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arXiv 1802.01332gr-qc
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爱因斯坦-麦克斯韦时空中的各向异性奇异星

Anisotropic strange stars in the Einstein-Maxwell spacetime

Debabrata Deb, Maxim Khlopov, Farook Rahaman, Saibal Ray, B. K. Guha

摘要:

在球对称的内部时空度规下,我们详细分析了电荷对各向异性奇异星候选者的影响。为了得到Einstein-Maxwell场方程的精确解,我们考虑了由简化的MIT袋态方程$p=\frac{1}{3}\left( ρ-4\,B \right)$(其中$B$为袋常数,电荷分布为$q(r)=Q\left({r}/{R}\right)^3=α{r^3}$,其中$α$为常数)控制的各向异性奇异夸克物质(SQM)分布.为此,为了计算不同的常数,我们用Reissner-Nordstr{<$}m度规描述了外部时空。通过使用观测到的质量值为不同的奇怪的恒星候选人,我们已经最大化的表面各向异性应力预测的确切值的半径为不同的值的$α$和袋常数的特定值。此外,我们进行了不同的测试,以研究所提出的恒星模型的物理有效性和稳定性。我们发现电荷分布的累积在具有${{10}^{20}}~C$阶电荷和${10}^{21-22}~V/cm$阶电场的表面处最大。为了研究各向异性恒星系统的不同物理参数和电荷的影响,我们以$LMC~X-4$为代表的奇异恒星候选者,用图形和表格的形式给出了我们的分析。

英文摘要:

We present here a detailed analysis on the effects of charge on the anisotropic strange star candidates by considering a spherically symmetric interior spacetime metric. To obtain exact solution of the Einstein-Maxwell field equations we have considered the anisotropic strange quark matter (SQM) distribution governed by the simplified MIT bag equation of state (EOS), $p=\frac{1}{3}\left( ρ-4\,B \right)$, where $B$ is the bag constant and the distribution of the electrical charge is given as $q(r)=Q\left({r}/{R}\right)^3=α{r^3}$, where $α$ is a constant. To this end, to calculate different constants we have described the exterior spacetime by the Reissner-Nordstr{ö}m metric. By using the values of the observed mass for the different strange star candidates we have maximized anisotropic stress at the surface to predict the exact values of the radius for the different values of $α$ and a specific value of the bag constant. Further, we perform different tests to study the physical validity and the stability of the proposed stellar model. We found accumulation of the electric charge distribution is maximum at the surface having electric charge of the order ${{10}^{20}}~C$ and electric field of the order ${10}^{21-22}~V/cm$. To study the different physical parameters and the effects of charge on the anisotropic stellar system we have presented our analysis graphically and in the tabular format by considering $LMC~X-4$ as the representative of the strange star candidates.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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