On the Buchdahl inequality for spherically symmetric static shells

DOI10.1007/s00220-007-0283-6zbMath1121.83007arXivgr-qc/0605097OpenAlexW3103200576MaRDI QIDQ2642298

Håakan Andréasson

Publication date: 20 August 2007

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0605097

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55)

Related Items (7)

Sharp bounds on the critical stability radius for relativistic charged spheres ⋮ On static shells and the Buchdahl inequality for the spherically symmetric Einstein-Vlasov system ⋮ Models for self-gravitating photon shells and geons ⋮ Sharp bounds on \(2m/r\) of general spherically symmetric static objects ⋮ The Einstein-Vlasov system/kinetic theory ⋮ Existence of Static Solutions of the Einstein--Vlasov--Maxwell System and the Thin Shell Limit ⋮ Existence of steady states of the massless Einstein-Vlasov system surrounding a Schwarzschild black hole

Cites Work

• Unnamed Item
• On static shells and the Buchdahl inequality for the spherically symmetric Einstein-Vlasov system
• General Relativistic Fluid Spheres
• On the steady states of the spherically symmetric Einstein–Vlasov system
• Static shells for the Vlasov-Poisson and Vlasov-Einstein systems
• Compact support of spherically symmetric equilibria in non-relativistic and relativistic galactic dynamics
• Massive spheres in general relativity
• A numerical investigation of the stability of steady states and critical phenomena for the spherically symmetric Einstein–Vlasov system

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