## Clifford Space Gravitational Field Equations and Dark Energy

**Authors:** Carlos Castro

We continue with the study of Clifford-space Gravity and analyze further
the Clifford space ($ C$-space) generalized gravitational field equations which are obtained
from a variational principle based on the generalization of the Einstein-Hilbert-Cartan action.
One of the main features is that the $C$-space connection requires $torsion$
in order to have consistency with the Clifford algebraic structure associated with the curved
$C$-space basis generators. Hence no spin matter is required to induce torsion since it already exists in the vacuum. The field equations in $C$-spaces associated to a Clifford algebra in $D$-dimensions are $not$ equivalent to the ordinary gravitational equations with torsion
in higher $2^D$-dimensions. The most physically relevant conclusion, besides the presence of torsion in the vacuum, is the contribution of the $higher$ grade metric components $g^{\mu_1 \mu_2 ~\nu_1 \nu_2}, g^{\mu_1 \mu_2 \mu_2~\nu_1 \nu_2 \nu_3 }, ~.....$ of the $C$-space metric to dark energy/dark matter.

**Comments:** 14 Pages. submitted to J. Phys A : Mathematical and Theoretical

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### Submission history

[v1] 2012-08-26 02:41:14

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