A gravitational Lagrangian in the Newman-Penrose formalism

Physics

Scientific paper

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Field Theory (Physics), Gravitation Theory, Gravitational Fields, Differential Equations, Einstein Equations, Independent Variables, Lagrange Multipliers, Tetrad Theory, Variational Principles

Scientific paper

A Lagrangian density is presented from which all the gravitational-field
equations in the spin-coefficient formalism, including the Einstein
condition, can be obtained. Two ways to deduce the Einstein condition
from a variational procedure are discussed.

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