The Ehlers–Geroch theorem on geodesic motion in general relativity

DOI10.1142/S0219887815500346zbMath1315.83011OpenAlexW2066934992MaRDI QIDQ5247569

Miguel Bezares, Gonzalo Palomera, Daniel J. Pons, Enrique G. Reyes

Publication date: 24 April 2015

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887815500346

zbMATH Keywords

dominant energy conditiongeodesic motion\((3+1)\)-spacetime decompositionaveraged dominant energy condition

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Applications of local differential geometry to the sciences (53B50) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (1)

Conservation, inertia, and spacetime geometry

Cites Work

• A brief remark on energy conditions and the Geroch-Jang theorem
• Equation of motion of small bodies in relativity.
• On the motion of particles and strings, presymplectic mechanics, and the variational bicomplex
• The center-of-mass in Einsteins theory of gravitation
• The gravitational equations and the problem of motion
• The Analysis of Space-Time Singularities
• The motion of a body in Newtonian theories
• Spinor Structure of Space-Times in General Relativity. I
• Canonical Dynamics of Spinning Particles in Gravitational and Electromagnetic Fields
• The Large Scale Structure of Space-Time
• General Relativity

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