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Wesson’s Induced Matter Theory with a Weylian Bulk

Foundations of Physics 35 (10):1725-1748 (2005)

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Inducing the Cosmological Constant from Five-Dimensional Weyl Space.José Edgar Madriz Aguilar & Carlos Romero - 2009 - Foundations of Physics 39 (11):1205-1216.details 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 the approach of the space-time-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 Λ, or more generally, it may generate a time-dependent cosmological parameter Λ(t). As an application, we construct a simple cosmological model (...) Download Export citation Bookmark 3 citations
Creation of Neutral Fundamental Particles in the Weyl–Dirac Version of Wesson’s IMT.Mark Israelit - 2007 - Foundations of Physics 37 (11):1628-1642.details Spherically symmetric entities filled with matter and induced by the 5D bulk may be built in the empty 4D space-time. The substance of the entity, the latter regarded as a fundamental particle, is characterized by the prematter equation of state P=−ρ. The particle is covered in a Schwarzschild-like envelope and from the outside it is characterized by mass and radius. One can regard these entities as neutral fundamental particles being constituents of quarks and leptons. The presented classical models are developed (...) Download Export citation Bookmark
On Measuring Standards in Weyl’s Geometry.Mark Israelit - 2005 - Foundations of Physics 35 (10):1769-1782.details In Weyl’s geometry the nonintegrability problem and difficulties in defining measuring standards are reconsidered. Approaches removing the nonintegrability of length in the interior of atoms are given, so that atoms can serve as measuring standards. The Weyl space becomes a well founded framework for classical theories of electromagnetism and gravitation. Download Export citation Bookmark 1 citation
Conformally Flat Spacetimes and Weyl Frames.C. Romero, J. B. Fonseca-Neto & M. Laura Pucheu - 2012 - Foundations of Physics 42 (2):224-240.details We discuss the concepts of Weyl and Riemann frames in the context of metric theories of gravity and state the fact that they are completely equivalent as far as geodesic motion is concerned. We apply this result to conformally flat spacetimes and show that a new picture arises when a Riemannian spacetime is taken by means of geometrical gauge transformations into a Minkowskian flat spacetime. We find out that in the Weyl frame gravity is described by a scalar field. We (...) Download Export citation Bookmark 2 citations

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