论文标题
新的常规黑洞解决方案和其他带有DE Sitter核心和物质层的电动电荷紧凑物体
New regular black hole solutions and other electrically charged compact objects with a de Sitter core and a matter layer
论文作者
论文摘要
这项工作的主要目的是在爱因斯坦 - 马克斯韦（Einstein-Maxwell）理论的背景下构建常规黑洞解决方案。该策略是将内部常规溶液与外部电动溶液匹配。为此，我们首先要明确编写内部常规区域的爱因斯坦场方程。我们采用了带电的非偶像流体，它呈现球形对称性和状态的de Sitter类型方程，其中径向压力$ p_r $等于能量密度$ρ$，$ p_r =-ρ$的负数。然后，建立了爱因斯坦方程的两种解决方案，这是该区域的常规内部解决方案，具有满足状态的de Sitter方程的物质，以及对物质外部地区的外部解决方案，与Reissner-NordströmMetric相对应。为了完成解决方案，我们在匹配表面上使用达莫斯 - 以色列的连接条件，并在匹配的表面上使用时型薄壳。假定匹配的表面是由薄的物质壳组成的，即形式的表面层，完美的液体，遵守状态的正压方程，$ \ nathcal {p} =ωσ$，$ p $和$ p $和$σ$是壳的内在压力和能量密度，分别是壳的内在压力和$ω$ $ ch $ a commant parame的$。我们表明，有电动带电的常规黑洞解决方案和其他紧凑对象，可用于$ω$和模型的其他参数的特定选择。研究对象的某些特性。
The main objective of this work is the construction of regular black hole solutions in the context of the Einstein-Maxwell theory. The strategy is to match an interior regular solution to an exterior electrovacuum solution. With this purpose, we first write explicitly the Einstein field equations for the interior regular region. We take an electrically charged nonisotropic fluid, which presents spherical symmetry and a de Sitter type equation of state, where the radial pressure $p_r$ is equal to the negative of energy density $ρ$, $p_r=-ρ$. Then, two solutions for the Einstein equations are built, a regular interior solution for the region with matter satisfying a de Sitter equation of state, and an external solution for the region outside the matter, that corresponds to the Reissner-Nordström metric. To complete the solution we apply the Darmois-Israel junction conditions with a timelike thin shell at the matching surface. It is assumed that the matching surface is composed by a thin shell of matter, i.e., a surface layer in the form a perfect fluid obeying a barotropic equation of state, $\mathcal{P}=ωσ$, $P$ and $σ$ being the intrinsic pressure and energy density of the shell, respectively, and $ω$ a constant parameter. We show that there are electrically charged regular black hole solutions and other compact objects for specific choices of $ω$ and of the other parameters of the model. Some properties of the objects are investigated.
