Following earlier work, it is inquired how far the 5-D Kaluza–Klein equations without sources may be reduced to Einstein with sources. It shown by algebraic means that this can done, provided extra part of geometry used appropriately define an effective 4-D energy-momentum tensor. The latter has reasonable properties, but will require further detailed study.

view Abstract Citations (117) References (54) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS A Physical Interpretation of Kaluza-Klein Cosmology Wesson, Paul S. new interpretation 5D gravity is suggested, wherein the density and pressure usual 4D energy-momentum tensor (T(ij)) are regarded as extra parts Einstein (G(ij)). It shown that physics contained in perfect-fluid, spatially flat cosmological solutions G(ij) = T(ij) equations 0. This holds irrespective...

A solution to the equations of general relativity is given which spherically-symmetric and nonstatic with an inhomogeneous density profile ρ a pressure p by stiff equation state p=ρc2. The may be use in representing collapsed astrophysical systems or early stages cosmology.

Stated succinctly, the original version of Campbell–Magaard theorem says that it is always possible to locally embed any solution four-dimensional general relativity in a five-dimensional Ricci-flat manifold. We discuss proof this (and its variants) n dimensions, and application current theories postulate our universe hypersurface Σ0 within manifold, such as space–time–matter (STM) theory Randall Sundrum (RS) braneworld scenario. In particular, we determine whether or not arbitrary...

view Abstract Citations (79) References (22) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS The Classical Tests in Kaluza-Klein Gravity Kalligas, D. ; Wesson, P. S. Everitt, C. W. F. possible existence of extra dimensions to spacetime can be tested astrophysically using theory, which is a natural extension Einsteins's general relativity. In the simplest version there standard class five-dimensional solutions that are analogous four-dimensional Schwarzschild...

First Page

We present a rich class of exact solutions that contains radiation-dominated and matter-dominated models for the early late universe. They include variable cosmological "constant" is derived from higher dimension manifests itself in spacetime as an energy density vacuum. This agreement with observational data compatible extensions general relativity to string membrane theory. Our are also typified by nonsingular "big bounce" (as opposed singular big bang), where matter created inflationary cosmology.

Recent criticism of higher-dimensional extensions Einstein's theory is considered. This may have some justification as regards string theory, but misguided applied to five-dimensional theories with a large extra dimension. Such smoothly embed general relativity, ensuring recovery the latter's observational support. When embedding spacetime carried out in accordance Campbell's theorem, resulting 5D naturally explains origin classical matter and vacuum energy. Also, constraints on equations...