Dirac星基态的微扰
Perturbing the ground state of Dirac stars
摘要：
狄拉克星是自旋为1/2的费米子的自引力配置，其中费米子由狄拉克方程描述。在详细回顾了方程的推导及其静态解之后，我们提出了一个类似于以前研究玻色子星的基态的深入的动力学稳定性分析。我们证实了静态解的稳定分支和不稳定分支都存在，并证明了弱扰动狄拉克星从不稳定分支迁移到稳定分支。我们还表明，强扰动狄拉克星从稳定的分支迁移到稳定的分支，如果他们的质量低于临界值。如果它们的质量超过临界值，它们可以迁移到稳定分支或坍缩并形成黑洞。对于强扰动狄拉克星从不稳定的分支，我们表明，增加即使是少量的质量导致崩溃，而如果我们减少他们的质量，他们迁移到稳定的分支。
英文摘要：
Dirac stars are self-gravitating configurations of spin-1/2 fermions in which the fermions are described by the Dirac equation. After a detailed review of the derivation of the equations and their static solutions, we present an in-depth dynamical stability analysis of the ground state similar to previous studies for boson stars. We confirm that there exist both stable and unstable branches of static solutions and show that weakly perturbed Dirac stars from the unstable branch migrate to the stable branch. We also show that strongly perturbed Dirac stars from the stable branch migrate to the stable branch if their mass is below a critical value. If their mass is above the critical value they can migrate to the stable branch or collapse and form a black hole. For strongly perturbed Dirac stars from the unstable branch we show that the addition of even a small amount of mass leads to collapse, while if we decrease their mass they migrate to the stable branch.
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