Einstein–Maxwell Field Equation in Isotropic Coordinates: An Application to Modeling Superdense Star

Journal of astrophysics and astronomy

N. Pradhan¹  Neeraj Pant1²  Mohammad Ahmad² 

[1] Physics Department, National Defence Academy, Khadakwasla, Pune 411 023, India.$$;Mathematics Department, National Defence Academy, Khadakwasla, Pune 411 023, India.$$

关键词: General relativity;    relativistic astrophysics;    exact solution;    isotropic coordinates;    compact star.;   

DOI  :  

学科分类：天文学(综合)

来源: Indian Academy of Sciences

【 摘 要 】

We present a charged analogue of Pant et al. (2010, Astrophys.Space Sci., 330, 353) solution of the general relativistic field equations in isotropic coordinates by using simple form of electric intensity $E$ that involve charge parameter $K$. Our solution is well behaved in all respects for all values of $X$ lying in the range 0 < $X leq 0.11$, $K$ lyingin the range 4 < $K leq 6.2$ and Schwarzschild compactness parameter $u$ lying in the range 0 < $u leq 0.247$. Since our solution is well behaved for wide ranges of the parameters, we can model many different types of ultra-cold compact stars like quark stars and neutron stars. We have shown that corresponding to $X = 0.077$ and $K = 6.13$ for which $u = 0.2051$ and by assuming surface density $ρb = 4.6888 × 10^14 {m g cm}^(−3)$ the mass and radius are found to be 1.509 $M_odot$, 10.906 km respectively which match with the observed values of mass 1.51 $M_odot$ and radius 10.90 km of the quark star XTE J1739-217. The well behaved class of relativistic stellar models obtained in this work might have astrophysical significance in the study of more realistic internal structures of compact stars.

【 授权许可】

Unknown