2017/12/01 by Jackson Levi Said
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Curvature #Dark energy #Equation of state #Friedmann–Lemaître–Robertson–Walker metric #General relativity #Geometry #Gravitation #Gravitational field #Hubble's law #Mathematical physics #Mathematics #Physics #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar curvature #Scalar field #Spacetime #f(R) gravity #gr-qc
paper · pdf · doi:10.1140/epjc/s10052-017-5460-y
published as Said, J.L. Eur. Phys. J. C (2017) 77: 883 · 9 pages
openalex publication_date 2017/12/01 · arxiv created 2017/12/19 · arxiv updated 2017/12/21 · openalex created_date 2018/01/05 · openalex updated_date 2026/08/05
General relativity (GR) characterizes gravity as a geometric properly exhibited as curvature on spacetime. Teleparallelism describes gravity through torsional properties, and can reproduce GR at the level of equations. Similar to f ( R ) gravity, on taking a generalization, f ( T ) gravity can produce various modifications its gravitational mechanism. The resulting field equations are inherently distinct to f ( R ) gravity in that they are second order. In the present work, f ( T ) gravity is examined in the cosmological context with a number of solutions reconstructed by means of an auxiliary scalar field. To do this, various forms of the Hubble parameter are considered with an f ( T ) Lagrangian emerging for each instance. In addition, the inhomogeneous equation of state (EoS) is investigated with a particular Hubble parameter model used to show how this can be used to reconstruct the f ( T ) Lagrangian. Observationally, the auxiliary scalar field and the exotic terms in the FRW field equations give the same results, meaning that the variation in the Hubble parameter may be interpreted as the need to reformulate gravity in some way, as in f ( T ) gravity.