Cosmic inflation prevents singularity formation in collapse into a Hayward black hole
Abstract: 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.
- Abhay Ashtekar and Martin Bojowald, ‘Black hole evaporation: A Paradigm,’ Class. Quant. Grav. 22, 3349–3362 (2005), arXiv:gr-qc/0504029 .
- Eric Poisson and W. Israel, ‘Structure of the Black Hole Nucleus,’ Class. Quant. Grav. 5, L201–L205 (1988).
- I. Dymnikova, ‘Vacuum nonsingular black hole,’ Gen. Rel. Grav. 24, 235–242 (1992).
- Sean A. Hayward, ‘Formation and evaporation of regular black holes,’ Phys. Rev. Lett. 96, 031103 (2006), arXiv:gr-qc/0506126 .
- Valeri P. Frolov, ‘Notes on nonsingular models of black holes,’ Phys. Rev. D 94, 104056 (2016), arXiv:1609.01758 [gr-qc] .
- M. Bobula, ‘Radiation in quantum gravitational collapse,’ https://indico.cern.ch/event/1100970/, LOOPS’22 (18-22 July 2022), ENS de Lyon.
- Michał Bobula and Tomasz Pawłowski, ‘Rainbow Oppenheimer-Snyder collapse and the entanglement entropy production,’ Phys. Rev. D 108, 026016 (2023), arXiv:2303.12708 [gr-qc] .
- Luca Cafaro and Jerzy Lewandowski, ‘Status of Birkhoff’s theorem in polymerized semiclassical regime of Loop Quantum Gravity,’ (2024), arXiv:2403.01910 [gr-qc] .
- Eric Poisson, A Relativist’s Toolkit: The Mathematics of Black-Hole Mechanics (Cambridge University Press, 2009).
- Michał Bobula and Tomasz Pawłowski, ‘to appear,’ (2024).
- Alexei A. Starobinsky, ‘A New Type of Isotropic Cosmological Models Without Singularity,’ Phys. Lett. B 91, 99–102 (1980).
- Eric Poisson and W. Israel, ‘Inner-horizon instability and mass inflation in black holes,’ Phys. Rev. Lett. 63, 1663–1666 (1989).
- J. C. Schindler and A. Aguirre, ‘Algorithms for the explicit computation of Penrose diagrams,’ Class. Quant. Grav. 35, 105019 (2018), arXiv:1802.02263 [gr-qc] .
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
