Archive for Rational Mechanics and Analysis

, Volume 75, Issue 4, pp 349–372

The principle of minimal gravitational coupling

  • Ian M. Anderson

DOI: 10.1007/BF00256383

Cite this article as:
Anderson, I.M. Arch. Rational Mech. Anal. (1981) 75: 349. doi:10.1007/BF00256383


The principle of minimal gravitational coupling requires that the total Lagrangian for the field equations of general relativity consist of two additive parts, one part corresponding to the free gravitational Lagrangian and the other part to external source fields in curved spacetime. For source fields characterized by scalars, vectors and two-component spinors we prove that this additive decomposition of the total Lagrangian is an inevitable consequence of certain very general assumptions concerning the Euler-Lagrange expressions arising from the total Lagrangian.

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Ian M. Anderson
    • 1
  1. 1.Department of MathematicsUtah State UniversityLogan

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