RT Journal Article T1 Einstein equations in vacuum as integrability conditions A1 Chinea Trujillo, Francisco Javier AB 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. PB American Physical Society SN 0031-9007 YR 1984 FD 1984 LK https://hdl.handle.net/20.500.14352/64978 UL https://hdl.handle.net/20.500.14352/64978 LA eng NO ©1984 The American Physical Society.The author wishes to thank Dr. F. Guil for numerous discussions. Partial financial support by Comisión Asesora de Investigación Científica y Técnica is gratefully acknowledged. NO Comisión Asesora de Investigación Científica y Técnica DS Docta Complutense RD 9 abr 2025