The impact of modified gauss-bonnet gravity on a shear-free axial system

This paper explores the impact of dark sources on the evolution of axially symmetric stellar structure. We consider an anisotropic, dissipative, shear-free and axial symmetric self-gravitating massive stellar structure with dark energy in modified Gauss-Bonnet gravity. We examine the energy source of the framework and derive the effective dynamical variables as well as structure scalar functions. Our findings demonstrate that the exotic energy serve as a cause of anisotropy and thermal dissipation. Moreover, the effects of shear-free axial evolution are also studied through governing equations and heat transfer equations. This study involves different self-gravitating fluid models, including dissipative non-geodesic and geodesic fluids. The non-geodesic dissipative condition gives that the rotational distribution is necessary and sufficient for a radiating model. The dissipation relies on inhomogeneous expansion. The geodesic model is determined to be non-radiating and irrotational. The non-dissipative geodesic fluid results in the FRW model for positive expansion parameter values.