Growth factor in $f(T,\mathcal{T})$ gravity

Understand

We investigate the growth factor for sub-horizon modes during late times in $f(T,\mathcal{T})$ gravity, where $T$ is the torsion scalar and $\mathcal{T}$ is the trace of the stress-energy tensor.

• This is achieved by obtaining the modified M\'{e}sz\'{a}ros equation, which describes the evolution of the perturbations of the matter energy density, and obtaining numerical results.
• Such results are obtained by solving the modified continuity equation and analysing the behaviour of the solutions of the latter using various constraints on the integration constants.
• Furthermore, the role of the anisotropic term $\pi^{S}$ is investigated.