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@article{1213404, author = {Janyška, Josef}, article_location = {Brno}, article_number = {5}, doi = {http://dx.doi.org/10.5817/AM2014-5-297}, keywords = {phase space; gravitational contact phase structure; gravitational Jacobi phase structure; infinitesimal symmetry; hidden symmetry; Killing multivector field}, language = {eng}, issn = {0044-8753}, journal = {Archivum Mathematicum}, title = {Hidden symmetries of the gravitational contact structure of the classical phase space of general relativistic test particle}, url = {http://www.emis.de/journals/AM/14-5}, volume = {50}, year = {2014} }
TY - JOUR ID - 1213404 AU - Janyška, Josef PY - 2014 TI - Hidden symmetries of the gravitational contact structure of the classical phase space of general relativistic test particle JF - Archivum Mathematicum VL - 50 IS - 5 SP - 297-316 EP - 297-316 PB - MU Brno SN - 00448753 KW - phase space KW - gravitational contact phase structure KW - gravitational Jacobi phase structure KW - infinitesimal symmetry KW - hidden symmetry KW - Killing multivector field UR - http://www.emis.de/journals/AM/14-5 N2 - 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. ER -
JANYŠKA, Josef. Hidden symmetries of the gravitational contact structure of the classical phase space of general relativistic test particle. \textit{Archivum Mathematicum}. Brno: MU Brno, 2014, vol.~50, No~5, p.~297-316. ISSN~0044-8753. Available from: https://dx.doi.org/10.5817/AM2014-5-297.
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