Static self-gravitating elastic bodies in Einstein gravity

DOI10.1002/cpa.20230zbMath1140.83366arXivgr-qc/0611108OpenAlexW3102750987MaRDI QIDQ3506311

Lars Andersson, Robert Beig, Bernd G. Schmidt

Publication date: 12 June 2008

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0611108

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55)

Related Items (16)

Dynamical compact elastic bodies in general relativity ⋮ Relativistic elasticity II ^* ⋮ The Clebsch potential approach to fluid Lagrangians ⋮ Static Elasticity in a Riemannian Manifold ⋮ Rotating elastic string loops in flat and black hole spacetimes: stability, cosmic censorship and the Penrose process ⋮ Existence of axially symmetric static solutions of the Einstein-Vlasov system ⋮ Rotating elastic bodies in Einstein gravity ⋮ Ground states of self-gravitating elastic bodies ⋮ Rotating clouds of charged Vlasov matter in general relativity ⋮ Rigid elastic solids in relativity ⋮ Rotating, stationary, axially symmetric spacetimes with collisionless matter ⋮ On the axisymmetric metric generated by a rotating perfect fluid with the vacuum boundary ⋮ Relativistic elasticity of rigid rods and strings ⋮ The Einstein-Vlasov system/kinetic theory ⋮ Helical solutions in scalar gravity ⋮ Static Solutions to the Einstein--Vlasov System with a Nonvanishing Cosmological Constant

Cites Work

• Elliptic Partial Differential Equations of Second Order
• The Action Principle and Partial Differential Equations. (AM-146)
• Theorems on existence and global dynamics for the Einstein equations

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