Unchanged direction motion in general relativity: The problems of prescribing acceleration and the extensibility of trajectories

DOI10.1063/1.4935854zbMath1331.83004OpenAlexW2177144203MaRDI QIDQ3457160

Pedro J. Torres, Alfonso Romero, Daniel de la Fuente

Publication date: 10 December 2015

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

Full work available at URL: https://semanticscholar.org/paper/f9ff1989839d4b74b84ce5e0328ac37bd91a2923

zbMATH Keywords

initial value problemuniformly accelerated motiongeneralized Robertson-Walker spacetimesplane wave spacetimeunchanged direction (UD) motion

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Space-time singularities, cosmic censorship, etc. (83C75) Observational and experimental questions in relativity and gravitational theory (83B05) Equations of motion in general relativity and gravitational theory (83C10) Gravitational waves (83C35)

Related Items (5)

A new relativistic extension of the harmonic oscillator satisfying an isochronicity principle ⋮ Solutions for uniform acceleration in general relativity ⋮ Gravitational magnetic curves on 3D Riemannian manifolds ⋮ A new approach for inextensible flows of binormal spherical indicatrices of magnetic curves ⋮ A new version of spherical magnetic curves in the de-Sitter space \(\mathcal S_1^2\)

Cites Work

• Unnamed Item
• Unnamed Item
• On curves and submanifolds in an indefinite-Riemannian manifold
• On the geometry of generalized Robertson-Walker spacetimes: geodesics.
• On general plane fronted waves. Geodesics
• Completeness of the trajectories of particles coupled to a general force field
• On circles and spheres in Riemannian geometry
• Uniformly accelerated motion in general relativity: completeness of inextensible trajectories
• A simple characterization of generalized Robertson-Walker spacetimes
• Reduction of the codimension of an isometric immersion
• Hyperbolic Motion in Curved Space Time
• General Relativity for Mathematicians
• Spacelike hypersurfaces of constant mean curvature in certain spacetimes
• Completeness of Compact Lorentz Manifolds Admitting a Timelike Conformal Killing Vector Field
• Making the relativistic dynamics equationcovariant: explicit solutions for motion under a constant force

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