Forces unification in the framework of transitive Lie algebroids

DOI10.1007/S10773-014-2357-5zbMath1327.81294OpenAlexW2018882973MaRDI QIDQ890351

N. E. Zubov

Publication date: 10 November 2015

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-014-2357-5

zbMATH Keywords

metriccurvatureLie algebroidsgravitationunificationfield equationconnection

Mathematics Subject Classification ID

Unified quantum theories (81V22) Gravitational interaction in quantum theory (81V17) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items (8)

BRST cohomology is Lie algebroid cohomology ⋮ Lie algebroids and the geometry of off-shell BRST ⋮ Semi-symmetric connection formalism for unification of gravity and electromagnetism ⋮ Graded Lie algebroids: a framework for geometrization of matter and forces unification ⋮ Forms and Chern classes on Hermitian Lie algebroids ⋮ A geometric framework for unification of gravity and electromagnetism ⋮ On contact and symplectic Lie algebroids ⋮ DIRAC OPERATORS ON LIE ALGEBROIDS

Cites Work

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• Geometrization of mass in general relativity
• Riemannian geometry of Lie algebroids
• Application of Lie algebroid structures to unification of Einstein and Yang-Mills field equations
• Formulation of gauge theories on transitive Lie algebroids
• On Poisson Realizations of Transitive Lie Algebroids

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