## 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

**Download:** **PDF**

### Submission history

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

**Unique-IP document downloads:** 136 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*