Collapsing Layers on Schwarzschild-Lemaitre Geodesics
J.P. Krisch, E.N. Glass
TL;DR
This paper analyzes the dynamics of collapsing Israel layers along Schwarzschild-Lemaitre geodesics, deriving a new equation of state that constrains the stress-density ratio in such collapse scenarios.
Contribution
It introduces a general equation of state for collapsing layers and establishes a new limit on the stress-density ratio in Schwarzschild-Lemaitre geodesic collapse.
Findings
Derived a general equation of state for collapsing layers.
Identified a new limit on stress-density ratio.
Found the equation of state is approximately polytropic at low pressure.
Abstract
We discuss Israel layers collapsing inward from rest at infinity along Schwarzschild-Lemaitre geodesics. The dynamics of the collapsing layer and its equation of state are developed. There is a general equation of state which is approximately polytropic in the limit of very low pressure. The equation of state establishes a new limit on the stress-density ratio.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.