Publication details

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

Authors

JANYŠKA Josef

Year of publication 2014
Type Article in Periodical
Magazine / Source Archivum Mathematicum
MU Faculty or unit

Faculty of Science

Citation
Web http://www.emis.de/journals/AM/14-5
Doi http://dx.doi.org/10.5817/AM2014-5-297
Field General mathematics
Keywords phase space; gravitational contact phase structure; gravitational Jacobi phase structure; infinitesimal symmetry; hidden symmetry; Killing multivector field
Attached files
Description The phase space of general relativistic test particle is defined as the 1-jet space of motions. A Lorentzian metric defines the canonical contact structure on the odd-dimensional phase space. In the paper we study infinitesimal symmetries of the gravitational contact phase structure which are not generated by spacetime infinitesimal symmetries, i.e. they are hidden symmetries. We prove that Killing multivector fields admit hidden symmetries of the gravitational contact phase structure and we give the explicit description of such hidden symmetries.
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