论文标题
在重力背景下具有角动量的稳定球形壳
Stabilizing Spherical Energy Shells with Angular Momentum in Gravitational Backgrounds
论文作者
论文摘要
一般相对论中的球形能壳由于重力效应和/或由于张力效应而崩溃。可以通过修改背景时空的重力特性来实现壳稳定。因此，静态物质壳和外部schwarzshild时空由僵硬的物质壳组成，其吸引力的重力平衡了内部宿内空间时空的内部排斥性重力，从而导致稳定的僵硬物质壳。通过考虑旋转壳可以实现类似的稳定效果。在这里，我们研究了缓慢旋转的流体壳的稳定性。我们表明，壳的角速度具有类似于板岩内部排斥的应值重力的稳定特性。因此，我们使用以色列的连接条件和旋转壳状态的流体方程来构建确定旋转壳半径演化的动力学方程。这些动态方程取决于背景时空的参数和壳的角速度。假设旋转的内部和施瓦茨柴尔兹柴尔兹外部时空，我们表明，壳的角速度在其半径R的演变上具有有趣的稳定特性。因此，旋转物质（或真空）壳可以模仿黑洞，同时避免奇异的存在，而没有室内室内的室内室内。
Spherical energy shells in General Relativity tend to collapse due to gravitational effects and/or due to tension effects. Shell stabilization may be achieved by modifying the gravitational properties of the background spacetime. Thus, gravastars consist of stiff matter shells with an interior deSitter space and an exterior Schwarzshild spacetime whose attractive gravity balances the interior repulsive gravity of the interior deSitter spacetime leading to a stable stiff matter shell. Similar stabilization effects may be achieved by considering rotating shells. Here we study the stability of slowly rotating fluid shells. We show that the angular velocity of the shell has stabilizing properties analogous to the repulsive deSitter gravity of the interior of a gravastar. We thus use the Israel junction conditions and the fluid equation of state of the rotating shell to construct the dynamical equations that determine the evolution of the rotating shell radius. These dynamical equations depend on the parameters of the background spacetime and on the angular velocity of the shell. Assuming a rotating interior and a Schwarzschild exterior spacetime we show that the angular velocity of the shell has interesting stabilizing properties on the evolution of its radius R. Thus rotating matter (or vacuum) shells can imitate black holes while avoiding the presence of a singularity and without the presence of an interior deSitter space.
