Mathematical Formulation of the No-Go Theorem in Horndeski Theory

We present a brief mathematical-like formulation of the no-go theorem, useful for bouncing and wormhole solutions in Horndeski theory. The no-go theorem is almost identical in the cases of flat FLRW geometry and static, spherically symmetric setting, hence, we generalize the argument of the theorem...

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Main Author: Sergey Mironov
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/5/2/52
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author Sergey Mironov
author_facet Sergey Mironov
author_sort Sergey Mironov
collection DOAJ
description We present a brief mathematical-like formulation of the no-go theorem, useful for bouncing and wormhole solutions in Horndeski theory. The no-go theorem is almost identical in the cases of flat FLRW geometry and static, spherically symmetric setting, hence, we generalize the argument of the theorem so that it has consise and universal form. We also give a strict mathematical proof of the no-go argument.
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spelling doaj.art-d01023f737b14de7935d5e66b9aa2f292022-12-22T02:57:22ZengMDPI AGUniverse2218-19972019-02-01525210.3390/universe5020052universe5020052Mathematical Formulation of the No-Go Theorem in Horndeski TheorySergey Mironov0Institute for Nuclear Research of the Russian Academy of Sciences, 60th October Anniversary Prospect, 7a, 117312 Moscow, RussiaWe present a brief mathematical-like formulation of the no-go theorem, useful for bouncing and wormhole solutions in Horndeski theory. The no-go theorem is almost identical in the cases of flat FLRW geometry and static, spherically symmetric setting, hence, we generalize the argument of the theorem so that it has consise and universal form. We also give a strict mathematical proof of the no-go argument.https://www.mdpi.com/2218-1997/5/2/52stability conditionsstrong couplingghosts and gradient instabilitiesbouncing cosmologies and wormhole solutions
spellingShingle Sergey Mironov
Mathematical Formulation of the No-Go Theorem in Horndeski Theory
Universe
stability conditions
strong coupling
ghosts and gradient instabilities
bouncing cosmologies and wormhole solutions
title Mathematical Formulation of the No-Go Theorem in Horndeski Theory
title_full Mathematical Formulation of the No-Go Theorem in Horndeski Theory
title_fullStr Mathematical Formulation of the No-Go Theorem in Horndeski Theory
title_full_unstemmed Mathematical Formulation of the No-Go Theorem in Horndeski Theory
title_short Mathematical Formulation of the No-Go Theorem in Horndeski Theory
title_sort mathematical formulation of the no go theorem in horndeski theory
topic stability conditions
strong coupling
ghosts and gradient instabilities
bouncing cosmologies and wormhole solutions
url https://www.mdpi.com/2218-1997/5/2/52
work_keys_str_mv AT sergeymironov mathematicalformulationofthenogotheoreminhorndeskitheory