New action for the Hilbert-Einstein equations

Abstract

The Hilbert-Einstein equations are derived in the formalism employing the imbedding of the space-time into linear 10-dimensional space. An extra antisymmetric tensor field is needed for this task.

6 pages; Several misprints and one mistake are corrected. New references are added

References in corpus (1)

• Canonical formulation of the embedded theory of gravity equivalent to Einstein's General Relativity

Cited by in corpus (9)

• Hawking into Unruh mapping for embeddings of hyperbolic type
• The approach to gravity as a theory of embedded surface
• 3+1 decomposition in the new action for the Einstein Theory of Gravitation
• New variables for the Einstein theory of gravitation
• First order representation of the Faddeev formulation of gravity
• Classification of global minimal embeddings for nonrotating black holes
• Relation between quantum effects in General Relativity and embedding theory
• Nontrivial isometric embeddings for flat spaces
• Dirac equation for embedded 4-geometries