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

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

Automated summary

We study Morris-Thorne static traversable wormhole solutions in different modified theories of gravity and derive suitable shape functions by numerically solving the Einstein field equations. The stability of Morris-Thorne wormholes and energy conditions are analyzed, and general formulas for the extra force in MTOV due to the non-conserved stress-energy tensor are derived.