• Corpus ID: 115968138

The Scalar Field Source in Kaluza-Klein Theory

  title={The Scalar Field Source in Kaluza-Klein Theory},
  author={Paul S. Wesson and James Overduin},
  journal={arXiv: General Relativity and Quantum Cosmology},
To better understand the scalar field typical of higher-dimensional extensions of general relativity, we analyse three classes of solutions. In all, the field equation for the extra dimension resembles the Klein-Gordon equation, and we evaluate the strength of the source. Our results show that the scalar field is coupled to matter, and may be regarded as generating it. 
1 Citations

Paul Wesson and Space-Time-Matter Theory

A short scientific biography is given of physicist Paul Wesson (1949-2015), who published over 300 works encompassing the fields of astrobiology, astrophysics, geophysics, cosmology, and relativity;



A Scalar Field and the Einstein Vacuum in Modern Kaluza-Klein Theory

Five-dimensional relativity as an extension of general relativity has field equations that simplify considerably given the adoption of a new gauge. The result is a scalar field governed by the

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Vector Analysis. Curved Coordinates, Tensors. Determinants and Matrices. Group Theory. Infinite Series. Functions of a Complex Variable I. Functions of a Complex Variable II. Differential Equations.


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For this purpose we (together with Ryan Everett) have adapted a series of Mathematica routines written by Leonard Parker and James Hartle to check solutions of Einstein's equations in 4D

  • Our modified routines are available on request to James Overduin