2011/10/31 by J. W. Maluf, F. F. Faria · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Conformal field theory #Conformal gravity #Conformal map #Cosmology and Gravitation Theories #Coupling constant #Gauge theory #General relativity #Geometry #Gravitation #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Scalar (mathematics) #Scalar field #Tetrad #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.85.027502
published as Phys. Rev. D 85, 027502 (2012) · 10 pages, no figures. We discuss the construction of the teleparallel version of the Weyl Lagrangian
arxiv created 2012/01/18 · openalex publication_date 2012/01/18 · arxiv updated 2012/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 family of theories is formulated out of the tetrad field only, and the theories are not equivalent to the usual Weyl Lagrangian. Therefore, the latter is not the unique genuinely geometrical construction that yields a conformally invariant action. The teleparallel framework allows more possibilities for conformal theories of gravity.