T2- inflation: Sourced by energy-momentum squared gravity

In this paper, we examine chaotic inflation within the context of the energy-momentum squared gravity (EMSG) focusing on the energy-momentum powered gravity (EMPG) that incorporates the functional f(T-2) proportional to (T-2)(beta) in the Einstein-Hilbert action, in which beta is a constant and T-2 equivalent to T mu vT mu v where T-mu v is the energymomentum tensor, which we consider to represent a single scalar field with a power-law potential. We also demonstrate that the presence of EMSG terms allows the single-field monomial chaotic inflationary models to fall within current observational constraints, which are otherwise disfavored by Planck and BICEP/Keck findings. We show that the use of a non-canonical Lagrangian with chaotic potential in EMSG can lead to significantly larger values of the non-Gaussianity parameter, fe(Nl)(qui) whereas EMSG framework with canonical Lagrangian gives rise to results similar to those of the standard single-field model.