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Ghost free massive gravity with a general reference metric
Stockholm University, Faculty of Science, Department of Physics. Stockholm University, Faculty of Science, The Oskar Klein Centre for Cosmo Particle Physics (OKC).
Stockholm University, Faculty of Science, Department of Physics. Stockholm University, Faculty of Science, The Oskar Klein Centre for Cosmo Particle Physics (OKC).
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.

Place, publisher, year, edition, pages
2012. no 2, 026- p.
Keyword [en]
Classical Theories of Gravity, Cosmology of Theories beyond the SM
National Category
Astronomy, Astrophysics and Cosmology
Identifiers
URN: urn:nbn:se:su:diva-80131DOI: 10.1007/JHEP02(2012)026ISI: 000301451200026OAI: oai:DiVA.org:su-80131DiVA: diva2:553190
Note

AuthorCount:3;

Available from: 2012-09-18 Created: 2012-09-12 Last updated: 2017-12-07Bibliographically approved
In thesis
1. Consistent Nonlinear Interactions for the Graviton
Open this publication in new window or tab >>Consistent Nonlinear Interactions for the Graviton
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:nbn:se:su:diva-77173 (URN)
Available from: 2013-01-30 Created: 2012-06-01 Last updated: 2013-01-30Bibliographically approved
2. Classically Consistent Theories of Interacting Spin-2 Fields
Open this publication in new window or tab >>Classically Consistent Theories of Interacting Spin-2 Fields
2013 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This doctoral thesis comprises a study of recently developed nonlinear theories for massive spin-2 fields that go by the names of Massive Gravity and Bimetric Theory. As we demonstrate in a Hamiltonian analysis, the construction of these theories avoids the notorious Boulware-Deser ghost instability that generically plagues nonlinear spin-2 interactions and renders their description inconsistent. We explore the mass spectrum of ghost-free Bimetric Theory and reformulate its action in terms of nonlinear mass eigenstates. A generalized version of the theory with multiple vielbein interactions is reviewed and then reexpressed in terms of metrics. Homogeneous and isotropic solutions to the equations of motion in Bimetric Theory are derived and discussed in the context of cosmology. We furthermore single out particular values for the parameters in the bimetric interaction potential for which the theory could potentially contain an additional gauge redundancy. This establishes a unique candidate for a nonlinear theory of a partially massless spin-2 field. Finally, we reveal a close connection of Bimetric Theory to a certain class of higher-curvature theories for gravity and offer a solution to their ghost problems. In particular we find that, in four space-time dimensions, the bimetric candidate for nonlinear partial masslessness is closely related to Conformal Gravity.

Place, publisher, year, edition, pages
Stockholm: Department of Physics, Stockholm University, 2013. 134 p.
National Category
Physical Sciences
Research subject
Theoretical Physics
Identifiers
urn:nbn:se:su:diva-96167 (URN)978-91-7447-791-7 (ISBN)
Public defence
2013-12-12, sal FA32, AlbaNova Universitetscentrum, Roslagstullsbacken 21, Stockholm, 13:30 (English)
Opponent
Supervisors
Note

At the time of the doctoral defense, the following papers were unpublished and had a status as follows: Paper 4: Submitted. Paper 6: Submitted. Paper 8: Manuscript.

Available from: 2013-11-20 Created: 2013-11-12 Last updated: 2013-11-12Bibliographically approved

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Hassan, S. FawadSchmidt-May, Angnis
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