No static spherically symmetric wormholes in Horndeski theory

Evseev, O. A.; Melichev, Oleg

doi:10.1103/physrevd.97.124040

Cited by 28 publications

(42 citation statements)

References 56 publications

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“…One might expect, by analogy to cosmological setting, that there is a no-go theorem in Horndeski theory. This expectation is confirmed in Horndeski theory: static, spherically symmetric, asymptotically flat wormholes are plagued with ghost and/or radial gradient instability [11,12]. By the same analogy, one might expect that the no-go theorem might be circumvented in beyond Horndeski theories, so that a fully stable wormhole might exist.…”

Section: Introductionmentioning

confidence: 80%

Towards wormhole beyond Horndeski

Mironov¹,

Rubakov²,

Volkova³

2018

EPJ Web Conf.

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We address the issue of whether a no-go theorem for static, spherically symmetric wormholes, proven in Horndeski theories, can be circumvented by going beyond Horndeski. We show that the ghost instabilities which are at the heart of the no-go theorem, can indeed be avoided. The wormhole solutions with the latter property are, however, strongly fine tuned, and hence it is likely that they are unstable. Furthermore, it remains unclear whether these solutions have other pathologies, like gradient instabilities along angular and radial direc-

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Section: Introductionmentioning

confidence: 80%

Towards wormhole beyond Horndeski

Mironov¹,

Rubakov²,

Volkova³

2018

EPJ Web Conf.

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“…The structure of the stability conditions for spherically symmetric solutions is analogous to that for cosmological solutions, which allows us to formulate the no-go theorem for stable wormholes in the Horndeski theory in a similar way to proving the no-go for nonsingular cosmologies introduced in Sec. 3.3 [301,302,133,303]. Also in the wormhole case, theories beyond Horndeski admit stable solutions [304,293].…”

Section: Black Holes In Horndeski Theory and Beyondmentioning

confidence: 99%

Horndeski theory and beyond: a review

2019

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This article is intended to review the recent developments in the Horndeski theory and its generalization, which provide us with a systematic understanding of scalar-tensor theories of gravity as well as a powerful tool to explore astrophysics and cosmology beyond general relativity. This review covers the generalized Galileons, (the rediscovery of) the Horndeski theory, cosmological perturbations in the Horndeski theory, cosmology with a violation of the null energy condition, degenerate higher-order scalar-tensor theories and their status after GW170817, the Vainshtein screening mechanism in the Horndeski theory and beyond, and hairy black hole solutions.

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“…It should be pointed out that many of these wormhole solutions were found to be unstable. For example a no-go theorem for wormholes has been proved for Horndeski gravity [23] which basically states that there are no stable static and spherically symmetric wormhole solutions in this theory (although this may not remain the case for the more general beyond Horndeski theories as shown in Ref. [24]).…”

Section: Introductionmentioning

confidence: 99%

Ellis wormhole without a phantom scalar field

2019

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In this paper, we present an exact solution for (3 + 1)-dimensional Einstein-scalar-Gauss-Bonnet theory (EsGB) in electrovacuum. The solution is characterized by only one parameter, Q, which in general can be associated with the electromagnetic field and the scalar field. We show that the solution corresponds to a charged wormhole with a throat at the region r = |Q| and is also supported by a real scalar field having a positive kinetic term. We show that the solution belongs to the most general class of solutions known as Ellis wormholes but without the need for "exotic matter" or a phantom scalar field.

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No static spherically symmetric wormholes in Horndeski theory

Abstract: We consider the Horndeski theory in four-dimensional space-time. We show that this theory does not admit stable, static, spherically symmetric, asymptotically flat, Lorentzian wormholes. *

Cited by 28 publications

References 56 publications

Towards wormhole beyond Horndeski

Towards wormhole beyond Horndeski

Horndeski theory and beyond: a review

Ellis wormhole without a phantom scalar field

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