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We obtain a class of new anisotropic relativistic solution in EinsteinGauss-Bonnet (EGB) gravity with Finch-Skea metric in hydrostatic equilibrium.The relativistic solutions are employed to construct anisotropic stellar modelsfor strange star with MIT Bag equation of state $ p_{r}= \frac{1}{3} \left(\rho - 4 B_{g}\right)$, where $B_{g}$ is the Bag constants. Considering themass and radius of a known star PSR J0348+0432 we construct stellar models inthe framework of higher dimensions. We also predict the mass and radius ofstars for different model parameters. The Gauss-Bonnet coupling term ($\alpha$)plays an important role in determining the density, pressure, anisotropyprofiles and other features. The stability of the stellar models are probedanalyzing the different energy conditions, variation of sound speed andadiabatic stability conditions inside the star. The central density andpressure of a star in EGB gravity are found to have higher values compared tothat one obtains in Einstein gravity ($\alpha =0$). We also explore the effectof extra dimensions for the physical features of a compact object. For this weconsider $D=5$ and $D=6$ to obtain a realistic stellar model and found that inthe formal case both positive and negative values of $\alpha$ are allowed. Butin the later case, only $\alpha <0$ permits compact object in the Finch-Skeametric. We determine the best fit values of the model parameters for a numberof observed stars for acceptable stellar models.

Anisotropic strange stars in Einstein Gauss-Bonnet Gravity with Finch-Skea metric