Teleparallel Gravity: An Introduction

By R. Aldrovandi, J. G. Pereira. 2012

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In Astronomy and Astrophysics

Citations in the corpus

The Geometrical Trinity of Gravity (2019, background): “ that by writing the pure-gauge wab in terms of trivial tetrads and then promoting those to the full tetrads indeed would make the pure-gauge spin connection become the metric spin connection of GR [4,9]. However, this is not the standard procedure in gauge theories. Thus, the conventional coupling”
The teleparallel equivalent of general relativity (2013, background): “ayashi’s approach [8], they identify the gravitational potential as a non-trivial part of the tetrad eld, and gravity is described in the Weitzenbock space-time. Their approach is presented in Refs. [25, 26]. Teleparallel gravity has been readdressed by Obukhov and Pereira [27] in the geometrical fr”
Teleparallel Palatini theories (2018, methodology): “While the second alternative would lead to the framework of Einstein-Cartan theory, the first option is the standard prescription used in TEGR [5, 13, 14].”
Teleparallel theories of gravity: illuminating a fully invariant approach (2018, background): “Teleparallel gravity can be interpreted as a gauge theory for the translation group [4, 16].”
Structure formation in f(T) gravity and a solution for H0 tension (2018, positive): “Levi-Civita connection, we use the curvatureless Weitzenböck one, w Γ λ νμ ≡ eA ∂μeν [13], and hence the gravitational field is described by the torsion tensor”
Generalized Curvature-Matter Couplings in Modified Gravity (2014, background): “f 2(R) dL m(ˆ) dˆ ; (31) in the ﬁrst order of approximation the equations of motion of the ﬂuid can be obtained from the variational principle Z dL m(ˆ) dˆ + f 2(R) dL m(ˆ) dˆ + ˚ ~v2 2 dt= 0; (32) and are given by ~a= r ˚r dL m(ˆ) dˆ r U E = ~a N+~a H+~a E; (33) where~ais the total acceleration ”
The covariant formulation of f(T) gravity (2015, methodology): “The derivatives of the torsion scalar are well-known in the ordinary TEGR case (for instance see the Appendix C in [19]), namely ∂T ∂(∂νhμ) = −4S μν a (A4)”
Teleparallel equivalent of Gauss-Bonnet gravity and its modifications (2014, background): “[18] R.”
Cosmological perturbations in modified teleparallel gravity models (2018, background): “The action of f(T ) gravity is given in terms of a tetrad field4 eμ , such that gμν = ηABe A μ e B ν , and a non-linear function of the torsion scalar which enters the action of the teleparallel equivalent of GR [1]”