by Carlos Castro, Center for Theoretical Studies of Physical Systems, Clark Atlanta University, Atlanta, Georgia. 30314, email@example.com.
15 Pages. Submitted to the Int. J. of Theor. Phys., May 2012.
Abstract: 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(Rμ), …. 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.
Source: C. Castro, Email on 22 May 2012, czarlosromanov_at_yahoo.com.