Extra dimensions--beyond space and time--are the best methods for unifying gravity with
particle physics. The basic extension is to five dimensions (5D), as in the induced-matter and …

We study the relationship between space–time–matter (STM) and brane theories. These two
theories look very different at first sight, and have different motivation for the introduction of a …

We review the implications of modern higher-dimensional theories of gravity for astrophysics
and cosmology. In particular, we discuss the latest developments of STM theory in …

The extension of the Campbell-Magaard embedding theorem to general relativity with
minimally-coupled scalar fields is formulated and proven. The result is applied to the case of …

We discuss the equations of motion of test particles for a version of Kaluza-Klein theory
where the cylinder condition is not imposed. The metric tensor of the fivedimensional …

In the Randall–Sundrum brane-world scenario and other non-compact Kaluza–Klein
theories, the motion of test particles is higher-dimensional in nature. In other words, all test …

We present an exact solution to the Einstein field equations which is Ricci and Riemann flat
in five dimensions, but in four dimensions is a good model for the early vacuum-dominated …

We investigate the question of how an observer in 4D perceives the five-dimensional
geodesic motion. We consider the interpretation of null and non-null bulk geodesics in the …

A null path in 5D can appear as a timelike path in 4D, and for a certain gauge in 5D the
motion of a massive particle in 4D obeys the usual quantization rule with an uncertainty-type …

Much effort has been made in trying to solve or at least evade the inconsistencies that
emerge from general relativity as the framework for a cosmological model. The …