Higher derivative theories with constraints: exorcising Ostrogradski's ghost

Tai-jun Chen; Matteo Fasiello; Eugene A. Lim; Andrew J. Tolley

doi:10.1088/1475-7516/2013/02/042

Higher derivative theories with constraints: exorcising Ostrogradski's ghost

Tai-jun Chen, Matteo Fasiello, Eugene A. Lim, Andrew J. Tolley

Institute of Cosmology & Gravitation

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that the linear instability in a non-degenerate higher derivative theory, the Ostrogradski instability, can only be removed by the addition of constraints if the original theory's phase space is reduced.

Original language	English
Article number	042
Number of pages	18
Journal	Journal of Cosmology and Astroparticle Physics
Volume	02
Issue number	2013
DOIs	https://doi.org/10.1088/1475-7516/2013/02/042
Publication status	Published - 26 Feb 2013

Keywords

hep-th
astro-ph.CO
gr-qc
math-ph
math.MP
modified gravity
gravity
quantum field theory on curved space

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10.1088/1475-7516/2013/02/042

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title = "Higher derivative theories with constraints: exorcising Ostrogradski's ghost",

abstract = "We prove that the linear instability in a non-degenerate higher derivative theory, the Ostrogradski instability, can only be removed by the addition of constraints if the original theory's phase space is reduced. ",

keywords = "hep-th, astro-ph.CO, gr-qc, math-ph, math.MP, modified gravity, gravity, quantum field theory on curved space",

author = "Tai-jun Chen and Matteo Fasiello and Lim, {Eugene A.} and Tolley, {Andrew J.}",

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AU - Chen, Tai-jun

AU - Fasiello, Matteo

AU - Lim, Eugene A.

AU - Tolley, Andrew J.

PY - 2013/2/26

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AB - We prove that the linear instability in a non-degenerate higher derivative theory, the Ostrogradski instability, can only be removed by the addition of constraints if the original theory's phase space is reduced.

KW - hep-th

KW - astro-ph.CO

KW - gr-qc

KW - math-ph

KW - math.MP

KW - modified gravity

KW - gravity

KW - quantum field theory on curved space

U2 - 10.1088/1475-7516/2013/02/042

DO - 10.1088/1475-7516/2013/02/042

M3 - Article

SN - 1475-7516

VL - 02

JO - Journal of Cosmology and Astroparticle Physics

JF - Journal of Cosmology and Astroparticle Physics

IS - 2013

M1 - 042

ER -

Higher derivative theories with constraints: exorcising Ostrogradski's ghost

Abstract

Keywords

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