A stationary and spherically symmetric black hole (For example,Reissner-Nordstr$\ddot{\textrm{o}}$m black hole or Kerr-Newman black hole) hasat most one singularity and two horizons. One horizon is the outer eventhorizon and the other is the inner Cauchy horizon. Can we construct static andspherically symmetric black hole solutions with $N$ horizons and $M$singularities? De Sitter cosmos has only one apparent horizon. Can we constructcosmos solutions with $N$ horizons? In this article, we present the static andspherically symmetric black hole and cosmos solutions with $N$ horizons and $M$singularities in the vector-tensor theories. Following these motivations, wealso construct the black hole solutions with a firewall. The deviation of theseblack hole solutions from the usual ones can be potentially tested by futuremeasurements of gravitational waves.
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机译：固定且球形对称的黑洞（例如，Reissner-Nordstr $ \ ddot {\ textrm {o}} $ m黑洞或Kerr-Newman黑洞）最多具有一个奇点和两个视界。一个视野是外部事件地平线，另一个是内部柯西视野。我们可以构造具有$ N $视界和$ M $奇点的静态和球对称黑洞解决方案吗？德西特宇宙只有一个明显的视野。我们可以构建具有$ N $视野的宇宙解决方案吗？在本文中，我们介绍了矢量张量理论中具有$ N $视界和$ M $奇点的静态和球对称黑洞与宇宙解。遵循这些动机，我们还使用防火墙构建了黑洞解决方案。这些黑洞解与通常解的偏差可以通过将来对重力波的测量来检验。
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