Modified-gravity wormholes without exotic matter

Abstract

A fundamental ingredient in wormhole physics is the flaring-out condition at the throat which, in classical general relativity, entails the violation of the null energy condition. In this work, we present the most general conditions in the context of modified gravity, in which the matter threading the wormhole throat satisfies all of the energy conditions, and it is the higher order curvature terms, which may be interpreted as a gravitational fluid, that support these nonstandard wormhole geometries. Thus, we explicitly show that wormhole geometries can be theoretically constructed without the presence of exotic matter, but are sustained in the context of modified gravity.

4 pages. V2: Slight change in title, discussion on the stability and references added; version to appear in PRD. V3: reference added

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Cited by in corpus (19)

• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition
• Wormholes in viable $f(R)$ modified theories of gravity and Weak Energy Condition
• Non-exotic matter wormholes in a trace of the energy-momentum tensor squared gravity
• Higher-dimensional evolving wormholes satisfying the null energy condition
• Wormholes and black universes without phantom fields in Einstein-Cartan theory
• Wormholes minimally violating the null energy condition
• Exact wormhole solutions with nonminimal kinetic coupling
• Boson Stars with Nontrivial Topology
• Wormholes with fluid sources: A no-go theorem and new examples
• Non-minimal Coupling of Torsion-matter Satisfying Null Energy Condition for Wormhole Solutions
• Uniqueness theorem for static wormholes in Einstein-phantom scalar field theory
• Extended Theories of Gravity with Generalized Energy Conditions
• Giant wormholes in ghost-free bigravity theory
• Quantum Corrected Schwarzschild Thin Shell Wormhole
• Five dimensional cosmological traversable wormhole
• Existence of Static Wormholes in $f(\mathcal{G},T)$ Gravity
• Thin-shell toroidal wormhole
• Wormhole solutions of RDM model