Quantum Gravity and String Theory


Some Solutions to the Clifford Space Gravitational Field Equations

Authors: Carlos Castro

We continue with the study of Clifford-space Gravity and find some solutions to 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. The $C$-space connection requires $torsion$ and the field equations in $C$-space are $not$ equivalent to the ordinary gravitational equations with torsion in higher $2^D$-dimensions. We find specific metric solutions in the most simple case and discuss their difference with the metrics found in ordinary gravity.

Comments: 9 Pages. Submitted to the International Journal of Theoretical Physics.

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Submission history

[v1] 2012-11-11 04:34:10

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