2019/05/31 by G. G. L. Nashed, Kazuharu Bamba · 4 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Black hole (networking) #Classical field theory #Classical mechanics #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #General relativity #Geometry #Mathematical physics #Mathematics #Numerical relativity #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #Scalar theories of gravitation #Spacetime #Tetrad #Theory of relativity #gr-qc
paper · pdf · doi:10.1103/physrevd.101.044029
published in Physical review. D/Physical review. D. 101(4) (American Physical Society) · 12 pages
openalex publication_date 2020/02/14 · arxiv created 2020/03/25 · arxiv updated 2020/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We continue our study in four dimensions to derive noncharged and charged (anti)--de Sitter black hole solutions in conformal teleparallel equivalent of general relativity. The noncharged and charged equations of motion are applied to a spherically symmetric tetrad and the nonlinear differential equations are derived. It is shown that the output solutions of the two cases are identical to those obtained in teleparallel equivalent theory to general relativity. As a result, it is found that in the conformal teleparallel equivalent theory to general relativity, the scalar field cannot influence on the manifold of spherical symmetry, i.e., the scalar field must equal one in order to have a well-known asymptote spacetime.