2017/06/30 by Sebastian Bahamonde, Sebastián Bahamonde, Christian G. Boehmer +3 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Conformal map #Cosmology and Gravitation Theories #Einstein #General relativity #Geometry #Gravitation #Mathematical analysis #Mathematical physics #Mathematics #Physics #Scalar (mathematics) #Torsion (gastropod) #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1016/j.physletb.2017.10.026
published as Phys.Lett. B775 (2017) 37-43 · v2: 10 pages, accepted for publication in PLB; for a detailed derivation of the field equations see Appendix A in v1
arxiv created 2017/10/22 · openalex publication_date 2017/10/23 · arxiv updated 2017/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
New classes of modified teleparallel theories of gravity are introduced. The action of this theory is constructed to be a function of the irreducible parts of torsion f(Tax,Tten,Tvec), where Tax,Tten and Tvec are squares of the axial, tensor and vector components of torsion, respectively. This is the most general (well-motivated) second order teleparallel theory of gravity that can be constructed from the torsion tensor. Different particular second order theories can be recovered from this theory such as new general relativity, conformal teleparallel gravity or f(T) gravity. Additionally, the boundary term B which connects the Ricci scalar with the torsion scalar via R=−T+B can also be incorporated into the action. By performing a conformal transformation, it is shown that the two unique theories which have an Einstein frame are either the teleparallel equivalent of general relativity or f(−T+B)=f(R) gravity, as expected.