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The phase space of general relativistic test particle is defined as the 1-jetspace of motions. A Lorentzian metric defines the canonical contact structureon the odd-dimensional phase space. In the paper we study infinitesimalsymmetries of the gravitational contact phase structure which are not generatedby spacetime infinitesimal symmetries, i.e. they are hidden symmetries. Weprove that Killing multivector fields admit hidden symmetries of thegravitational contact phase structure and we give the explicit description ofsuch hidden symmetries.

Hidden symmetries of the gravitational contact structure of the classical phase space of general relativistic test particle