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Study of rotating gravastars
Modern Physics Letters A ( IF 1.4 ) Pub Date : 2023-08-04
Krishna Pada Das, Ujjal Debnath

In this work, we have discussed about a rotating gravastar model and some physical aspects in the presence of an anisotropic fluid source in the framework of General Relativity. We have considered two cases: one is gravastar’s interior fluid rigidly (or slowly) rotates, and the other is gravastar’s interior fluid non-rigidly rotates. We have considered a gravastar with three regions: interior region, thin shell region, and exterior region. We have written the field equations for a spherically symmetric object in which interior fluid rigidly (or slowly) rotates with angular velocity (ω). Next, we have solved the field equations in three regions of a gravastar. To compute the analytical solution within the shell region, we have used the approximation eλ=h1. Some physical quantities, like the proper length of the thin shell, energy, and entropy within the shell, have been obtained and discussed graphically. We have evaluated the surface energy density and the surface pressure analytically through the junction conditions between the surfaces of the interior and exterior regions. Next, we have discussed the equation of state parameter of the surface layer, the mass of the thin shell, and the total mass of the gravastar analytically and graphically. Also, we have discussed the stable region of such type gravastar. Again, we constructed the field equations for a spherically symmetric object in which interior fluid rotates non-rigidly. Next, we have discussed these field equations for a gravastar with three regions. Also, we have obtained some physical quantities like the proper length of the thin shell region, energy, entropy, density and angular velocity within the shell region for such type of gravastar. The stability has been discussed through the surface redshift within the shell region, and we get our model stable and physically valid.



中文翻译:

旋转重力星的研究

在这项工作中,我们讨论了广义相对论框架中各向异性流体源存在下的旋转重力星模型和一些物理方面。我们考虑了两种情况:一种是Gravastar内部流体刚性(或缓慢)旋转,另一种是Gravastar内部流体非刚性旋转。我们考虑了具有三个区域的格拉瓦星:内部区域、薄壳区域和外部区域。我们已经写出了球对称物体的场方程,其中内部流体以角速度刚性(或缓慢)旋转(ω)。接下来,我们求解了格拉瓦星三个区域的场方程。为了计算壳区域内的解析解,我们使用了近似e-λ=H1。一些物理量,如薄壳的适当长度、壳内的能量和熵,已经得到并以图形方式进行了讨论。我们通过内部和外部区域表面之间的接合条件分析评估了表面能量密度和表面压力。接下来,我们通过分析和图形方式讨论了表面层的状态参数方程、薄壳的质量以及格拉瓦星的总质量。此外,我们还讨论了此类 gravastar 的稳定区域。我们再次构建了内部流体非刚性旋转的球对称物体的场方程。接下来,我们讨论了具有三个区域的格拉瓦星的场方程。还,我们已经获得了此类格拉瓦星的一些物理量,如薄壳区域的适当长度、能量、熵、密度和壳区域内的角速度。通过壳区域内的表面红移讨论了稳定性,我们的模型稳定且物理有效。

更新日期:2023-08-07
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