On the existence and stability of traversable wormhole solutions in modified theories of gravity

Abstract We study Morris–Thorne static traversable wormhole solutions in different modified theories of gravity. focus our on the quadratic gravity $$f({\mathscr {R}}) = {\mathscr {R}}+a{\mathscr {R}}^2$$ f ( R ) = + a 2 , power-law f_0{\mathscr {R}}^n$$ 0 n log-corrected {R}})={\mathscr {R}}+\alpha {R}}^2+\beta {R}}^2\ln \beta {R}}$$ ? ? ln theories, and finally exponential hybrid metric-Palatini $$f(\mathscr {\hat{R}})=\zeta \bigg (1+e^{-\frac{\hat{{\mathscr {R}}}}{\varPhi }}\bigg )$$ ^ ? 1 e - ? . Wormhole fluid near throat is adopted to be anisotropic, redshift factor have a constant value. solve numerically Einstein field equations we derive suitable shape function for each MOG consideration by applying equation state $$p_t=\omega \rho $$ p t ? ? Furthermore, investigate null energy condition, weak strong condition with b ( r ). The stability wormholes also analyzed paper Tolman–Oppenheimer–Voklov equation. Besides, derived general formulas extra force that present MTOV due non-conserved stress-energy tensor.