Inducing the cosmological constant from five-dimensional Weyl space

Abstract

We investigate the possibility of inducing the cosmological constant from extra dimensions by embedding our four-dimensional Riemannian space-time into a five-dimensional Weyl integrable space. Following approach of the induced matter theory we show that when we go down from five to four dimensions, the Weyl field may contribute both to the induced energy-tensor as well as to the cosmological constant, or more generally, it may generate a time-dependent cosmological parameter. As an application, we construct a simple cosmological model which has some interesting properties.

7 pages

References in corpus (6)

• Decaying Dark Energy in Higher-Dimensional Gravity
• Warped product spaces and geodesic motion in the neighbourhood of hypersurfaces
• Wesson's IMT with a Weylian bulk
• On the embedding of spacetime in five-dimensional Weyl spaces
• Einstein-Weyl from Kaluza-Klein
• Geodesic motion in the neighbourhood of submanifolds embedded in warped product spaces