We investigate the gravitational waves and their properties in various modified teleparallel theories, such as $f(T)$, $f(T,B)$, $f(T,{T}_{G})$ gravities. perform perturbation analysis both around a Minkowski background case where cosmological constant is present, for clarity we use metric tetrad languages. For $f(T)$ gravity verify result that no further polarization modes comparing to general relativity are present at first-order level, show order see extra one should look third-order...

Symmetric teleparallel gravity (STG) offers an interesting avenue to formulate a theory of gravitation that relies neither on curvature nor torsion but only non-metricity Q. Given the growing number observations gravitational waves (GWs) and their use explore theories, in this work we investigate GWs various extensions STG, focusing speed polarization. For simple for theories arise from generalized irreducible decomposition f(Q) gravity, obtain same polarizations with general relativity....

We investigate the four solar system tests of gravity - perihelion precession, light bending, Shapiro time delay, gravitational redshift in $f(T)$ gravity. In particular, we solution derived by Ruggiero and Radicella, Phys. Rev. D 91, 104014 (2015), for a nondiagonal vierbein field polynomial $f(T) = T + \alpha T^n$, where $\alpha$ is constant $|n| \neq 1$. this paper, derive solutions each test, which Weinberg's, Bodenner Will's, Cattani et al. Rindler Ishak's methods are applied,...

In this paper, we investigate the stability of flat Friedmann-Lemaitre-Robertson-Walker metric in $f(T)$ gravity. This is achieved by analyzing small perturbations, $\ensuremath{\delta}$ about Hubble parameter and matter energy density, ${\ensuremath{\delta}}_{\mathrm{m}}$. We find that $\ensuremath{\delta}\ensuremath{\propto}\stackrel{\ifmmode \dot{}\else \textperiodcentered \fi{}}{H}/H$ ${\ensuremath{\delta}}_{\mathrm{m}}\ensuremath{\propto}H$. Since depends on function $f(T)$, two models...

Gravitomagnetism characterize phenomena in the weak field limit within context of rotating systems. These are mainly manifested geodetic and Lense-Thirring effects. The effect describes precession spin a gyroscope orbit about massive static central object, while expresses analogous for source. In this work, we explore these effects framework Teleparallel Gravity investigate how may impact recent future missions. We find that teleparallel theories gravity have an important on which constrain...

In the context of extended teleparallel gravity theories with a $3+1$-dimensional Gauss-Bonnet analog term, we address possibility these reproducing several well-known cosmological bouncing scenarios in four-dimensional Friedmann-Lema\^{\i}tre-Robertson-Walker geometry. We study which types gravitational Lagrangians are capable reconstructing solutions provided by analytical expressions for symmetric, oscillatory, superbounce, matter bounce, and singular bounce. Some discovered at origin,...

We investigate the growth factor for sub-horizon modes during late times in $f(T,\mathcal{T})$ gravity, where $T$ is torsion scalar and $\mathcal{T}$ trace of stress-energy tensor. This achieved by obtaining modified Mészáros equation, which describes evolution perturbations matter energy density, numerical results. Such results are obtained solving continuity equation analysing behaviour solutions latter using various constraints on integration constants. Furthermore, role anisotropic term...

Teleparallel Gravity offers the possibility of reformulating gravity in terms torsion by exchanging Levi-Civita connection with Weitzenb\"ock which describes rather than curvature. Surprisingly, can be formulated to equivalent general relativity for a appropriate setup. Our interest lies exploring an extension this theory Lagrangian takes form $f(T,B)$ where T and B are two scalars that characterize equivalency relativity. In work, we explore possible reproducing well-known cosmological...

Teleparallel gravity has significantly increased in popularity recent decades, bringing attention to Einstein's other theory of gravity. In this Review, we relate form geometry the broader metric-affine approach forming gravitational theories where describe a systematic way constructing consistent teleparallel that respect certain physical conditions such as local Lorentz invariance. We first use formulate equivalent general relativity which is dynamically but may have different behaviors...

General relativity characterizes gravity as a geometric property exhibited on spacetime by massive objects while teleparallel achieves the same results, at level of equations, taking torsional perspective gravity. Similar to f (R) theory, can also be generalized (T ), with resulting field equations being inherently distinct from in that they are second order, former case turn out fourth order. In present case, minimally coupled scalar is investigated ) context for several forms potential. A...

In the context of extended Teleparallel gravity theories with a 3+1 dimensions Gauss-Bonnet analog term, we address possibility these reproducing several well-known cosmological solutions. particular when applied to Friedmann-Lema\^itre-Robertson-Walker geometry in four-dimensional spacetime standard fluids exclusively. We study different types gravitational Lagrangians and reconstruct solutions provided by analytical expressions for either scale factor or Hubble parameter. also show that it...

Scalar-tensor theories have taken on a key role in attempts to confront the growing open questions standard cosmology. It is important understand entirely their dynamics at perturbative level including any possible spatial dependence growth of large scale structures. In this work, we investigate rate scalar-tensor through M\'{e}sz\'{a}ros equation. We confirm that subhorizon does not play major for viable models. However, establish conditions which criterion met may be developing new our...

Compact stars have long served as a test bed of gravitational models and their coupling with stellar matter. In this work, we explore the behavior an exponential model in f(T) gravity through Tolman-Oppenheimer-Volkoff equation. This is performed for different envelope thicknesses. Finally, constraints on parameters are obtained, which comparable to results obtained using cosmological survey data. consistency across strong astrophysical weak scales shows reasonable viability underlying model.

Abstract Scalar-tensor theories have taken on a key role in attempts to confront the growing open questions standard cosmology. It is important understand entirely their dynamics at perturbative level including any possible spatial dependence growth of large scale structures. In this work, we investigate rate scalar-tensor through Mészáros equation. We confirm that subhorizon does not play major for viable models. However, establish conditions which criterion met may be developing new our...

Abstract Compact stars have long served as a test bed of gravitational models and their coupling with stellar matter. In this work, we explore the behavior an exponential model in f ( T ) gravity through Tolman-Oppenheimer-Volkoff equation. This is performed for different envelope thicknesses. Finally, constraints on parameters are obtained, which comparable to results obtained using cosmological survey data. consistency across strong astrophysical weak scales shows reasonable viability...