An Embedding for General Relativity and its Implications for New Physics
arXiv:0705.0067 · doi:10.1007/s10714-007-0445-z
Abstract
We show that any solution of the 4D Einstein equations of general relativity in vacuum with a cosmological constant may be embedded in a solution of the 5D Ricci-flat equations with an effective 4D cosmological "constant" that is a specific function of the extra coordinate. For unified theories of the forces in higher dimensions, this has major physical implications.