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General Relativity and Weyl Frames · Around

2011

General Relativity and Weyl Frames

Romero, C., Fonseca-Neto, J. B., Pucheu, M. L.

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We present the general theory of relativity in the language of a non-Riemannian geometry, namely, Weyl geometry.

We show that the new mathematical formalism may lead to different pictures of the same gravitational phenomena, by making use of the concept of Weyl frames.
We show that, in this formalism, it is possible to construct a scalar-tensor gravitational theory that is invariant with respect to the so-called Weyl tranformations and reduces to general relativity in a particular frame, the Riemann frame.
In this approach the Weyl geometry plays a fundamental role since it appears as the natural geometrical setting of the theory when viewed in an arbitrary frame.

Built on

H. Weyl, Sitzungesber Deutsch. Akad. Wiss. Berli
1952
Earlier work this paper cites.
H. Poincaré, Science and Hypothesis
1952
Earlier work this paper cites.
J. O‘Hanlon and B. Tupper, Nuovo Cimento B
1972
Earlier work this paper cites.
I. W. Roxburgh and R. K. Tavakol, Found. Phys
1978
Earlier work this paper cites.

Similar

A. Pais, Subtle is the Lord
1983
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J. D. Norton, Rep. Prog. Phys
1993
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S. R. Mainwaring and G. E. Stedman, Phys. Rev. A
1993
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M. Novello and H. Heintzmann, Phys. Lett. A
1997
Cited alongside, same era.

Then

A nice account of Weyl’s ideas as well as the refutation of his gravitational theory may be found in W. Pauli, Theory of Relativity
2000
Later among the works it cites.
H. Goenner, Living Rev. Rel
2004
Later among the works it cites.
M. P. Dabrowski, T. Denkiewicz and D. Blaschke, Annalen Phys
2007
Later among the works it cites.
N. Deruelle and M. Sasaki, Conformal equivalence in classical gravity: the example of “vailed” General Relativity, arXiv:gr-qc/1007.3563 (2010)
2010
Later among the works it cites.

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