Ghost free massive gravity with a general reference metric
2012 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 2, 026- p.Article in journal (Refereed) Published
Theories of massive gravity inevitably include an auxiliary reference metric. Generically, they also contain an inconsistency known as the Boulware-Deser ghost. Recently, a family of non-linear massive gravity actions, formulated with a flat reference metric, were proposed and shown to be ghost free at the complete non-linear level. In this paper we consider these non-linear massive gravity actions but now formulated with a general reference metric. We extend the proof of the absence of the Boulware-Deser ghost to this case. The analysis is carried out in the ADM formalism at the complete non-linear level. We show that in these models there always exists a Hamiltonian constraint which, with an associated secondary constraint, eliminates the ghost. This result considerably extends the range of known consistent non-linear massive gravity theories. In addition, these theories can also be used to describe a massive spin-2 field in an arbitrary, fixed gravitational background. We also discuss the positivity of the Hamiltonian.
Place, publisher, year, edition, pages
2012. no 2, 026- p.
Classical Theories of Gravity, Cosmology of Theories beyond the SM
Astronomy, Astrophysics and Cosmology
IdentifiersURN: urn:nbn:se:su:diva-80131DOI: 10.1007/JHEP02(2012)026ISI: 000301451200026OAI: oai:DiVA.org:su-80131DiVA: diva2:553190