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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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