On Weyl cosmology in five dimensions and the cosmological constant

Abstract

In this talk notes we expose the possibility to induce the cosmological constant from extra dimensions, in a geometrical framework where our four-dimensional Riemannian space-time is embedded into a five-dimensional Weyl integrable space. In particular following the approach of the induced matter theory, we show that when go down from five to four dimensions, we may recover in the context of the general theory of relativity, the induced energy momentum tensor of the induced matter theory plus a cosmological constant term, that is determined by the presence of the Weyl scalar field on the bulk.

Published on the Proceedings of the Seventh Alexander Friedmann International Seminar on Gravitation and Cosmology and Satellite Symposium "60 years of the Casimir Effect", Joao Pessoa, Brazil, 30 June - 4 July, 2008

References in corpus (3)

• Warped product spaces and geodesic motion in the neighbourhood of hypersurfaces
• Wesson's IMT with a Weylian bulk
• Geodesic motion in the neighbourhood of submanifolds embedded in warped product spaces

Cited by in corpus (15)

• Anti-de-Sitter Island-Universes from 5D Standing Waves
• Localization of gauge bosons in the 5D standing wave braneworld
• A note on the problem of proper time in Weyl space-time
• Cosmological models in Weyl geometrical scalar-tensor theory
• An anisotropic standing wave braneworld and associated Sturm-Liouville problem
• Localization of scalar and tensor fields in the standing wave braneworld with increasing warp factor
• Localization Problem in the 5D Standing Wave Braneworld
• Gauge invariant fluctuations of the metric during inflation from new scalar-tensor Weyl-Integrable gravity model
• Acceleration in Weyl integrable spacetime
• (2+1)-Dimensional Gravity in Weyl Integrable Spacetime
• Inhomogeneous spacetimes in Weyl integrable geometry with matter source
• On the Cauchy Problem for Weyl-Geometric Scalar-Tensor Theories of Gravity
• Integrability and Cosmological Solutions in Einstein-aether-Weyl theory
• Localization of Matter Fields in the 6D Standing Wave Braneworld
• Weyl frames and canonical transformations in geometrical scalar-tensor theories of gravity