Abstract
We discuss whether it is possible to construct a stable, static, spherically symmetric Lorentzian wormhole in beyond Horndeski theory. The deep analogy between the cosmological bounce and wormhole scenarios is described in detail. We show explicitly that going beyond Horndeski enables one to evade the no-go theorem formulated for the wormholes in the general Horndeski case.
Highlights
Introduction and SummaryDespite being purely hypothetical space objects, wormholes are quite peculiar for numerous reasons [1,2,3]
In this note we review the latest results of Refs. [25,26]1, which demonstrated that beyond Horndeski terms in the Lagrangian enable one to evade the no-go theorem for wormholes
This review aims to highlight the similarities between the cosmological bounce and static, spherically symmetric wormhole settings within beyond Horndeski theories
Summary
Despite being purely hypothetical space objects, wormholes are quite peculiar for numerous reasons [1,2,3]. This review aims to highlight the similarities between the cosmological bounce and static, spherically symmetric wormhole settings within beyond Horndeski theories. We mainly focus on a healthy behaviour of beyond Horndeski theory at the linearized level in both settings, comparing the corresponding stability conditions It occurs that the central stability requirements coincide in both cases as well as the mechanism of evading the no-go theorems is identical. This makes the analogy between the bounce and wormhole even deeper. We show explicitly the way to circumvent the no-go theorem in the case of a wormhole solution
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