Covariant first-order Lagrangians, energy-density and superpotentials in general relativity

DOI10.1007/BF00757808zbMath0713.53055OpenAlexW2063466152MaRDI QIDQ749902

Marco Ferraris, Mauro Francaviglia

Publication date: 1990

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00757808

zbMATH Keywords

black holesLagrangiansuper potential

Mathematics Subject Classification ID

Black holes (83C57) Geometrodynamics and the holographic principle (83E05) Applications of global differential geometry to the sciences (53C80)

Related Items

Energy-momentum complex for nonlinear gravitational Lagrangians in the first-order formalism ⋮ First-order equivalent to Einstein-Hilbert Lagrangian ⋮ Second-order Lagrangians admitting a first-order Hamiltonian formalism ⋮ The energy–momentum complex in non-local gravity ⋮ Two-spinor formulation of first-order gravity coupled to Dirac fields ⋮ New superpotentials in general relativity ⋮ Quasi-local energy-momentum and angular momentum in general relativity ⋮ Quasi-local energy-momentum and angular momentum in gr: a review article ⋮ About Boundary Terms in Higher Order Theories ⋮ Metric-affine gravity and the Nester-Witten 2-form ⋮ Covariant first-order Lagrangians, energy-density and superpotentials in general relativity ⋮ THE RELATIVE ENERGY OF HOMOGENEOUS AND ISOTROPIC UNIVERSES FROM VARIATIONAL PRINCIPLES ⋮ Remarks on Noether charges and black holes entropy ⋮ The entropy of the Taub-Bolt solution

Cites Work

• Unnamed Item
• Nonlinear gravitational Lagrangians
• Covariant first-order Lagrangians, energy-density and superpotentials in general relativity
• Variational formulation of general relativity from 1915 to 1925 Palatini's method discovered by Einstein in 1925
• A geometrical version of the higher order Hamilton formalism in fibred manifolds
• On a new variational principle in general relativity and the energy of the gravitational field
• A symplectic framework for field theories
• Role of surface integrals in the Hamiltonian formulation of general relativity
• The canonical variables, the symplectic structure and the initial value formulation of the generalized Einstein-Cartan theory of gravity
• Über die Ausdrücke der Gesamtenergie und des Gesamtimpulses eines materiellen Systems in der allgemeinen Relativitätstheorie
• Covariant Conservation Laws in General Relativity
• Conservation Laws in General Relativity
• Consistency of the Canonical Reduction of General Relativity
• On the Legendre transformation for a class of nonregular higher-order Lagrangian field theories
• Energy-momentum tensors and stress tensors in geometric field theories
• The Large Scale Structure of Space-Time
• General Relativity and Flat Space. I