Equivalence between an extension of teleparallelism to a Weyl geometry and general relativity. (English) Zbl 1298.83025
Summary: 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.
MSC:
| 83C15 | Exact solutions to problems in general relativity and gravitational theory |
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