General Relativity and Gravitation

, Volume 26, Issue 7, pp 637–645 | Cite as

Energy-momentum complex for nonlinear gravitational Lagrangians in the first-order formalism

  • Andrzej Borowiec
  • Marco Ferraris
  • Mauro Francaviglia
  • Igor Volovich
Research Articles


It has been recently shown that there is universality of Einstein equations, in the first-order (Palatini) formalism, in the sense that for a generic nonlinear Lagrangian depending only on the scalar curvature of a metric and a torsionless connection one always gets Einstein equations. In this paper the energy-density flow for nonlinear gravitational Lagrangians is investigated in this formalism. It is shown that in the generic case the energy-momentum complex does not depend on the Lagrangian and is in fact equal to the Komar complex, known in the purely metric formalism for the standard linear Hilbert Lagrangian.


Differential Geometry Scalar Curvature Einstein Equation Standard Linear Torsionless Connection 
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Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • Andrzej Borowiec
    • 1
  • Marco Ferraris
    • 2
  • Mauro Francaviglia
    • 1
  • Igor Volovich
    • 1
  1. 1.Istituto di Fisica Matematica “J.-L. Lagrange”Università di TorinoTorinoItaly
  2. 2.Dipartimento di MatematicaUniversità di Cagliari Via Ospedale 72CagliariItaly

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