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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
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
Summary:
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.
References:
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