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This research paper used a newly proposed strategy for finding the exact inflationary solutions to the Friedman equations in the context of Rastall theory of gravity (RTG), which is known as constant-roll warm inflation (CRWI). The dissipative effects produced during WI are studied by introducing a dissipation factor Q=Γ3H, where Γ is the coefficient of dissipation. We establish the model to evaluate the inflaton field, effective potential requires to produce inflation, and entropy density. These physical quantities lead to developing the important inflationary observables like scalar/tensor power spectrum, scalar spectral index, tensor-to-scalar ratio, and running of spectral-index for two choices of obtained potential that are V0=0 and V0≠0. In this study, we focus on the effects of the theory parameter λ, CR parameter β, and dissipation factor Q (under a high dissipative regime for which Q=constant) on inflation, and are constrained to observe the compatibility of our model with Planck TT+lowP (2013), Planck TT, TE, EE+lowP (2015), Planck 2018 and BICEP/Keck 2021 bounds. The results are feasible and interesting up to the 2σ confidence level. Finally, we conclude that the CR technique produces significant changes in the early universe.

This article examines static spherically symmetric wormhole (WH) solutions in f(Q,T) theory of gravity where Q represents non-metricity (NM) scalar while T is the trace of the stress-energy tensor. An anisotropic fluid configuration is taken into account to fulfill the task along with the linear form of the f(Q,T) model. For two different choices of the redshift function that are φ(r)=constant, φ(r)=(r0r)12 and for the shape functions, b(r)=r0+r0((rr0)γ−1),b(r)=r0log⁡(r+1)log⁡(r0+1), we construct the corresponding WH solutions. We examine the graphical behavior of the chosen shape functions and analyze all necessary and sufficient conditions for the existence of WH. We investigate the stability of obtained solutions and analyze how the energy conditions behave. We found that the null energy condition (NEC) is violated in a few regions of spacetime which shows the existence of traversable WHs in these regions. It is concluded that our results are viable for the positive values of theory parameters and within a range 0