Spherically symmetric static solutions of the Einstein equations with elastic matter source

DOI10.1023/A:1001875224949zbMath0968.83015arXivgr-qc/9810010OpenAlexW3104472246MaRDI QIDQ1585780

Jiseong Park

Publication date: 13 September 2001

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9810010

zbMATH Keywords

Einstein equationsspherically symmetric static distribution

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55)

Related Items (13)

Relativistic elasticity II ^* ⋮ Conformal transformations in general relativistic elasticity ⋮ Rotating elastic string loops in flat and black hole spacetimes: stability, cosmic censorship and the Penrose process ⋮ Studying conformally flat spacetimes with an elastic stress energy tensor using \(1+3\) formalism ⋮ The constraint equations of the Einstein-Vlasov-Maxwell system in the maximal-isotropic coordinates ⋮ Erratum to: General spherically symmetric elastic stars in relativity ⋮ Rigid elastic solids in relativity ⋮ Multi-body spherically symmetric steady states of Newtonian self-gravitating elastic matter ⋮ Relativistic elasticity of rigid rods and strings ⋮ Theorems on existence and global dynamics for the Einstein equations ⋮ General spherically symmetric elastic stars in relativity ⋮ Theorems on existence and global dynamics for the Einstein equations ⋮ Cylindrically symmetric static solutions of the Einstein field equations for elastic matter

Cites Work

• Relativistic elastomechanics as a Lagrangian field theory
• On the existence of rotating stars in general relativity
• Existence and properties of spherically symmetric static fluid bodies with a given equation of state
• Static solutions of the spherically symmetric Vlasov–Einstein system
• Foundations of general relativistic high-pressure elasticity theory

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