3+1 decomposition in the new action for the Einstein Theory of Gravitation

Abstract

The action of recently proposed formulation of Einstein Theory of Gravitation is written according to 3+1 decomposition of the space-time variables. The result coincides with known formulation of Dirac and Arnowitt-Deser-Misner.

References in corpus (2)

• New variables for the Einstein theory of gravitation
• New action for the Hilbert-Einstein equations

Cited by in corpus (9)

• Hawking into Unruh mapping for embeddings of hyperbolic type
• The approach to gravity as a theory of embedded surface
• First order representation of the Faddeev formulation of gravity
• Classification of global minimal embeddings for nonrotating black holes
• First order minisuperspace model for the Faddeev formulation of gravity
• Relation between quantum effects in General Relativity and embedding theory
• Dirac equation for embedded 4-geometries
• Discrete Faddeev action for the tetrad fields strongly varying along different coordinates
• Nontrivial isometric embeddings for flat spaces