Revisiting Wormhole Solutions in Unimodular Gravity: Energy Conditions and Exotic Matter Requirements

The paper entitled Unimodular Gravity Traversable Wormholes by Agrawal et al. examined the properties of barotropic wormholes without tidal forces within the framework of Unimodular Gravity. Our analysis demonstrates that their conclusion regarding the possibility of sustaining such wormhole configurations with ordinary matter is not entirely accurate. We establish that exotic matter remains necessary for these wormhole solutions in Unimodular Gravity, in accordance with the long-established theoretical constraints already identified in General Relativity.