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Descripción
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| Let $M\to N$ (resp.\ $C\to N$) be the fibre bundle of pseudo-Riemannian metrics of a given signature (resp.\ the bundle of linear connections) on an orientable connected manifold $N$. A geometrically defined class of first-order Ehresmann connections on the product fibre bundle $M\times _NC$ is determined such that, for every connection $\gamma $ belonging to this class and every $\mathrm{Diff}N$-invariant Lagrangian density $\Lambda $ on $J^1(M\times _NC)$, the corresponding covariant Hamiltonian $\Lambda ^\gamma $ is also $\mathrm{Diff}N$-invariant. The case of $\mathrm{Diff}N$-invariant second-order Lagrangian densities on $J^2M$ is also studied and the results obtained are then applied to Palatini and Einstein-Hilbert Lagrangians. | |
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Internacional
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Si |
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JCR del ISI
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Si |
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Título de la revista
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Advances in Theoretical and Mathematical Physics |
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ISSN
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1095-0761 |
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Factor de impacto JCR
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1,07 |
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Información de impacto
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Volumen
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16 |
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DOI
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Número de revista
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3 |
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Desde la página
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851 |
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Hasta la página
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886 |
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Mes
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JUNIO |
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Ranking
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PHYSICS, MATHEMATICAL |