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Charged analogues of isotropic compact stars model with buchdahl metric in general relativity
Astrophysics and Space Science ( IF 1.8 ) Pub Date : 2021-03-03 , DOI: 10.1007/s10509-021-03931-9
Amit Kumar Prasad , Jitendra Kumar

In this work, we examine a spherically symmetric compact body with isotropic pressure profile. In this context we obtain a new class of exact solutions of Einstein-Maxwell field equation for compact stars with uniform charged distributions on the basis of Pseudo-spheroidal space-time with a particular form of electric field intensity and the metric potential \(g_{11}\). Taking these two parameters into account further examination has been done to decide unknown constants and to depict several compact strange star candidates. By the isotropic Tolman-Oppenhimer-Volkoff(TOV) equation, we explore the equilibrium among hydrostatic, gravitational and electric forces. Then, we analyze the stability of the model through adiabatic index(\(\gamma \)) and velocity of sound (\(0<\frac{dp}{c^{2}d\rho }<1\)). We additionally talk about other physical features of this model e.g. pressure, redshift, density, energy conditions and mass-radius ratio of the stars in detail and demonstrated that our results satisfied all the basic prerequisites of a physically legitimate stellar model, showing density, pressure, pressure-density ratio, redshift and speed of sound are monotonically decreasing. The outcomes acquired are valuable in exploring the strength of other compact objects like white dwarfs, gravastars and neutron stars. Finally, we have shown that the obtained solutions are compatible with observational data for compact objects.



中文翻译:

具有广义相对论的布赫达尔度量的各向同性紧凑恒星模型的带电类似物

在这项工作中,我们研究了具有各向同性压力分布的球形对称紧凑体。在这种情况下,我们根据伪球形的时空,具有特定形式的电场强度和度量电势\(g_ { 11} \)。考虑到这两个参数,已经进行了进一步的检查以确定未知常数并描绘出几个紧凑的奇异星候选。通过各向同性的Tolman-Oppenhimer-Volkoff(TOV)方程,我们探索了静水力,重力和电场力之间的平衡。然后,我们通过绝热指数(\(\ gamma \))和声速(\(0 <\ frac {dp} {c ^ {2} d \ rho} <1 \))。我们还详细讨论了该模型的其他物理特征,例如压力,红移,密度,能量条件和恒星的质量半径比,并证明了我们的结果满足了物理上合法的恒星模型的所有基本先决条件,并显示了密度,压力,压力密度比,红移和声音速度单调下降。获得的结果对于探索其他致密物体(如白矮星,引力星和中子星)的强度非常有价值。最后,我们证明了所获得的解与紧凑物体的观测数据兼容。

更新日期:2021-03-04
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