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arXiv · 2308.05440

Static and spherically symmetric wormholes in metric-affine theories of gravity

Vittorio De Falco·Salvatore Capozziello
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Abstract

We consider static and spherically symmetric wormhole solutions in extended metric-affine theories of gravity supposing that stability and traversability of these objects can be achieved by means of the geometric degrees of freedom. In particular, we consider $f(R)$ metric, $f(T)$ teleparallel, and $f(Q)$ symmetric teleparallel models where curvature, torsion, and non-metricity rule entirely the background geometry without invoking any exotic energy-momentum tensor as matter field source. Starting from the flaring out and null energy conditions, we gather together a series of constraints which allow us to state that stable and traversable wormholes can be derived in a purely geometric approach resorting to modified gravity theories with more degrees of freedom than general relativity.

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Vittorio De Falco, Salvatore Capozziello. 2023-08-10. Static and spherically symmetric wormholes in metric-affine theories of gravity. https://doi.org/10.1103/physrevd.108.104030

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