A class of relativistic anisotropic charged stellar models in isotropic coordinates

• Published in: Astrophysics and space science Vol. 355; no. 1; pp. 137 - 145
• Main Authors: Pant, Neeraj, Pradhan, N., Murad, Mohammad Hassan
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01-01-2015; Springer Nature B.V
• Subjects: Anisotropy; Astrobiology; Astronomy; Astrophysics; Astrophysics and Astroparticles; Charging; Constants; Cosmology; Density; Electric fields; Mathematical models; Neutron stars; Observations and Techniques; Original Article; Physics; Physics and Astronomy; Quark stars; Space Exploration and Astronautics; Space Sciences (including Extraterrestrial Physics; Stars; Stars & galaxies; Isotropic coordinates; Anisotropic fluid sphere; Relativistic astrophysics; Reissner-Nordström; General relativity; Compact stars; Charged fluid sphere; Relativistic stars; Exact solution
• ISSN: 0004-640X; 1572-946X
• DOI: 10.1007/s10509-014-2156-8

In this present paper, we present a class of static, spherically symmetric charged anisotropic fluid models of super dense stars in isotropic coordinates by considering a particular type of metric potential, a specific choice of electric field intensity
E
and pressure anisotropy factor Δ which involve parameters
K
(charge) and
α
(anisotropy) respectively. The solutions so obtained are utilized to construct the models for super-dense stars like neutron stars and strange quark stars. Our solutions are well behaved within the following ranges of different constant parameters: 4<
n
≤21.6, 0<
K
<0.2499, 0≤
α
≤0.068 and Schwarzschild parameter, 0≤
u
=
GM
/
c
2
R
≤0.334. With Δ=0 we rediscover the isotropic model of Pant et al. (Astrophys. Space Sci. 352:135,
2014
) and with
α
=0 and
K
=0 we rediscover the isotropic neutral model of Murad and Pant (Astrophys. Space Sci. 350:349,
2014
). It has been observed that with the increase of
α
maximum mass decreases. We also present models of super dense star like neutron and quark star based on the particular solution taking
n
=4.35,
α
=0.002,
K
=0.2062 for which
u
has maximum value
u
max
=0.306. By assuming surface density
ρ
b
=4.6888×10
14
 g cm
−3
the resulting well behaved solution has a maximum quark star mass
M
=2.02 
M
⊙
and radius
R
=9.78 km; and the choice
ρ
b
=2.7×10
14
 g cm
−3
results charged fluid ball of maximum mass
M
=2.66 
M
⊙
and radius
R
=12.89 km.