Black holes in the limiting curvature theory of gravity

Abstract

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.

11 pages, 1 figure

References in corpus (4)

• Geodesically complete black holes in Lorentz-violating gravity
• Two-dimensional black holes in the limiting curvature theory of gravity
• Spherically symmetric black holes in the limiting curvature theory of gravity
• Bouncing cosmology in the limiting curvature theory of gravity

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• No-hair and almost-no-hair results for static axisymmetric black holes and ultracompact objects in astrophysical environments