Solar system tests for realistic f(T) models with non-minimal torsion–matter coupling

Abstract

In the previous paper, we have constructed two f (T ) models with non-minimal torsion-matter coupling extension, which are successful in describing the evolution history of the Universe including the radiation-dominated era, the matter-dominated era, and the present accelerating expansion. Meantime, the significant advantage of these models is that they could avoid the cosmological constant problem of CDM. However, the non-minimal coupling between matter and torsion will affect the tests of the Solar system. In this paper, we study the effects of the Solar system in these models, including the gravitation redshift, geodetic effect and perihelion precession. We find that Model I can pass all three of the Solar system tests. For Model II, the parameter is constrained by the uncertainties of the planets' estimated perihelion precessions.

Horndeski theories confront the Gravity Probe B experiment

“…In particular, f (R) theories of gravity has drawn significant interest in the past few years due to its ability to explain the late time cosmic acceleration [21][22][23][24][25][26][27][28][29][30][31][32][33] and its close correspondence with scalar-tensor theories of gravity [34][35][36][37][38][39][40][41]. In addition Lovelock theories of gravity [42][43][44][45][46][47][48][49], f (T ) gravity [50][51][52][53][54][55], higher dimensional along with higher curvature modifications to gravitational dynamics [56][57][58][59][60][61] play crucial roles in explaining various scenarios among the alternative gravity theories. On the other hand, among the scalar coupled gravity theories (also known as the scaler-tensor theories) Horndeski theories are of particular interest.…”

Torsion and shear effect on a Big Rip model in a gravitational field

“…Affine connection presents space-time twisting; therefore a new degree of geometric freedom appears in the system because there is an independent torsion field in addition to the scale. The literature abounds with a number of suggestions for experimenting with theories of gravity with nonzero torsions (Hammond 2002;Mao et al 2007;Wanas 2007;Kostelecký et al 2008;March et al 2011;Hehl et al 2013;Puetzfeld and Obukhov 2014;Lin et al 2017;Dimitrios et al 2019;Capozziello et al 2017;Vignolo and Fabbri 2012). However, so far, there has been no demonstration to support the existence of time and space.…”

Wormholes without exotic matter in nonminimal torsion-matter coupling $f(T)$ gravity

“…which is used as the Lagrangian in TEGR [24,25]. The nonminimal torsion matter coupling f (T ) gravity [29] extends the usual f (T ) gravities [26][27][28], and adopts the following unifying form of action [30,31,40]…”

“…Since the Lagrangian of matter L M appears in the field equation (11), its explicit form is needed. We assume the study of L M for perfect fluid in the literature [30,31,40,41] is applicable to the current work and set L M = ρ where ρ is the energy density of matter.…”

“…Besides the curvature-based alternatives of gravity, one can also modify the gravitation theory starting from the Teleparallel Equivalent of General Relativity (TEGR) [24,25]. In the Lagrangian of TEGR, the torsion scalar T takes the place of the Ricci scalar R, and hence, in analogous of f (R), f (T ) gravity [26][27][28] and its nonminimal coupling extension [29][30][31] have been studied. Under the teleparallel framework, the exotic content in wormholes has also been investigated in f (T ) gravity [32,33] and its further extensions such as nonminimal scalar-torsion coupling teleparallel gravity [34] and f (T, T G ) gravity [35], where T G is the teleparallel equivalent of the Gauss-Bonnet term.…”