Double gravitational layer traversable wormholes in hybrid metric-Palatini gravity

Abstract

In this work, we explore the existence of traversable wormhole solutions supported by double gravitational layer thin-shells and satisfying the Null Energy Condition (NEC) throughout the whole spacetime, in a quadratic-linear form of the generalized hybrid metric-Palatini gravity. We start by showing that for a particular quadratic-linear form of the action, the junction conditions on the continuity of the Ricci scalar $R$ and the Palatini Ricci scalar $\mathcal{R}$ of the theory can be discarded without the appearance of undefined distribution terms in the field equations. As a consequence, a double gravitational layer thin-shell arises at the separation hypersurface. We then outline a general method to find traversable wormhole solutions satisfying the NEC at the throat and provide an example. Finally, we use the previously derived junction conditions to match the interior wormhole solution to an exterior vacuum and asymptotic flat solution, thus obtaining a full traversable wormhole solution supported by a double gravitational layer thin-shell and satisfying the NEC. Unlike the wormhole solutions previously obtained in the scalar-tensor representation of this theory, which were scarce and required fine-tuning, the solutions obtained through this method are numerous and exist for a wide variety of metrics and actions.

10 pages, 1 figure

References in corpus (25)

• Traversable wormholes: Some simple examples
• Wormhole geometries in f(R) modified theories of gravity
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• Modified-gravity wormholes without exotic matter
• Wormholes supported by hybrid metric-Palatini gravity
• Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Warp drive basics
• Junction Conditions in f(R) Theories of Gravity
• Brans-Dicke wormholes in the Jordan and Einstein frames
• A general class of braneworld wormholes
• Cosmology of hybrid metric-Palatini f(X)-gravity
• General class of wormhole geometries in conformal Weyl gravity
• Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
• Self sustained phantom wormholes in semi-classical gravity
• Self-sustained traversable wormholes in noncommutative geometry
• Junction conditions and thin-shells in perfect-fluid $f\left(R,T\right)$ gravity
• Palatini formulation of pure $R^2$ gravity yields Einstein gravity with no massless scalar
• Existence and stability of relativistic fluid spheres supported by thin shells
• Sudden singularities in generalized hybrid metric-Palatini cosmologies
• Weak-field regime of the generalized hybrid metric-Palatini gravity
• Unified approach to the entropy of an extremal rotating BTZ black hole: Thin shells and horizon limits
• Thermodynamics of extremal rotating thin shells in an extremal BTZ spacetime and the extremal black hole entropy
• Cosmic strings in generalized hybrid metric-Palatini gravity

Cited by in corpus (21)

• Generalized uncertainty principle corrections in Rastall-Rainbow Casimir wormholes
• Traversable Wormhole in Einstein 3-Form Theory With Self-Interacting Potential
• Non-exotic traversable wormholes in $f\left(R,T_{ab}{T}^{ab}\right)$ gravity
• Junction conditions for generalized hybrid metric-Palatini gravity with applications
• A Review of Stable, Traversable Wormholes in f (R) Gravity Theories
• Energy-Momentum Squared Gravity: A Brief Overview
• Junction conditions of Palatini $f\left(\mathcal{R},T\right)$ gravity
• Weak-field regime of the generalized hybrid metric-Palatini gravity
• Traversable wormholes with double layer thin shells in quadratic gravity
• Junction conditions in gravity theories with extra scalar degrees of freedom
• Cosmic strings in generalized hybrid metric-Palatini gravity
• Dynamical reconstruction of the $\Lambda$CDM model in hybrid metric-Palatini gravity
• Stealth Ellis Wormholes In Horndeski theories
• Shadows and photon spheres in static and rotating traversable wormholes
• Charged Wormhole Solutions in 4D Einstein-Gauss-Bonnet Gravity
• Wormholes with matter haunted by conformally coupled ghosts
• Junction conditions for LRS spacetimes in the $1+1+2$ covariant formalism
• Gravitational wave propagation in generalized hybrid metric-Palatini gravity
• Horizons, throats and bounces in hybrid metric-Palatini gravity with a non-zero potential
• Sculpting Spacetime: Thin Shells in Wormhole Physics
• Vector wormholes as conduits for matter interaction