37 research outputs found
Kaluza-Klein Theory without Extra Dimensions: Curved Clifford Space
A theory in which 16-dimensional curved Clifford space (C-space) provides a
realization of Kaluza-Klein theory is investigated. No extra dimensions of
spacetime are needed: "extra dimensions" are in C-space. It is shown that the
covariant Dirac equation in C-space contains Yang-Mills fields of the
U(1)xSU(2)xSU(3) group as parts of the generalized spin connection of the
C-space.Comment: 15 pages; References added, typos correcte
Codimension-2 black hole solutions on a thin 3-brane and their extension into the bulk
In this talk we discuss black hole solutions in six-dimensional gravity with
a Gauss- Bonnet term in the bulk and an induced gravity term on a thin 3-brane
of codimension-2. It is shown that these black holes can be localized on the
3-brane, and they can further be extended into the bulk by a warp function.
These solutions have regular horizons and no other curvature singularities
appear apart from the string-like ones. The projection of the Gauss-Bonnet term
on the brane imposes a constraint relation which requires the presence of
matter in the extra dimensions, in order to sustain our solutions.Comment: 9 pages, Talk given at the conference "NEB-XIII:Recent developments
in gravity" held at Thessaloniki, Greece in June 200