These coupled solutions are well behaved with some positive values of charge parameter K and completely describe interior of the super-dense astrophysical objects with charge matter.…”