## Lanczos-Lovelock and f ( R ) Gravity from Clifford space Geometry

**Authors:** Carlos Castro

A rigorous construction of Clifford-space Gravity is presented which is compatible with
the Clifford algebraic structure and permits the derivation of the generalized connections
in Clifford spaces ( C-space) in terms of derivatives of the C-space metric.
We continue by arguing how Lanczos-Lovelock higher curvature gravity can be embedded into
gravity in Clifford spaces and suggest how this might also occur for extended gravitational theories based on f ( R ),
f ( R_{\mu \nu} ), .... actions, for polynomial-valued functions. Black-strings and
black-brane metric solutions in higher dimensions D > 4 play an important role in finding specific examples.

**Comments:** 15 Pages. Submitted to the Int. J. of Theor. Phys.

**Download:** **PDF**

### Submission history

[v1] 2012-05-21 07:08:24

[v2] 2012-05-22 00:50:10

**Unique-IP document downloads:** 132 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.*

*
*