标题： 带电正则黑洞的新解及其稳定性 显示英文标题

标题： New solutions of charged regular black holes and their stability

摘要： 我们通过将德西特解和雷斯纳-诺德斯特罗姆解与类时薄壳匹配，构建了新的规则黑洞解。 该薄壳被认为具有质量但没有压力，并遵循由伊萨拉的接合条件导出的运动方程。 通过研究薄壳的运动方程，我们获得了带电规则黑洞的稳态解，并检验了解的稳定性。 在0.87L < m < 1.99L的有限范围内找到了稳态解，如果M>0，在m、M和Q取固定值的情况下，这些解对薄壳的小径向位移是稳定的，其中 L是德西特视界半径，m是黑洞质量，M是薄壳的固有质量，Q是黑洞电荷。 所有获得的解在Q/m >0.866的意义上都是高度带电的。 通过取当前规则黑洞解中薄壳的质量为零极限，我们得到了由Lemos和Zanchin获得的带有质量为零薄壳的带电规则黑洞，并研究了解的稳定性。 发现Lemos和Zanchin由当前规则黑洞解的质量为零极限给出的规则黑洞解允许稳定解，这些解是由M -> 0的极限得到的。 显示英文摘要

摘要： We construct new regular black hole solutions by matching the de Sitter solution and the Reissner-Nordstrom solution with a timelike thin shell. The thin shell is assumed to have mass but no pressure and obeys an equation of motion derived from Israel's junction conditions. By investigating the equation of motion for the shell, we obtain stationary solutions of charged regular black holes and examine stability of the solutions. Stationary solutions are found in limited ranges of 0.87L < m < 1.99L, and they are stable against small radial displacement of the shell with fixed values of m, M, and Q if M>0, where L is the de Sitter horizon radius, m the black hole mass, M the proper mass of the shell and Q the black hole charge. All the solutions obtained are highly charged in the sense of Q/m >0.866. By taking the massless limit of the shell in the present regular black hole solutions, we obtain the charged regular black hole with a massless shell obtained by Lemos and Zanchin and investigate stability of the solutions. It is found that Lemos and Zanchin's regular black hole solutions given by the massless limit of the present regular black hole solutions permit stable solutions, which are obtained by the limit of M -> 0.