Einstein Equations in Vacuum as Integrability Conditions

F. J. Chinea
Phys. Rev. Lett. 52, 322 – Published 30 January 1984
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Abstract

The Einstein equations describing gravitational fields in vacuum are written as a compact exterior system of spinor-valued forms. A second system of equations is given, such that their integrability conditions are satisfied by virtue of the Einstein equations. This suggests the possibility of integrating the field equations by means of an inversetype procedure.

  • Received 21 November 1983

DOI:https://doi.org/10.1103/PhysRevLett.52.322

©1984 American Physical Society

Authors & Affiliations

F. J. Chinea

  • Departamento de Métodos Matemáticos de la Física, Facultad de Ciencias Físicas, Universidad de Madrid, Madrid-3, Spain

Comments & Replies

Comment on "Einstein Equations in Vacuum as Integrability Conditions"

K. P. Tod
Phys. Rev. Lett. 54, 1594 (1985)

Chinea Responds

F. J. Chinea
Phys. Rev. Lett. 54, 1595 (1985)

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Issue

Vol. 52, Iss. 5 — 30 January 1984

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