Vacuum Einstein Equations in Terms of Curvature Forms

Details Vacuum Einstein Equations in Terms of Curvature Forms Vacuum Einstein Equations in Terms of Curvature Forms

1996-03-24

arxiv.org/abs/gr-qc/9603040v1

Class.Quant.Grav. 13 (1996) 1623-1640

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

30 pages, RevTex

Scientific paper

10.1088/0264-9381/13/6/025

A closed explicit representation of the vacuum Einstein equations in terms of
components of curvature 2-forms is given. The discussion is restricted to the
case of non-vanishing cubic invariant of conformal curvature spinor. The
complete set of algebraic and differential identities connecting particular
equations is presented and their consistency conditions are analyzed.

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