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@article{778444,
author = {Janyška, Josef and Modugno, Marco},
article_number = {5},
keywords = {Spacetime; phase space; spacetime connection; phase connection; Schouten bracket; Froelicher Nijenhuis bracket; symplectic structure; Poisson structure; Jacobi structure},
language = {eng},
issn = {0219-8878},
journal = {International Journal of Geometrical Methods in Modern Physics},
title = {Geometric structures of the classical general relativistic phase space},
url = {http://www.worldscinet.com/ijgmmp/ijgmmp.shtml},
volume = {5},
year = {2008}
}
TY - JOUR
ID - 778444
AU - Janyška, Josef - Modugno, Marco
PY - 2008
TI - Geometric structures of the classical general relativistic phase space
JF - International Journal of Geometrical Methods in Modern Physics
VL - 5
IS - 5
SP - 699-754
EP - 699-754
PB - World Scientific
SN - 02198878
KW - Spacetime
KW - phase space
KW - spacetime connection
KW - phase connection
KW - Schouten bracket
KW - Froelicher Nijenhuis bracket
KW - symplectic structure
KW - Poisson structure
KW - Jacobi structure
UR - http://www.worldscinet.com/ijgmmp/ijgmmp.shtml
N2 - This paper is concerned with basic geometric properties of the phase space of a classical general relativistic particle, regarded as the 1st jet space of motions, i.e. as the 1st jet space of timelike 1--dimensional submanifolds of spacetime. This setting allows us to skip constraints. Our main goal is to determine the geometric conditions by which the Lorentz metric and a connection of the phase space yield contact and Jacobi structures. In particular, we specialise these conditions to the cases when the connection of the phase space is generated by the metric and an additional tensor. Indeed, the case generated by the metric and the electromagnetic field is included, as well.
ER -
JANYŠKA, Josef a Marco MODUGNO. Geometric structures of the classical general relativistic phase space. \textit{International Journal of Geometrical Methods in Modern Physics}. World Scientific, 2008, roč.~5, č.~5, s.~699-754. ISSN~0219-8878.
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