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Local Lorentz transformation and exact spherically symmetric vacuum solutions in f(T) gravity theories

2012/10/18 by G. G. L. Nashed, Gamal G. L. Nashed
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Lorentz covariance #Lorentz factor #Lorentz transformation #Mathematical physics #Physics #Theoretical physics #Transformation (genetics) #physics.gen-ph

paper · pdf · doi:10.1140/epjc/s10052-013-2394-x

This paper has been withdrawn by the author

arxiv created 2012/10/18 · openalex publication_date 2013/04/01 · arxiv updated 2015/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Applying a non-diagonal spherically symmetric tetrad field having arbitrary function, S(r), that is corresponding to local Lorentz transformation, to the field equations of f(T) gravity theories. An analytic vacuum solutions with constants of integration are derived. These constants are studied by calculating the total conserved charge associated to each solution. The study has shown that the obtained solutions represent Schwarzschild-Ads spacetime.

Citations