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@article{50361, author = {Cremaschini, Claudio and Tessarotto, Massimo}, article_location = {DE - Spolková republika Německo}, article_number = {6}, doi = {http://dx.doi.org/10.1140/epjp/i2015-15123-4}, keywords = {synchronous variational principle; classical field theory; general relativity}, language = {eng}, issn = {2190-5444}, journal = {The European Physical Journal Plus}, title = {Synchronous Lagrangian variational principles in General Relativity}, url = {https://link.springer.com/article/10.1140/epjp/i2015-15123-4}, volume = {130}, year = {2015} }
TY - JOUR ID - 50361 AU - Cremaschini, Claudio - Tessarotto, Massimo PY - 2015 TI - Synchronous Lagrangian variational principles in General Relativity JF - The European Physical Journal Plus VL - 130 IS - 6 SP - "123-1"-"123-21" EP - "123-1"-"123-21" SN - 21905444 KW - synchronous variational principle KW - classical field theory KW - general relativity UR - https://link.springer.com/article/10.1140/epjp/i2015-15123-4 N2 - 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 ER -
CREMASCHINI, Claudio and Massimo TESSAROTTO. Synchronous Lagrangian variational principles in General Relativity. \textit{The European Physical Journal Plus}. DE - Spolková republika Německo, 2015, vol.~130, No~6, p.~''123-1''-''123-21'', 21 pp. ISSN~2190-5444. Available from: https://dx.doi.org/10.1140/epjp/i2015-15123-4.
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