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

Josef Janyška

Archivum Mathematicum (2014)

  • Volume: 050, Issue: 5, page 297-316
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Janyška, Josef. "Hidden symmetries of the gravitational contact structure of the classical phase space of general relativistic test particle." Archivum Mathematicum 050.5 (2014): 297-316. <http://eudml.org/doc/262181>.

@article{Janyška2014,
abstract = {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.},
author = {Janyška, Josef},
journal = {Archivum Mathematicum},
keywords = {phase space; gravitational contact phase structure; gravitational Jacobi phase structure; infinitesimal symmetry; hidden symmetry; Killing multivector field; phase space; gravitational contact phase structure; gravitational Jacobi phase structure; infinitesimal symmetry; hidden symmetry; Killing multivector field},
language = {eng},
number = {5},
pages = {297-316},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Hidden symmetries of the gravitational contact structure of the classical phase space of general relativistic test particle},
url = {http://eudml.org/doc/262181},
volume = {050},
year = {2014},
}

TY - JOUR
AU - Janyška, Josef
TI - Hidden symmetries of the gravitational contact structure of the classical phase space of general relativistic test particle
JO - Archivum Mathematicum
PY - 2014
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 050
IS - 5
SP - 297
EP - 316
AB - 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.
LA - eng
KW - phase space; gravitational contact phase structure; gravitational Jacobi phase structure; infinitesimal symmetry; hidden symmetry; Killing multivector field; phase space; gravitational contact phase structure; gravitational Jacobi phase structure; infinitesimal symmetry; hidden symmetry; Killing multivector field
UR - http://eudml.org/doc/262181
ER -

References

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