标题： 带电恒星、规则黑洞、准黑洞和拟非黑洞的稳定性 显示英文标题

标题： Stability of electrically charged stars, regular black holes, quasiblack holes, and quasinonblack holes

摘要： 研究了一类带电流体球在径向扰动下的稳定性。这些流体球包括规则恒星、超张力恒星、规则黑洞、拟黑洞和拟非黑洞，它们都具有Reissner-Nordström外部场。我们按照Chandrasekhar的方法推导出动力学扰动方程，并通过数值方法研究了其在径向扰动下的稳定性。结果发现：(i) 在某些取决于径向扰动绝热指数的条件下，存在稳定的带电恒星和稳定的张力恒星；(ii) 同样取决于绝热指数，规则黑洞也是稳定的；(iii) 例如由充电规则压力恒星或放电规则张力恒星形成的拟黑洞构型，在合理的绝热指数值下可以对径向扰动稳定；(iv) 拟非黑洞在径向扰动下是不稳定的。 显示英文摘要

摘要： The stability of a class of electrically charged fluid spheres under radial perturbations is studied. Among these spheres there are regular stars, overcharged tension stars, regular black holes, quasiblack holes, and quasinonblack holes, all of which have a Reissner-Nordstr\"om exterior. We formulate the dynamical perturbed equations by following the Chandrasekhar approach and investigate the stability against radial perturbations through numerical methods. It is found that (i) under certain conditions that depend on the adiabatic index of the radial perturbation, there are stable charged stars and stable tension stars; (ii) also depending on the adiabatic index there are stable regular black holes; (iii) quasiblack hole configurations formed by, e.g., charging regular pressure stars or by discharging regular tension stars, can be stable against radial perturbations for reasonable values of the adiabatic index; (iv) quasinonblack holes are unstable against radial perturbations.