Speaker
Description
In this presentation, we investigate traversable wormhole spacetimes within the context of $f(R,T_{ab}T^{ab})$ modified-gravity theory. By considering a linear form of the function, we demonstrate the existence of numerous wormhole solutions where the matter fields satisfy all energy conditions. However, due to the lack of natural localization of these solutions, it is necessary to match them with an external vacuum spacetime. To address this, we derive the junction conditions for the theory and perform a matching of the interior wormhole spacetime with an exterior vacuum described by the Schwarzschild solution. Additionally, we show that this approach can be generalized to more complex dependencies of the function, provided there are no crossed terms between $R$ and $T_{ab}T^{ab}$, and that it is linear in $R$.
