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.

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

References in corpus (21)

• Modified-gravity wormholes without exotic matter
• Wormholes supported by hybrid metric-Palatini gravity
• Generalized energy conditions in Extended Theories of Gravity
• Black holes in $f(\mathbb{Q})$ Gravity
• Comparing Equivalent Gravities: common features and differences
• Reconstructing wormhole solutions in curvature based Extended Theories of Gravity
• Testing wormhole solutions in extended gravity through the Poynting-Robertson effect
• General relativistic Poynting-Robertson effect to diagnose wormholes existence: static and spherically symmetric case
• No realistic wormholes from ghost-free scalar-tensor phantom dark energy
• Astrophysical Wormholes
• Reflection-asymmetric wormholes and their double shadows
• A class of static spherically symmetric solutions in $f(Q)$-gravity
• Epicyclic frequencies in static and spherically symmetric wormhole geometries
• Traversable wormholes in the extended teleparallel theory of gravity with matter coupling
• Non-Local Gravity Wormholes
• Wormhole solutions with a polynomial equation-of-state and minimal violation of the null energy condition
• The $3+1$ Formalism in the Geometric Trinity of Gravity
• Static phantom wormholes of finite size
• Traversable wormholes in beyond Horndeski theories
• Epicyclic frequencies in the equatorial plane around stationary and axially symmetric wormhole geometries
• Stable phantom energy traversable wormhole models

Cited by in corpus (16)

• A Study of stable wormhole solution with non-commutative geometry in the framework of linear $f(R,{\mathcal{L}}_m,T)$ gravity
• 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