Uniform acceleration in general relativity

DOI10.1007/S10714-015-1966-5zbMath1327.83023arXiv1602.03067OpenAlexW1772778082MaRDI QIDQ895674

Tzvi Scarr, Yaakov Friedman

Publication date: 4 December 2015

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

Full work available at URL: https://arxiv.org/abs/1602.03067

zbMATH Keywords

curved spacetimeLorentz-Abraham-Dirac equationtime dilationgeneralized Fermi-Walker transportuniform acceleration

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (8)

Solutions for uniform acceleration in general relativity ⋮ An extension of Poincaré group based on generalized Fermi–Walker coordinates ⋮ Gravitational magnetic curves on 3D Riemannian manifolds ⋮ A new approach for inextensible flows of binormal spherical indicatrices of magnetic curves ⋮ Accelerated observers and the notion of singular spacetime ⋮ Observers with constant proper acceleration, constant proper jerk, and beyond ⋮ On cosmological expansion and local physics ⋮ A new version of spherical magnetic curves in the de-Sitter space \(\mathcal S_1^2\)

Cites Work

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• Relativity in rotating frames. Relativistic physics in rotating reference frames
• Uniformly accelerated motion in general relativity: completeness of inextensible trajectories
• Classical Charged Particles
• Lorentz contraction, Bell's spaceships and rigid body motion in special relativity
• Length measurement in accelerated systems
• Making the relativistic dynamics equationcovariant: explicit solutions for motion under a constant force

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