Canonical formulation of embedding gravity in a form of general relativity with dark matter

DOI10.1134/s0202289323020093zbMath1530.83055arXiv2207.13654OpenAlexW4379982395MaRDI QIDQ6165439

S. A. Paston, Tatyana Zaitseva

Publication date: 31 July 2023

Published in: Gravitation \& Cosmology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.13654

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Kaluza-Klein and other higher-dimensional theories (83E15) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Constrained dynamics, Dirac's theory of constraints (70H45) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Étale and flat extensions; Henselization; Artin approximation (13B40) Dark matter and dark energy (83C56)

Related Items

Dark matter as a gravitational effect in the embedding theory approach, Hamilton-Jacobi framework for Regge-Teitelboim gravity

Cites Work

• Gravity as a field theory in flat space-time
• Constraint algebra for Regge-Teitelboim formulation of gravity
• Republication of: The dynamics of general relativity
• Algebra of implicitly defined constraints for gravity as the general form of embedding theory
• Canonical formulation of the embedded theory of gravity equivalent to Einstein's general relativity
• FROM THE EMBEDDING THEORY TO GENERAL RELATIVITY IN A RESULT OF INFLATION
• Ostrogradski approach for the Regge-Teitelboim type cosmology
• Geodetic brane gravity
• On the integrability conditions for extended objects
• Gravitation a la string
• Constraint-free theories of gravitation