An exact time-dependent interior Schwarzschild solution

Abstract

We present a time-dependent uniform-density interior Schwarzschild solution, an exact solution to the Einstein field equations. Our solution describes the collapse (or the time-reversed expansion) of an object from an infinite radius to an intermediate radius of 9/8 of the Schwarzschild radius, at which time a curvature singularity appears at the origin, and then continues beyond the singularity to a gravastar with radius equal to the Schwarzschild radius.

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Cited by in corpus (10)

• A causal Schwarzschild-de Sitter interior solution by gravitational decoupling
• Anisotropic ultracompact Schwarzschild star by gravitational decoupling
• Quasinormal modes and shadow of a Schwarzschild black hole with GUP
• Phenomenology of GUP stars
• Quantum-corrected scattering and absorption of a Schwarzschild black hole with GUP
• Derivations of group rings
• Detectable universes inside regular black holes
• Where is Love? Tidal deformability in the black hole compactness limit
• Slowly rotating ultracompact Schwarzschild star in the gravastar limit
• Tidal deformability of ultracompact Schwarzschild stars and their approach to the black hole limit