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2011

Conformally invariant teleparallel theories of gravity

Maluf, J. W., Faria, F. F.

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We analyze the construction of conformal theories of gravity in the realm of teleparallel theories.

We first present a family of conformal theories which are quadratic in the torsion tensor and are constructed out of the tetrad field and of a scalar field.
For a particular value of a coupling constant, and in the gauge where the scalar field is restricted to assume a constant value, the theory reduces to the teleparallel equivalent of general relativity, and the tetrad field satisfies Einstein's equations.
A second theory is formulated out of the tetrad field only, and is not equivalent to the usual Weyl Lagrangian.

Conformally invariant teleparallel theories of gravity · Around

Built on

P. A. M. Dirac, Proc. R. Soc. London A 333
1973
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R. Utyiama, Prog. Theor. Phys. 53
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Earlier work this paper cites.
J. W. Maluf, J. Math. Phys. 35
1994
Earlier work this paper cites.

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P. D. Mannheim, “Making the case for conformal gravity” [arXiv:1101.2186]
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Then

G. ’t Hooft, “The conformal constraint in canonical quantum gravity”, [arXiv:1011.0061]; Found. Phys. 41
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R.-J. Yang, Europhys. Lett. 93
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