论文标题

极限曲率重力理论中的黑洞

Black holes in the limiting curvature theory of gravity

论文作者

Frolov, Valeri P.

论文摘要

我们讨论了最近提出的限制重力曲率理论及其在黑洞内部奇异性问题上的应用。在该理论中,重力作用中包含的特别选择的不平等约束抑制了曲率的生长。我们考虑了一个球形对称的四维黑洞的情况,并证明施加的曲率约束会在黑洞内部修改溶液。修改度度量不是形成曲率奇异性,而是描述了一个朝着一个方向呈指数扩展并振荡其他两个方向的空间。时空是完整的,其多项式曲率不变性是均匀边界的。

We discuss a recently proposed limiting curvature theory of gravity and its application to the problem of singularities inside black holes. In this theory the growth of the curvature is suppressed by specially chosen inequality constraints included in the gravity action. We consider a case of a spherically symmetric four dimensional black hole and demonstrated that imposed curvature constraints modify a solution in the black hole interior. Instead of forming the curvature singularity the modified metric describes a space which is exponentially expanding in one direction and oscillating the other two directions. The spacetime is complete and its polynomial curvature invariants are uniformly bounded.

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