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International Journal of Theoretical Physics

, Volume 53, Issue 6, pp 1971–1977 | Cite as

Equivalence Between an Extension of Teleparallelism to a Weyl Geometry and General Relativity

  • J. B. Formiga
Article

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

Teleparallelism Weyl geometry Schwarzschild solution 

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Centro de Ciências da NaturezaUniversidade Estadual do PiauíTeresinaBrazil

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