New variables for the Einstein theory of gravitation

Abstract

The set of 10 covariant vector fields is taken as basic variables to describe the gravitational field. Metric $g_{\mu \nu }$ is a composite field. A possibility for the gravitational constant to be described as a condensate of additional scalar field is discussed.

9 pages

References in corpus (2)

• Canonical formulation of the embedded theory of gravity equivalent to Einstein's General Relativity
• New action for the Hilbert-Einstein equations

Cited by in corpus (8)

• 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
• First order representation of the Faddeev formulation of gravity
• Classification of global minimal embeddings for nonrotating black holes
• Embeddings of the black holes in a flat space
• Nontrivial isometric embeddings for flat spaces
• Dirac equation for embedded 4-geometries