Ghost free massive gravity with a general reference metric

Hassan, S. FawadStockholms universitet,Fysikum,Oskar Klein-centrum för kosmopartikelfysik (OKC) (författare)

AuthorCount:3;
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.

Rosen, Rachel A. (författare)
Schmidt-May, AngnisStockholms universitet,Fysikum,Oskar Klein-centrum för kosmopartikelfysik (OKC)(Swepub:su)aschm (författare)
Stockholms universitetFysikum (creator_code:org_t)

Av författaren/redakt...: Hassan, S. Fawad; Rosen, Rachel A.; Schmidt-May, Ang ...

Om ämnet

Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.