Compatibility of rigid motions with the relativistic incompressibility condition

DOI10.1063/1.525847zbMath0562.73007OpenAlexW1969333177MaRDI QIDQ3675595

J. Olivert, Victor Pascual Del Olmo

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525847

zbMATH Keywords

compatibilityabsence of mechanical power originated by internal rotationalmost-thermodynamic material schemesBorn-rigid motionhypoelastic-Carter and Quintanahypoelastic-Mauginhypoelastic-Syngerelativistic incompressibility conditionvanishing of the relativistic stress tensor spatial variation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Thermodynamics in solid mechanics (74A15) General relativity (83C99) Equations of motion in general relativity and gravitational theory (83C10) Elastic materials (74B99) Dynamics of a rigid body and of multibody systems (70E99)

Related Items (4)

Compatibility of weak rigidity with some types of elastic schemes ⋮ Relation between quasirigidity and \(L\)-rigidity in space-times of constant curvature and weak fields ⋮ Rigid motions relative to an observer: \(L\)-rigidity ⋮ Weak rigidity in the PPN formalism

Cites Work

• A theory of elasticity in general relativity
• On the local simultaneity in general relativity
• Incompressibility in relativistic continuous media
• On the covariant equations of the relativistic electrodynamics of continua. I. General equations
• Foundations of general relativistic high-pressure elasticity theory

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