Note on Covariant Stückelberg Formalism and Absence of Boulware-Deser Ghost in Bi-gravity
arXiv:1602.03132
Abstract
The covariant Stückelberg formalism is applied to bi-gravity in order to revisit the issue of absence of the Boulware-Deser (BD) ghost. We first confirm that the leading order action in the decoupling limit for helicity-2 modes of metrics and helicity-0 mode of Stückelberg perturbations does not lead to higher time derivative in equations of motion, which suggests the absence of the BD ghost. By extending this method, we reconfirm that the BD ghost does not appear for arbitrary order of the perturbations at the decoupling limit in bi-gravity.
arXiv comment11 pages
References in corpus (14)
- The galileon as a local modification of gravity
- Resummation of Massive Gravity
- Generalization of the Fierz-Pauli Action
- Bimetric Gravity from Ghost-free Massive Gravity
- Resolving the Ghost Problem in non-Linear Massive Gravity
- Effective Field Theory for Inflation
- Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
- On Non-Linear Actions for Massive Gravity
- Massive Gravity on de Sitter and Unique Candidate for Partially Massless Gravity
- The Theorem of Ostrogradsky
- Complete Decoupling Limit of Ghost-free Massive Gravity
- Covariant Approach to the No-ghost Theorem in Massive Gravity
- Covariant Stückelberg analysis of de Rham-Gabadadze-Tolley massive gravity with a general fiducial metric
- On covariant expansion of the gravitational Stückelberg trick