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

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.

arXiv comment10 pages, 1 table; accepted for publication on Phys. Rev. D

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• Wormhole formations in the galactic halos supported by dark matter models and global monopole charge within $f(Q)$ gravity
• Noncommutative wormhole in de Rham-Gabadadze-Tolley like massive gravity
• Catenoid Inspired Hyperbolic Wormhole Geometry
• Shadows and photon spheres in static and rotating traversable wormholes
• Charged Wormhole Solutions in 4D Einstein-Gauss-Bonnet Gravity
• Linearized Stability of Harada Thin-Shell Wormholes
• Dark energy from topology change induced by microscopic Gauss-Bonnet wormholes
• Background-dependent and classical correspondences between $f(Q)$ and $f(T)$ gravity
• Existence of Vacuum Wormholes in Einsteinian Cubic Gravity
• Black holes in $f(R)$ gravity coupled to nonlinear electromagnetic fields
• Wormhole Solutions in deformed space-time
• Charged traversable wormholes: charge without charge
• Wormholes in the Non-minimally Coupled Gravity with Electromagnetism
• Field Sources for Generalized Ellis-Bronnikov Wormhole
• Axion boson stars with wormhole topology