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Black Hole Formation-Null Geodesic Correspondence.

Andrea Ianniccari1, Antonio J Iovino1,2,3, Alex Kehagias4

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This summary is machine-generated.

Black hole formation is linked to the stability of circular null geodesics. Critical thresholds for black hole formation in radiation match the appearance of unstable orbits in spherical symmetry, guiding primordial black hole mass scaling.

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Area of Science:

  • Astrophysics
  • General Relativity
  • Cosmology

Background:

  • Black hole formation is a key process in astrophysics.
  • Understanding the critical conditions for gravitational collapse is crucial.
  • The role of spacetime geometry in black hole thermodynamics is an active area of research.

Purpose of the Study:

  • To establish a link between black hole formation and geodesic stability.
  • To determine the critical threshold for black hole formation in radiation-dominated universes.
  • To investigate the critical exponent in primordial black hole mass scaling.

Main Methods:

  • Analysis of collapsing perturbations.
  • Spherical symmetry analysis of null geodesics.
  • Lyapunov coefficient calculation for unstable orbits.

Main Results:

  • A correspondence between black hole formation and the stability of circular null geodesics is demonstrated.
  • The critical threshold for black hole formation in radiation is approximated by the critical threshold for unstable circular orbits.
  • The critical exponent for primordial black hole mass is determined by the Lyapunov coefficient of unstable orbits near criticality.

Conclusions:

  • The stability of null geodesics provides insights into black hole formation mechanisms.
  • This work offers a new perspective on the critical phenomena in gravitational collapse.
  • The findings have implications for understanding the early universe and primordial black hole populations.