Relativistic elastica

Dereli, Tekin and Hartley, D. H. and Önder, M. and Tucker, Robin (1990) Relativistic elastica. Physics Letters B, 252 (4). pp. 601-604. ISSN 0370-2693

Abstract

We give a complete description of timelike relativistic elastica, non-geodesic spacetime surves that solve the Euler-Lagrange equations for a lagrangian that depends on the square of the acceleration of the curve as well as its lorentzian length.