Ghost from constraints: a generalization of Ostrogradsky theorem

DOI10.1088/1475-7516/2020/08/026zbMath1492.83023arXiv2001.06756OpenAlexW3100731740MaRDI QIDQ5070326

Hayato Motohashi, Katsuki Aoki

Publication date: 11 April 2022

Published in: Journal of Cosmology and Astroparticle Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06756

zbMATH Keywords

inflationmodified gravitydark energy theory

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Geometrodynamics and the holographic principle (83E05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Constrained dynamics, Dirac's theory of constraints (70H45) Linear higher-order PDEs (35G05) Degenerate hyperbolic equations (35L80) Lagrange's equations (70H03) Euler equations (35Q31) Dark matter and dark energy (83C56)

Related Items (5)

Inflation with 0 ≤ c _s ≤ 1 ⋮ Black hole perturbations in DHOST theories: master variables, gradient instability, and strong coupling ⋮ Black hole perturbations in higher-order scalar–tensor theories: initial value problem and dynamical stability ⋮ Reconsidering the Ostrogradsky theorem: higher-derivatives Lagrangians, ghosts and degeneracy ⋮ Stealth dark energy in scordatura DHOST theory

Cites Work

• On the quantisation of complex higher derivative theories and avoiding the Ostrogradsky ghost
• Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
• Living with ghosts in Hořava-Lifshitz gravity
• Ghost-free theories with arbitrary higher-order time derivatives
• Classical and quantum dynamics of higher-derivative systems
• Extended mimetic gravity: Hamiltonian analysis and gradient instabilities
• Varying the Horndeski Lagrangian within the Palatini approach
• Mimetic gravity as DHOST theories

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