稳定引力星：吉尔福伊尔的带电解
Stable Gravastars: Guilfoyle's electrically charged solutions
摘要：
引力真空星（{ \it gravastar}）模型是一种多层结构的致密天体，人们提出了一种强有力的黑洞替代方案，以避免与视界和奇点相关的一些理论问题。在这项工作中，我们构建了一个球对称的薄壳带电引力星模型之间的真空相变deSitter内部和外部Reissner-Nordstr $\ddot{\text{o}}$ m时空（RN）是匹配的交界面，通过使用剪切和粘贴程序。在Guilfoyle精确解中发现了引力星解，其中引力势$W^2$和电势场$ϕ$服从一种简单形式的特殊关系$ a\left(b-εϕ\right)^2 +b_1$，其中$a$，$b$和$b_1$为任意常数.吉尔福伊尔的解的最简单的解释是通过以下假设实现的：总能量密度$8πρ_m+\frac{Q^2}{ r^4}$ =常数，其中$Q(r)$是达到一定半径$r$的电荷。我们表明，对于一定范围的参数，我们可以避免地平线的形成，这使我们能够研究静态平衡解周围的线性球对称径向扰动。为了给我们的解决方案提供理论支持，我们还分析了引力星配置的物理和几何性质。
英文摘要：
Compelling alternatives to black holes, namely, gravitational vacuum star ({\it gravastar}) models, the multilayered structure compact objects, have been proposed to avoid a number of theoretical problems associated with event horizons and singularities. In this work, we construct a spherically symmetric thin-shell charged gravastar model where the vacuum phase transition between the de Sitter interior and the external Reissner--Nordstr$\ddot{\text{o}}$m spacetime (RN) are matched at a junction surface, by using the cut-and-paste procedure. Gravastar solutions are found among the Guilfoyle exact solutions where the gravitational potential $W^2$ and the electric potential field $ϕ$ obey a particularly relation in a simple form $ a\left(b-εϕ\right)^2 +b_1$, where $a$, $b$ and $b_1$ being arbitrary constants. The simplest ansatz of Guilfoyle's solution is implemented by the following assumption: that the total energy density $8πρ_m+\frac{Q^2}{ r^4}$ = constant, where $Q(r)$ is the electric charge up to a certain radius $r$. We show that, for certain ranges of the parameters, we can avoid the horizon formation, which allows us to study the linearized spherically symmetric radial perturbations around static equilibrium solutions. To lend our solution theoretical support, we also analyze the physical and geometrical properties of gravastar configurations.
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