22-38 Vaibhav Kalvakota
An outlook of shape functions and $f(R)$ gravity for Morris-Thorne wormhole solutions (480K, PDF) Jul 25, 22
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Abstract. Recent investigations into wormhole solutions in modified gravity have shown that the primary topological features of such solutions is the "shape function", which determines the topological structure of these wormholes. In particular, $f(R)$ theories of gravity allow us to understand such models and to understand the nature of such solutions by extending General relativity into an arbitrary class of functions of the Ricci scalar. In this paper, we will discuss shape functions of different models and the nature of energy conditions for such models by finding out the energy condition parameters.

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