Synchronous Lagrangian variational principles in General Relativity

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Synchronous Lagrangian variational principles in General Relativity

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

Synchronous Lagrangian variational principles in General Relativity

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

—

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

The European Physical Journal Plus

ISSN

2190-5444

e-ISSN

—

Svazek periodika

130

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

21

Strana od-do

"123-1"-"123-21"

Kód UT WoS článku

000365730900001

EID výsledku v databázi Scopus

2-s2.0-84932621950