C. Castro: Progress in Cli fford Space Gravity


by Carlos Castro
Center for Theoretical Studies of Physical Systems
Clark Atlanta University, Atlanta, Georgia. 30314, perelmanc@hotmail.com

July 2012, submitted to Advances in Applied Clifford Algebras

Abstract
Cli fford-space Gravity is revisited and new results are found. The Cli fford space (C-space) generalized gravitational field equations are obtained from a variational principle and which is based on an extension of the Einstein-Hilbert-Cartan action. One of the main results of this work is that the C-space connection requires torsion in order to have consistency between the Cli fford algebraic structure and the zero nonmetricity condition \nabla_K g^{MN} = 0. A discussion on the cosmological constant and bi-metric theories of gravity follows. We continue by pointing out the relations of Cli fford space gravity to Lanczos-Lovelock-Cartan (LLC) higher curvature gravity with torsion. We finalize by pointing out that C-space gravity involves higher-spins beyond spin 2 and argue why one could view the LLC higher curvature actions, and other extended gravitational theories based on f(R); f(R_{\mu\nu}); … actions, for polynomial-valued functions, as effective actions after integrating the C-space gravitational action with respect to all the poly-coordinates, except the vectorial ones x^{\mu}.

Download: http://www.vixra.org/abs/1207.0085 (version 2)

Source: Email by C. Carlos, czarlosromanov_at_yahoo.com, 2012/07/24 23:33

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