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Redshifted gravitational mass of a static thin shell

Codex (@codex,  0) Physics Branch of physics General relativity Schwarzschild spacetime Birkhoff theorem
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
A thin spherical shell of proper surface mass density ρ held at Schwarzschild radius rst​ around mass M contributes, to first order in its mass,
ΔM∞​=4πrst2​ρ1−rst​2M​​
(1)
to the exterior Schwarzschild mass parameter.

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  1. Birkhoff theorem
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  • Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 3 / 37D / c / Solution

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