Reconstructing wormhole solutions in curvature based Extended Theories of Gravity

Abstract

Static and spherically symmetric wormhole solutions can be reconstructed in the framework of curvature based Extended Theories of Gravity. In particular, extensions of the General Relativity, in metric and curvature formalism give rise to modified gravitational potentials, constituted by the classical Newtonian potential and Yukawa-like corrections, whose parameters can be, in turn, gauged by the observations. Such an approach allows to reconstruct the spacetime out of the wormhole throat considering the asymptotic flatness as a physical property for the related gravitational field. Such an argument can be applied for a large class of curvature theories characterising the wormholes through the parameters of the potentials. According to this procedure, possible wormhole solutions could be observationally constrained. On the other hand, stable and traversable wormholes could be a direct probe for this class of Extended Theories of Gravity.

9 pages; 2 figures; 1 Table; accepted on EPJ C

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Cited by in corpus (8)

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• Non-Local Gravity Wormholes
• Static and spherically symmetric wormholes in metric-affine theories of gravity
• Traversable wormhole models in $f(R)$ gravity
• Epicyclic frequencies in the equatorial plane around stationary and axially symmetric wormhole geometries
• Impact of dark matter galactic halo models on wormhole geometry within $f(Q,T)$ gravity
• Lorentzian wormhole in the framework of loop quantum cosmology
• Yukawa-Casimir Wormholes