Generalized massive gravity in arbitrary dimensions and its Hamiltonian formulation

Journal Article · Thu Aug 01 04:00:00 EDT 2013 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2013/08/050· OSTI ID:22282742

Huang, Qing-Guo; Zhang, Ke-Chao ^[1]; Zhou, Shuang-Yong ^[2]

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1. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100190 (China)
2. SISSA, Via Bonomea 265, 34136, Trieste (Italy)

We extend the four-dimensional de Rham-Gabadadze-Tolley (dRGT) massive gravity model to a general scalar massive-tensor theory in arbitrary dimensions, coupling a dRGT massive graviton to multiple scalars and allowing for generic kinetic and mass matrix mixing between the massive graviton and the scalars, and derive its Hamiltonian formulation and associated constraint system. When passing to the Hamiltonian formulation, two different sectors arise: a general sector and a special sector. Although obtained via different ways, there are two second class constraints in either of the two sectors, eliminating the BD ghost. However, for the special sector, there are still ghost instabilities except for the case of two dimensions. In particular, for the special sector with one scalar, there is a ''second BD ghost''.

• OSTI ID: 22282742
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 08 Vol. 2013; ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

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LIMITING VALUES
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