Relativity and Cosmology

    

Traversability and Energy Constraints of a Traversable Wormhole in f(R) Gravity

Authors: Raghav Krishna

This paper investigates the traversability and energy constraints of wormholes under f(R) gravity, an alternative to Einstein's General Relativity. By numerically solving the modified Einstein field equations, we demonstrate that the required exotic matter can be significantly reduced through curvature modifications. The study analyzes tidal forces, showing that human traversability is possible with accelerations below 50 m/s² at a distance of 1000 km from the throat. Energy requirements are estimated at 3.77 × 10¹u2076 J (equivalent to 9 megatons of TNT), far lower than previous classical models. The findings suggest that f(R) gravity provides a more feasible framework for future wormhole research, with possible stabilization via Casimir effects. This work contributes to the theoretical groundwork for constructing traversable wormholes in modified gravity theories.

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[v1] 2025-02-27 19:43:20

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