Equivalence Between an Extension of Teleparallelism to a Weyl Geometry and General Relativity
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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.
KeywordsTeleparallelism Weyl geometry Schwarzschild solution
- 1.Capozziello, S., Faraoni, V.: Beyond Einstein Gravity: A Survey of Gravitational Theories for Cosmology and Astrophysics. Fundamental Theories of Physics. Springer, Dordrecht (2011) Google Scholar