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Vacuum Einstein equations in terms of curvature forms

Obukhov, YN; Tertychniy, SI; (1996) Vacuum Einstein equations in terms of curvature forms. CLASSICAL QUANT GRAV , 13 (6) 1623 - 1640.

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Abstract

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 the non-vanishing cubic invariant of the conformal curvature spinor. The complete set of algebraic and differential identities connecting particular equations is presented and their consistency conditions are analysed.

Type:Article
Title:Vacuum Einstein equations in terms of curvature forms
Keywords:YANG-MILLS THEORY, GAUGE-INVARIANT VARIABLES, GENERAL-RELATIVITY, GRAVITATIONAL INSTANTONS, SPATIAL GEOMETRY, CONNECTION, GRAVITY, FORMULATION
UCL classification:UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics

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