Abstract
In this paper a general solution is found for a five-dimensional orbifoldspacetime that induces a k = 0 cosmology on a 3-brane. Expressions forthe energy density and pressure on the brane in terms of the brane metricare derived. Given a metric on the brane it is possible to findfive-dimensional spacetimes that contain the brane. This calculation is carriedout for an inflationary universe and for a metric that corresponds to aradiation-dominated universe in standard cosmology. It is also shown thatany k = 0 cosmology can be embedded in a flat five-dimensional orbifoldspacetime and the equation of the 3-brane surface is derived. For aninflationary universe it is shown that the surface is the usual hyperboloidrepresentation of de Sitter space, although it is embedded in an orbifoldspacetime.
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