Relations between constants of motion and conserved functions

Josef Janyška

Address: Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, 611 37 Brno, Czech Republic


Abstract: We study relations between functions on the cotangent bundle of a spacetime which are constants of motion for geodesics and functions on the odd-dimensional phase space conserved by the Reeb vector fields of geometrical structures generated by the metric and an electromagnetic field.

AMSclassification: primary 70H40; secondary 70H45, 70H33, 70G45, 58A20.

Keywords: phase space, infinitesimal symmetry, hidden symmetry, gravitational contact phase structure, almost-cosymplectic-contact phase structure, Killing multi-vector field, Killing–Maxwell multi-vector field, function constant of motions, conserved function.

DOI: 10.5817/AM2015-5-297