2019/03/28 by J. B. Formiga · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Class (philosophy) #Classical mechanics #Conformal gravity #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Epistemology #General relativity #Geometry #Gravitation #Invariant (physics) #Lorentz transformation #Mathematical physics #Mathematics #Philosophy #Physics #Pulsars and Gravitational Waves Research #Theoretical physics #Weyl transformation #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.99.064047
published as Phys. Rev. D 99, 064047 (2019) · 42 pages and 4 figures
openalex publication_date 2019/03/28 · arxiv created 2019/05/12 · arxiv updated 2019/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Despite the fact that general relativity has been very successful, many alternative theories of gravity have attracted the attention of a significant number of theoretical physicists. Among these theories are those with conformal symmetry. Here, the use of Weyl geometry to deal with conformal teleparallel gravity is reviewed in great detail. As an application, we derive a model that can be made equivalent to the teleparallel equivalent of general relativity (TEGR) and is invariant under diffeomorphisms, local Lorentz transformations, and Weyl transformations. Some pp-wave, spherically symmetric, and cosmological solutions are obtained. It turns out that the class of possible solutions is wider than that of TEGR. In addition, the total and gravitational energies of the Universe are calculated and analyzed.