The Black Hole Formation -- Null Geodesic Correspondence (2404.02801v3)
Abstract: We provide evidence for a correspondence between the formation of black holes and the stability of circular null geodesics around the collapsing perturbation. We first show that the critical threshold of the compaction function to form a black hole in radiation is well approximated by the critical threshold for the appearance of the first unstable circular orbit in a spherically symmetric background. We also show that the critical exponent in the scaling law of the primordial black hole mass close to the threshold is set by the inverse of the Lyapunov coefficient of the unstable orbits when a self-similar stage is developed close to criticality.
- R. Narayan, New J. Phys. 7, 199 (2005), arXiv:gr-qc/0506078 .
- S. L. Shapiro and S. A. Teukolsky, Black holes, white dwarfs and neutron stars. The physics of compact objects (1983).
- W. H. Press, apjl 170, L105 (1971).
- K. D. Kokkotas and B. G. Schmidt, Living Rev. Rel. 2, 2 (1999), arXiv:gr-qc/9909058 .
- C. J. Goebel, apjl 172, L95 (1972).
- V. Ferrari and B. Mashhoon, Phys. Rev. D 30, 295 (1984).
- B. Mashhoon, Phys. Rev. D 31, 290 (1985).
- E. Berti and K. D. Kokkotas, Phys. Rev. D 71, 124008 (2005), arXiv:gr-qc/0502065 .
- N. J. Cornish and J. J. Levin, Class. Quant. Grav. 20, 1649 (2003), arXiv:gr-qc/0304056 .
- F. Pretorius and D. Khurana, Class. Quant. Grav. 24, S83 (2007), arXiv:gr-qc/0702084 .
- E. Bagui et al. (LISA Cosmology Working Group), (2023), arXiv:2310.19857 [astro-ph.CO] .
- M. W. Choptuik, Phys. Rev. Lett. 70, 9 (1993).
- C. R. Evans and J. S. Coleman, Phys. Rev. Lett. 72, 1782 (1994).
- I. Musco, Phys. Rev. D 100, 123524 (2019), arXiv:1809.02127 [gr-qc] .
- A. Ianniccari et al., (in preparation).
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.
