Abstract:

The energy conditions in general relativity are a set of conditions in general relativity that determine the physical nature of the model. Singularities and wormhole solutions are two fields where these energy conditions play a key role in the physical significance of the theories-in the case of singularities, energy conditions are necessary to determine the possibility of the existence of singularities in a model, while in the case of wormhole solutions energy conditions are violated in classical general relativity. Here we shall discuss these two aspects globally, i.e. we shall discuss briefly how these structures behave and what their geometric structure is.

Note: Essay written for the Gravity Research Foundation 2022 Awards for Essays on Gravitation