标题： 具有连续压力和状态方程的引力天体解 显示英文标题

标题： Gravastar Solutions with Continuous Pressures and Equation of State

摘要： 我们研究由其他作者提出的引力真空星（gravastar）配置，在一个模型中，内部的德西特时空段连续延伸到外部的施瓦茨希尔德时空。 先前论文中的多层结构被替换为连续的应力-能量张量，代价是引入了（流体）模型中的各向异性。 无论是通过假设方程状态连接径向$p_r$和切向$p_t$压力，还是通过计算得到的具有非均匀能量/流体密度的方程状态，都获得了在各个方面都满足各向异性 gravastar 所期望条件的解。 某些能量条件已被证明是遵守的，并且已经推导出一个多态方程状态。 显示该解相对于可能的轴向扰动是稳定的。 显示英文摘要

摘要： We study the gravitational vacuum star (gravastar) configuration as proposed by other authors in a model where the interior de Sitter spacetime segment is continuously extended to the exterior Schwarzschild spacetime. The multilayered structure in previous papers is replaced by a continuous stress-energy tensor at the price of introducing anisotropy in the (fluid) model of the gravastar. Either with an ansatz for the equation of state connecting the radial $p_r$ and tangential $p_t$ pressure or with a calculated equation of state with non-homogeneous energy/fluid density, solutions are obtained which in all aspects satisfy the conditions expected for an anisotropic gravastar. Certain energy conditions have been shown to be obeyed and a polytropic equation of state has been derived. Stability of the solution with respect to possible axial perturbation is shown to hold.