2015/10/29 by Davood Momeni, Ratbay Myrzakulov · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Classical mechanics #Cosmology and Gravitation Theories #Four-momentum #Invariant (physics) #Lorentz covariance #Lorentz transformation #Mathematical physics #Nabla symbol #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Spacetime #Torsion (gastropod) #physics.gen-ph
paper · pdf · doi:10.1007/s10509-015-2546-6
published as Astrophys Space Sci (2015) 360:28 · http://link.springer.com/article/10.1007%2Fs10509-015-2546-6
openalex publication_date 2015/10/29 · arxiv created 2015/11/04 · openalex created_date 2016/06/24 · arxiv updated 2017/10/20 · openalex updated_date 2026/08/05
Modified gravity which was constructed by torsion scalar T, namely f(T) doesn't respect Lorentz symmetry. As an attempt to make a new torsion based modified gravity with Lorentz invarianve, recently f(T,B) introduced where B=2∇μTμ \citepBahamonde:2015zma. We would argue, even when all is constructed and done in a self-consistent form, if you handle them properly,we observe that there is no Lorentz invariant teleparallel equivalent of f(R) gravity. All we found is that the f(R) gravity in which R must be computed in Weitzenböck spacetime, using Weitzenböck's connection, nor Levi-Civita connections is the only possible Lorentz invariant type of modified gravity. Consequently, f(T) gravity can not obey Lorentz symmetry not only in its orthodoxica form but even in this new framework f(T,B).