AI 中文总结
该研究为Ovcharenko-Podolský解族引入新参数化，得到Bertotti-Robinson-Bonnor-Melvin宇宙中质量恒正的黑洞解，消除病态并符合黑洞热力学，还明确其与已知真空度规的关系。
AI 中文摘要
我们首先为描述浸没在外部Bertotti-Robinson电磁场中的不带电、非加速静态黑洞的爱因斯坦-麦克斯韦方程的Ovcharenko-Podolský精确解族引入新参数化。该新时空通常与原始Ovcharenko-Podolský时空不同，尤其是在求解场方程的分支上，原始参数化可能导致黑洞质量为负，而新参数化始终得到质量为正的黑洞。此外，通过引入额外规范常数，我们消除了各种病态情况，确保其符合黑洞热力学定律。接着，我们通过在Ernst方法框架内利用Harrison变换，将该新参数化推广以包含Bonnor-Melvin型外部电磁场，从而得到新的爱因斯坦-麦克斯韦解族。我们再次确定所需的适当规范常数以消除可能的病态情况，确保所得解满足黑洞热力学定律。最后，我们研究该新解族的真空子类，并建立其与先前已知度规的关系。
英文摘要
We begin by introducing a new parameterization for the Ovcharenko-Podolský family of exact solutions of the Einstein-Maxwell equations describing uncharged and non-accelerating static black holes immersed in an external Bertotti-Robinson electromagnetic field. The new spacetime is, in general, different from the original Ovcharenko-Podolský one, in particular on the branches solving the field equations, for which the original parameterization can lead to black holes with a negative mass, whereas the new one always leads to black holes with a positive mass. Moreover, by introducing additional gauge constants, we remove the various pathologies and ensure consistency with the laws of black hole thermodynamics. We then obtain a new family of Einstein-Maxwell solutions by generalizing this new parameterization, through Harrison transformation within the Ernst method, to also include an external electromagnetic field of the Bonnor-Melvin type. We again identify the appropriate gauge constants required to remove the possible pathologies and ensure that the resulting solutions satisfy the laws of black hole thermodynamics. Finally, we investigate the vacuum subcase of the new family and establish its relation to previously known metrics.
Comments32 pages
