Kaluza-Klein theory and Machian cosmology |
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| Authors: | Paul S Wesson J Ponce de Leon |
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| Institution: | (1) Department of Physics, University of Waterloo, N2L 3G1 Waterloo, Ontario, Canada;(2) GP-B, Department of Physics, Stanford University, 94305 Stanford, California, USA;(3) Theoretical Physics Lab., University of Puerto Rico, 00931 Rio Piedras, Puerto Rico, USA |
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| Abstract: | We interpret the 15 equations of Kaluza-Klein gravity as 10 Einstein equations, 1 wave equation and 4 equations of motion. An exact cosmological solution of the apparently empty 5D field equations describes a 4D fluid with an effective density and pressure induced by the curvature associated with the fifth dimension. The rest mass of a particle in the fluid depends on the global solution and changes slowly with time. This approach to Kaluza-Klein theory in general results in Machian cosmologies. |
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