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Mass eigenstates in bimetric theory with matter coupling
Stockholm University, Faculty of Science, Department of Physics. Stockholm University, Faculty of Science, The Oskar Klein Centre for Cosmo Particle Physics (OKC).
2015 (English)In: Journal of Cosmology and Astroparticle Physics, ISSN 1475-7516, E-ISSN 1475-7516, no 1, 039Article in journal (Refereed) Published
Abstract [en]

In this paper we study the ghost-free bimetric action extended by a recently proposed coupling to matter through a composite metric. The equations of motion for this theory are derived using a method which avoids varying the square-root matrix that appears in the matter coupling. We make an ansatz for which the metrics are proportional to each other and find that it can solve the equations provided that one parameter in the action is fixed. In this case, the proportional metrics as well as the effective metric that couples to matter solve Einstein's equations of general relativity including a matter source. Around these backgrounds we derive the quadratic action for perturbations and diagonalize it into generalized mass eigenstates. It turns out that matter only interacts with the massless spin-2 mode whose equation of motion has exactly the form of the linearized Einstein equations, while the field with Fierz-Pauli mass term is completely decoupled. Hence, bimetric theory, with one parameter fixed such that proportional solutions exist, is degenerate with general relativity up to linear order around these backgrounds.

Place, publisher, year, edition, pages
2015. no 1, 039
Keyword [en]
modified gravity, gravity
National Category
Astronomy, Astrophysics and Cosmology
Identifiers
URN: urn:nbn:se:su:diva-114752DOI: 10.1088/1475-7516/2015/01/039ISI: 000349283000039OAI: oai:DiVA.org:su-114752DiVA: diva2:794805
Note

AuthorCount:1;

Available from: 2015-03-12 Created: 2015-03-09 Last updated: 2017-12-04Bibliographically approved

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Schmidt-May, Angnis
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