论文标题
相对论流体球的存在和稳定性由薄壳支撑
Existence and stability of relativistic fluid spheres supported by thin shells
论文作者
论文摘要
我们提出了两种模型，用于由薄壳配置支持的恒定密度相对论的完美流体球。这些模型是从Schwarzschild恒定密度星溶液中获得的：通过与外部Schwarzschild溶液进行匹配，以小于星形半径的匹配半径，该模型是通过流体外层的倒塌到薄壳中的。第二种是通过将恒星与内部Minkowski时空相匹配的恒星内部真空气泡。两种模型均显示出满足弱和强的能量条件（WEC和SEC）的满足，并且可以任意接近黑洞的紧凑性，而无需在中心发展奇异，因此是Buchdahl极限的例外。我们计算了提出的模型的稳定性制度，并表明恒星半径$ r $和匹配的半径$r_σ$的匹配半径$r_σ$，该解决方案稳定，满足对象的主要能量状况（DEC），并且对象的半径且小于300万美元，这意味着这些型号可以用作模型的模型，以作为暗物质或extact Compact Compact Compact Compact或Exatact Compact Compact或Exatact Compact Compact Compact或Exatact Compact Compact。
We propose two models for constant density relativistic perfect-fluid spheres supported by thin shell configurations. These models are obtained from the Schwarzschild constant density star solution: the first via the collapse of the external layers of the fluid into a thin shell by performing a matching with the exterior Schwarzschild solution at a matching radius smaller than the star radius; and the second via the creation of a vacuum bubble inside the star by matching it with an interior Minkowski spacetime. Both models are shown to satisfy both the weak and the strong energy conditions (WEC and SEC) and can have a compactness arbitrarily close to that of a black-hole without developing singularities at the center, thus being exceptions to the Buchdahl limit. We compute the stability regimes of the models proposed and we show that there are combinations of the star radius $R$ and the matching radius $R_Σ$ for which the solutions are stable, the dominant energy condition (DEC) is satisfied, and the radius of the object is smaller than $3M$, implying that these models could be used as models for dark matter or exotic compact objects.
