Revisiting Weak Energy Condition and wormholes in Brans-Dicke gravity

Abstract

It is known that the formation of a wormhole typically involves a violation of the Weak Energy Condition (WEC), but the reverse is not necessarily true. In the context of Brans-Dicke gravity, the $\text{generalized}$ Campanelli-Lousto solution, which we shall unveil in this paper, demonstrates a WEC violation that coincides with the appearance of $\text{unbounded}$ sheets of spacetime within the "interior" section. The emergence of a wormhole in the "exterior" section is thus only an indirect consequence of the WEC violation. Additionally, we use the generalized Campanelli-Lousto solution to construct a Kruskal-Szekeres diagram, which exhibits a "gulf" sandwiched between the four quadrants in the diagram, a novel feature in Brans-Dicke gravity. Overall, our findings shed new light onto a complex interplay between the WEC and wormholes in the Brans-Dicke theory.

Final version

References in corpus (23)

• Is the gravitational-wave ringdown a probe of the event horizon?
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• Natural Wormholes as Gravitational Lenses
• Echoes of Kerr-like wormholes
• The Shadow of a Rotating Traversable Wormhole
• Thin accretion disks in stationary axisymmetric wormhole spacetimes
• Energy conditions in general relativity and quantum field theory
• Traversable wormholes in Einstein-Dirac-Maxwell theory
• Brans wormholes
• Wormholes, the weak energy condition, and scalar-tensor gravity
• Ring-down gravitational waves and lensing observables: How far can a wormhole mimic those of a black hole?
• "Are Black Holes in Brans-Dicke Theory precisely the same as in General Relativity?"
• Strong field gravitational lensing in scalar tensor theories
• Gravitational lensing by wormholes supported by electromagnetic, scalar, and quantum effects
• Exotica ex nihilo: Traversable wormholes & non-singular black holes from the vacuum of quadratic gravity
• Epicyclic frequencies in static and spherically symmetric wormhole geometries
• Gravitinos Tunneling From Traversable Lorentzian Wormholes
• Constraining Wormhole Geometries using the Orbit of S2 Star and the Event Horizon Telescope
• Revisiting the Brans solutions of scalar-tensor gravity
• Traversable Morris-Thorne-Buchdahl wormholes in quadratic gravity
• The Campanelli-Lousto and veiled spacetimes
• Beyond Schwarzschild-de Sitter spacetimes: I. A new exhaustive class of metrics inspired by Buchdahl for pure $R^2$ gravity in a compact form
• Stability Aspects of Wormholes in $R^2$ Gravity

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• Interacting dark sector with quadratic coupling: theoretical and observational viability
• Can wormhole spacetimes in Unimodular Gravity be supported by ordinary matter? A general proof of the exotic matter requirement