The brachistochrone problem in a stationary space-time

DOI10.1063/1.529472zbMath0771.49018OpenAlexW1984223513WikidataQ125056543 ScholiaQ125056543MaRDI QIDQ3987409

Volker Perlick

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529472

zbMATH Keywords

brachistochrone problemstationary space-time

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Variational principles of physics (49S05)

Related Items

Electromagnetic and gravitational interactions from Lagrangian mechanics, Shortening null geodesics in Lorentzian manifolds. Applications to closed light rays, An approach to the relativistic brachistochrone problem by sub-Riemannian geometry, On the Jacobi metric for a general Lagrangian system, An existence theory for relativistic brachistochrones in stationary space–times, Jacobi-Maupertuis Randers-Finsler metric for curved spaces and the gravitational magnetoelectric effect, The brachistochrone problem with frictional forces, The arrival time brachistochrones in general relativity.

Cites Work

• Optical reference geometry for stationary and static dynamics
• The brachistochrone in almost flat space
• On Fermat's principle in general relativity. I. The general case
• On Fermat's principle in general relativity. II. The conformally stationary case