Cosmic inflation prevents singularity formation in collapse into a Hayward black hole

Apr 18, 2024
14 pages
Published in:
  • Class.Quant.Grav. 42 (2025) 6, 065027,
  • Class.Quant.Grav. 42 065027
  • Published: Mar 12, 2025
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Abstract: (IOP)
We construct a (quantum mechanically) modified model for the Oppenheimer–Snyder collapse scenario where the exterior of the collapsing dust ball is a Hayward black hole spacetime and the interior is a dust Friedmann–Robertson–Walker cosmology. This interior cosmology is entirely determined by the junction conditions with the exterior black hole. It turns out to be non-singular, displaying a power-law contraction which precedes a de Sitter phase or, reversely, a power-law expansion followed by a de Sitter era. We demonstrate that cosmic inflation in the collapse setting is a mechanism that decelerates collapsing matter, thereby preventing singularity formation. We also analyse the global causal structure and the viability of the model.
Note:
  • v3: Accepted for publication in Classical and Quantum Gravity. The title was changed, minor modifications were made to the main text, the appendices were moved to the main text, and Figure 2 was expanded to include the classical OS collapse scenario
  • black holes
  • dust collapse
  • inflation
  • cosmic singularity
  • space-time: black hole
  • collapse
  • de Sitter
  • cosmological model: dust
  • causality
  • quantum mechanics