Higher derivative scalar tensor theory in unitary gauge
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Publication:5099190
DOI10.1088/1475-7516/2022/03/022zbMATH Open1504.83026arXiv2111.11791OpenAlexW3216667320MaRDI QIDQ5099190
Author name not available (Why is that?)
Publication date: 31 August 2022
Published in: (Search for Journal in Brave)
Abstract: Ostrogradsky instability generally appears in nondegenerate higher-order derivative theories and this issue can be resolved by removing any existing degeneracy present in such theories. We consider an action involving terms that are at most quadratic in second derivatives of the scalar field and non-minimally coupled with the curvature tensors. We perform a 3+1 decomposition of the Lagrangian to separate second-order time derivative terms from rest. This decomposition is useful for checking the degeneracy hidden in the Lagrangian and helps us find conditions under which Ostrogradsky instability does not appear. We show that our construction of Lagrangian resembles that of a GR-like theory for a particular case in the unitary gauge. As an example, we calculate the equation of motion for the flat FRW. We also write the action for open and closed cases, free from higher derivatives for a particular choice derived from imposing degeneracy conditions.
Full work available at URL: https://arxiv.org/abs/2111.11791
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