Abstract
Abstract We explore the inhomogeneity factors for the initially regular relativistic spheres in 4D-Einstein-
Gauss-Bonnet (EGB) theory. The corresponding equations of motion are derived once the generic
expressions for the kinematical variables are obtained for spherically symmetric self-gravitating
system. By using the non-zero divergence of the stress-energy tensor, the independent components
of Bianchi identities are constructed. To enable a thorough explanation of the inhomogeneity of
the particular shear free matter distribution, we computed two distinct components of evolution
equations employing the Weyl tensor. We then investigate the requisite variables for the irregularity
by looking at particular scenarios in both the adiabatic and non-adiabatic domains. These instances
demonstrate how, in addition to other factors, the Gauss-Bonnet terms contribute to the regularity
requirements of the collapsing fluid.
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