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Higher derivative theories with constraints : Exorcising Ostrogradski's Ghost
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Higher derivative theories with constraints : Exorcising Ostrogradski's Ghost
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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.
Forward citations
Cited by 2 Pith papers
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Canonical quantization of the Pais-Uhlenbeck oscillator with a higher-derivative perturbation: a covariant phase space approach
A covariant phase-space perturbation scheme for the Pais-Uhlenbeck oscillator reproduces the exact low-energy spectrum and commutator while decoupling the Ostrogradsky ghost.
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Testing General Relativity with Present and Future Astrophysical Observations
A review summarizing modified theories of gravity, their effects on compact objects, existing bounds from astrophysical observations, and the promise of future gravitational wave tests for strong-field gravity.
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