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Note on Covariant Stückelberg Formalism and Absence of Boulware-Deser Ghost in Bi-gravity

2016/02/09 by Toshifumi Noumi, Noumi, Toshifumi, Masahide Yamaguchi +3
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.1602.03132

11 pages

arxiv created 2016/02/09 · openalex publication_date 2016/02/09 · arxiv updated 2016/02/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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