Expansions of the affinity, metric and geodesic equations in Fermi normal coordinates about a geodesic

DOI10.1063/1.524292zbMath0415.53019OpenAlexW2073742200MaRDI QIDQ3051051

Wei-Tou Ni, Wann-Quan Li

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524292

zbMATH Keywords

affinityRiemannian manifoldgeodesic equationsexpansionsFermi normal coordinates

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Local Riemannian geometry (53B20)

Related Items (6)

Rigid covariance, equivalence principle and Fermi rigid coordinates: gravitational waves ⋮ GENERALIZED RADAR 4-COORDINATES AND EQUAL-TIME CAUCHY SURFACES FOR ARBITRARY ACCELERATED OBSERVERS ⋮ ALL ORDER COVARIANT TUBULAR EXPANSION ⋮ Fermi coordinates, simultaneity, and expanding space in Robertson-Walker cosmologies ⋮ A statistical mechanical problem in Schwarzschild spacetime ⋮ Cotangent bundle approach to noninertial frames

Cites Work

• A modified equation of geodesic deviation
• Coupled inertial and gravitational effects in the proper reference frame of an accelerated, rotating observer
• Fermi Normal Coordinates and Some Basic Concepts in Differential Geometry

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