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Equivalence between an extension of teleparallelism to a Weyl geometry and general relativity

General Relativity and Quantum Cosmology 2014-01-30 v1 Differential Geometry

Abstract

Recently, an extension of teleparallelism to a Weyl geometry which allows us to easily establish conformal invariance and "geometrize" electromagnetism has been presented. In this paper, I extend a result which concerns the existence of the Schwarzschild solution to a particular class of this extension. In addition, I obtain the field equations of some models based on this extension, including the one which is equivalent to Einstein's field equations with a massless scalar field.

Keywords

Cite

@article{arxiv.1401.7500,
  title  = {Equivalence between an extension of teleparallelism to a Weyl geometry and general relativity},
  author = {J. B. Formiga},
  journal= {arXiv preprint arXiv:1401.7500},
  year   = {2014}
}

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10 pages