More about wormholes in generalized Galileon theories

Rubakov, V. A.

doi:10.1134/s0040577916080080

Cited by 35 publications

(45 citation statements)

References 37 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: 81%

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: 81%

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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“…These two sectors are decoupled at linear order and can be studied separately. 9 Although the sector that is typically affected by ghost-like instabilities in Horndeski theories is the even one [17][18][19], for the sake of completeness we will start by briefly reviewing the stability properties of the odd sector.…”

Section: Stability Of Wormhole Solutionsmentioning

confidence: 99%

Stable wormholes in scalar-tensor theories

Franciolini¹,

Hui

Penco

et al. 2019

J. High Energ. Phys.

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We reconsider the issue of whether scalar-tensor theories can admit stable wormhole configurations supported by a non-trivial radial profile for the scalar field. Using a recently proposed effective theory for perturbations around static, spherically symmetric backgrounds, we show that scalar-tensor theories of "beyond Horndeski" type can have wormhole solutions that are free of ghost and gradient instabilities. Such solutions are instead forbidden within the more restrictive "Horndeski" class of theories.

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More about wormholes in generalized Galileon theories

Abstract: We consider a class of generalized Galileon theories within General Relativity in space-times of more than two spatial dimensions. We show that these theories do not admit stable, static, spherically symmetric, asymptotically flat and traversable Lorentzian wormholes.

Cited by 35 publications

References 37 publications

Towards wormhole beyond Horndeski

Towards wormhole beyond Horndeski

Horndeski theory and beyond: a review

Stable wormholes in scalar-tensor theories

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