Existence of Vacuum Wormholes in Einsteinian Cubic Gravity

Abstract

Wormhole solutions in gravitational theories typically require exotic matter. Here we present a wormhole solution to the field equations of Einsteinian Cubic Gravity -- a phenomenological competitor to general relativity that includes terms cubic in the curvature -- that has no matter, exotic or otherwise. These purely gravitational wormhole geometries are asymptotically AdS but contain a geometric deficit at infinity. The deficit, interpreted as a global monopole, plays an essential role in our construction. We find that our wormhole solution satisfies traversablility criteria. We also find, for different parameters, a range of possible wormhole solutions.

References added

References in corpus (27)

• Modified-gravity wormholes without exotic matter
• Black Holes in Quasi-topological Gravity
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• Einsteinian cubic gravity
• Static spherically symmetric solutions in mimetic gravity: rotation curves & wormholes
• Reconstructing wormhole solutions in curvature based Extended Theories of Gravity
• Four-dimensional black holes in Einsteinian cubic gravity
• Generalized quasi-topological gravity
• Black holes in Einsteinian cubic gravity
• Shadows, Signals, and Stability in Einsteinian Cubic Gravity
• Black Holes in (Quartic) Quasitopological Gravity
• Generalized uncertainty principle corrections in Rastall-Rainbow Casimir wormholes
• (Generalized) quasi-topological gravities at all orders
• Spin, torsion and violation of null energy condition in traversable wormholes
• Quintic quasi-topological gravity
• Non-exotic traversable wormhole solutions in linear $f\left(R,T\right)$ gravity
• Universal black hole stability in four dimensions
• Birkhoff's Theorem in Higher Derivative Theories of Gravity
• Static and spherically symmetric wormholes in metric-affine theories of gravity
• On the classification of Generalized Quasitopological Gravities
• Black hole chemistry and holography in generalized quasi-topological gravity
• On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography
• Criticality for charged black branes
• Non-exotic traversable wormholes in $f\left(R,T_{ab}{T}^{ab}\right)$ gravity
• Birkhoff's Theorem in Higher Derivative Theories of Gravity II: Asymptotically Lifshitz Black Holes
• A Review of Stable, Traversable Wormholes in f (R) Gravity Theories
• Gravitational Wormholes

Cited by in corpus (3)

• Catenoid Inspired Hyperbolic Wormhole Geometry
• Black holes and wormholes in Deser-Woodard gravity
• Non-minimal matter sector couplings in Lorentz-violating gravity: Self-consistent traversable wormholes and quasinormal modes