Thin Shell Dynamics and Equations of State
J.P. Krisch, E.N. Glass
TL;DR
This paper derives a relation connecting stress-energy and motion for accelerated Israel layers, generalizing the equation of state for geodesic collapse in Schwarzschild spacetimes.
Contribution
It introduces a generalized relation between stress-energy and motion for accelerated layers, extending previous models of geodesic collapse.
Findings
Derived a new relation for accelerated Israel layers.
Generalized the equation of state for collapsing layers.
Discussed configurations of linked layers.
Abstract
A relation between stress-energy and motion is derived for accelerated Israel layers. The relation, for layers between two Schwarzschild manifolds, generalizes the equation of state for geodesic collapse. A set of linked layers is discussed.
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