AI Article Synopsis
- * Our findings show that the critical compaction threshold needed for black hole formation closely matches the threshold for the first unstable circular orbit in a spherically symmetric setting.
- * We also discovered that the critical exponent related to primordial black hole mass near this threshold is determined by the inverse of the Lyapunov coefficient of the unstable orbits during a self-similar phase close to criticality.
Article 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.
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| http://dx.doi.org/10.1103/PhysRevLett.133.081401 | DOI Listing |
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