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arXiv 1712.00577gr-qchep-th
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具有电场的流体黑洞

Fluid Black Holes with Electric Field

Inyong Cho

摘要:

研究了静态理想流体在电场作用下的引力场。我们采用状态方程$p(r)=-ρ(r)/3$的流体,以考虑封闭($S_3$)或开放($H_3$)的背景空间拓扑结构。根据质量、空间曲率和电荷参数($K$、$R_0$、$Q$)的尺度,在$S_3$和$H_3$类中有几种类型的解。其中,最有趣的解决方案是Reisner-Norström类型的黑洞。由于电场的存在,在几何结构中存在两个层位。在内视界内通常存在曲率奇点。另外,由于流体的存在,在$S_3$的对跖点处存在一个裸奇点。这两个奇点只能由径向零射线访问。

英文摘要:

We investigate the gravitational field of static perfect-fluid in the presence of electric field. We adopt the equation of state $p(r)=-ρ(r)/3$ for the fluid in order to consider the closed ($S_3$) or the open ($H_3$) background spatial topology. Depending on the scales of the mass, spatial-curvature and charge parameters ($K$, $R_0$, $Q$), there are several types of solutions in $S_3$ and $H_3$ classes. Out of them, the most interesting solution is the Reisner-Norström type of black hole. Due to the electric field, there are two horizons in the geometry. There exists a curvature singularity inside the inner horizon as usual. In addition, there exists a naked singularity at the antipodal point in $S_3$ outside the outer horizon due to the fluid. Both of the singularities can be accessed only by radial null rays.

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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