Teleparallel Gravity: From Theory to Cosmology

Abstract

Equation of State LHS Left hand side RHS Right hand side STEGR Symmetric teleparallel equivalent of general relativity TEGB Teleparallel equivalent of the Gauss-Bonnet PPN Parameterized post-Newtonian formalism SN Supernova (we use abbreviations SNeIa and SNIa to refer to supernova type 1a) BAO Baryonic Acoustic Oscillations CC Cosmic Chronometers DE Dark energy HDE Holographic Dark Energy QCD Quantum Chromodynamics PlDE Pilgrim Dark Energy CMB Cosmic Microwave Background WMAP Wilkinson Microwave Anisotropy Probe SVT Scalar-Vector-Tensor VLBI Very Long Baseline Interferometry SH0ES Supernova H0 for the Equation of State TRGB Tip of the red-giant branch TDCOSMO Time-delay Cosmography vi

Scalarized Black Holes in Teleparallel Gravity

“…Standard references for teleparallel gravity are [38,39,48,49]. Scalar-tensor theories in teleparallel gravity have been discussed very detailed in the series of articles [41][42][43].…”

“…on the Levi-Civita connection with vanishing torsion and non-metricity. In this paper, we will study theories constructed in the framework of teleparallel gravity where the geometry is described by a connection with vanishing curvature and non-metricity, but non-vanishing torsion [38][39][40]. It is well known that in this framework, it is possible to formulate a theory which is dynamically equivalent to GR, that is usually called the teleparallel equivalent of general relativity (TEGR) [38].…”

“…In this work, we extend the TEGR action by considering a scalar field which is non-minimally coupled to B and T . These theories are the so-called scalar-torsion theories (or teleparallel scalar-tensor theories) and a detailed description regarding these theories can be found in [41][42][43] and in the review [39] (see Sec. 5.8).…”

$f(T,B)$ gravity in a Friedmann-Lema\^ıtre-Robertson-Walker universe with nonzero spatial curvature

“…There is a plethora of modified theories inspired by teleparallelism with many interesting results in cosmology and astrophysics [15][16][17][18][19][20][21][22][23]. For a recent review, we refer the reader to reference [24].…”

Ghost instability in the teleparallel gravity model with parity violations

“…Along this way, the Nieh-Yan modified Teleparallel Gravity (NYTG) model [12,13] was recently proposed. The NYTG model is based on the teleparallel gravity (TG) [14,15] which may be considered as a constrained metric-affine theory and is formulated in a spacetime endowed with a metric compatible but curvature free connection, the gravity is identified with the spacetime torsion. One may have a GR equivalent model within the framework of TG (we may call it TGR).…”