Synchronous Lagrangian variational principles in General Relativity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F15%3A%230005481" target="_blank" >RIV/47813059:19240/15:#0005481 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1140%2Fepjp%2Fi2015-15123-4" target="_blank" >http://link.springer.com/article/10.1140%2Fepjp%2Fi2015-15123-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epjp/i2015-15123-4" target="_blank" >10.1140/epjp/i2015-15123-4</a>
Alternative languages
Result language
angličtina
Original language name
Synchronous Lagrangian variational principles in General Relativity
Original language description
The problem of formulating synchronous variational principles in the context of General Relativity is discussed. Based on the analogy with classical relativistic particle dynamics, the existence of variational principles is pointed out in relativistic classical field theory which are either asynchronous or synchronous. The historical Einstein-Hilbert and Palatini variational formulations are found to belong to the first category. Nevertheless, it is shown that an alternative route exists which permits one to cast these principles in terms of equivalent synchronous Lagrangian variational formulations. The advantage is twofold. First, synchronous approaches allow one to overcome the lack of gauge symmetry of the asynchronous principles. Second, the property of manifest covariance of the theory is also restored at all levels, including the symbolic Euler-Lagrange equations, with the variational Lagrangian density being now identified with a 4-scalar. As an application, a joint synchronous
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
The European Physical Journal Plus
ISSN
2190-5444
e-ISSN
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Volume of the periodical
130
Issue of the periodical within the volume
6
Country of publishing house
DE - GERMANY
Number of pages
21
Pages from-to
"123-1"-"123-21"
UT code for WoS article
000365730900001
EID of the result in the Scopus database
2-s2.0-84932621950