Event Horizon Formation Time Bound in Black Hole Collapse
Analysis
This paper establishes a temporal bound on event horizon formation in black hole collapse, extending existing inequalities like the Penrose inequality. It demonstrates that the Schwarzschild exterior maximizes the formation time under specific conditions, providing a new constraint on black hole dynamics. This is significant because it provides a deeper understanding of black hole formation and evolution, potentially impacting our understanding of gravitational physics.
Key Takeaways
Reference
“The Schwarzschild exterior maximizes the event horizon formation time $ΔT_{\text{eh}}=\frac{19}{6}m$ among all asymptotically flat, static, spherically-symmetric black holes with the same ADM mass $m$ that satisfy the weak energy condition.”