论文标题
黑色弦和圆环状黑洞的常规解决方案
Regular solutions for black strings and torus-like black holes
论文作者
论文摘要
在这封信中,我们用球形对称性扩展了最近的黑洞溶液[物理学。 Lett。 b \ textbf {835}(2022),137546],到具有不同拓扑的新的黑洞解决方案,即,在宇宙常数的情况下,圆环般的黑洞和黑色绳子。我们已经将正则化表达式用于重力和电磁电位,然后我们将校正得出到了能量密度,最后,获得的黑洞溶液是在极限$ r \ to 0 $中定期获得的。有趣的是,发现由于静电场的正则体能源,黑洞的总质量得到了校正。在特殊限制中,我们恢复了文献中著名的解决方案。
In this letter, we extend the recent black hole solution with spherical symmetry [Phys. Lett. B \textbf{835} (2022), 137546], to a new class of black hole solutions with different topology, namely, a torus-like black hole and a black string in the presence of the cosmological constant. We have used the regularized expressions for the gravitational and the electromagnetic potentials, then we derived the corrections to the energy density and, finally, the black hole solutions are obtained which are regular in the limit $r \to 0$. Interestingly, it is found that the total mass of the black hole is corrected due to the regularized self-energy of the electrostatic field. In the special limit, we recover the well-known solutions in the literature.