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Consistent Nonlinear Interactions for the Graviton
Stockholm University, Faculty of Science, Department of Physics.
2012 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis investigates various aspects of massive gravity and bimetric gravity which be- long to a certain class of modifications of general relativity. It provides an introduction to linear massive gravity in flat backgrounds, before reviewing the construction of consistent nonlinear massive gravity that avoids the Boulware-Deser ghost instability. We discuss the structure of the ghost-free action and summarize the consistency proofs for massive gravity in arbitrary backgrounds, using two different formulations. Thereafter we reca- pitulate the generalization of massive gravity to consistent bimetric models of gravity, in which we then solve the equations of motion with a homogeneous, isotropic ansatz and discuss implications for cosmology.

Place, publisher, year, edition, pages
Department of Physis, Stockholm University , 2012. , 63 p.
National Category
Astronomy, Astrophysics and Cosmology
Identifiers
URN: urn:nbn:se:su:diva-77173OAI: oai:DiVA.org:su-77173DiVA: diva2:530229
Available from: 2013-01-30 Created: 2012-06-01 Last updated: 2013-01-30Bibliographically approved
List of papers
1. Proof of consistency of nonlinear massive gravity in the Stuckelberg formulation
Open this publication in new window or tab >>Proof of consistency of nonlinear massive gravity in the Stuckelberg formulation
2012 (English)In: Physics Letters B, ISSN 0370-2693, E-ISSN 1873-2445, Vol. 715, no 4-5, 335-339 p.Article in journal (Refereed) Published
Abstract [en]

We address some recent concerns about the absence of the Boulware-Deser ghost in the Stuckelberg formulation of nonlinear massive gravity. First we provide general arguments for why any ghost analysis in the Stuckelberg formulation has to agree with existing consistency proofs that have been carried out without using Stuckelberg fields. We then demonstrate the absence of the ghost at the completely nonlinear level in the Stuckelberg formulation of the minimal massive gravity action. The constraint that removes the ghost field and the associated secondary constraint that eliminates its conjugate momentum are computed explicitly, confirming the consistency of the theory in the Stuckelberg formulation.

Keyword
Massive gravity
National Category
Physical Sciences
Research subject
Theoretical Physics
Identifiers
urn:nbn:se:su:diva-81262 (URN)10.1016/j.physletb.2012.07.018 (DOI)000308617500010 ()
Note

AuthorCount:3;

Available from: 2012-10-15 Created: 2012-10-15 Last updated: 2017-12-07Bibliographically approved
2. Cosmological solutions in bimetric gravity and their observational tests
Open this publication in new window or tab >>Cosmological solutions in bimetric gravity and their observational tests
Show others...
2012 (English)In: Journal of Cosmology and Astroparticle Physics, ISSN 1475-7516, E-ISSN 1475-7516, no 3, 042- p.Article in journal (Refereed) Published
Abstract [en]

We obtain the general cosmological evolution equations for a classically consistent theory of bimetric gravity. Their analytic solutions are demonstrated to generically allow for a cosmic evolution starting out from a matter dominated FLRW universe and relaxing towards a de Sitter (anti-de Sitter) phase at late cosmic time. In particular, we examine a subclass of models which contain solutions that are able to reproduce the expansion history of the cosmic concordance model inspite of the nonlinear couplings of the two metrics. This is demonstrated explicitly by fitting these models to observational data from Type Ia supernovae, Cosmic Microwave Background and Baryon Acoustic Oscillations. In the appendix we comment on the relation to massive gravity.

Keyword
modified gravity, dark energy theory
National Category
Astronomy, Astrophysics and Cosmology
Research subject
Theoretical Physics
Identifiers
urn:nbn:se:su:diva-83245 (URN)10.1088/1475-7516/2012/03/042 (DOI)000302949600042 ()
Available from: 2012-12-06 Created: 2012-12-06 Last updated: 2017-12-07Bibliographically approved
3. Ghost free massive gravity with a general reference metric
Open this publication in new window or tab >>Ghost free massive gravity with a general reference metric
2012 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 2, 026- p.Article in journal (Refereed) Published
Abstract [en]

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.

Keyword
Classical Theories of Gravity, Cosmology of Theories beyond the SM
National Category
Astronomy, Astrophysics and Cosmology
Identifiers
urn:nbn:se:su:diva-80131 (URN)10.1007/JHEP02(2012)026 (DOI)000301451200026 ()
Note

AuthorCount:3;

Available from: 2012-09-18 Created: 2012-09-12 Last updated: 2017-12-07Bibliographically approved

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