Lorentz symmetry breaking in gravity and dimensional reduction.

M. BOTTA CANTCHEFF

Rio de Janeiro, Brasil

Conferencia; 5th International Conference On Mathematical Methods In Physics (IC 2006); 2006

CBPF

We propose a modification of the standard Einstein theory in four dimensions, alternative to Ref.[2], since it is based on the first order (Einstein-Cartan) approach to General Relativity, whosegauge structure is explicit. A new topological term is introduced in the sector of coupling withmatter and a Lorentz symmetry breaking is induced through a mechanism proposed in a recentpaper [1]. An effective “planarity" may be observed in the resulting theory which resembles someaspects of holography. We finally remark some related proposals and open questions which arebeing developed and shall be discussed in forthcoming works.