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Algebraic properties of Einstein solutions in ghost-free bimetric theory
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).ORCID iD: 0000-0003-0243-1229
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).ORCID iD: 0000-0002-8380-6143
Number of Authors: 42019 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 60, no 10, article id 102501Article in journal (Refereed) Published
Abstract [en]

A fact is that an Einstein solution in one sector in ghost-free bimetric theory implies an Einstein solution in the other sector. Earlier studies have also shown that some classes of bimetric models necessitate proportional solutions between the sectors. Here, we consider a general setup of the parameters in the theory as well as the general algebraic form of the potential. We show that, if one sector has an Einstein solution, the solutions are either proportional or block proportional with at most two different eigenvalues in the square root governing metric interactions.

Place, publisher, year, edition, pages
2019. Vol. 60, no 10, article id 102501
National Category
Mathematics Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-178583DOI: 10.1063/1.5100027ISI: 000506019500022OAI: oai:DiVA.org:su-178583DiVA, id: diva2:1391793
Available from: 2020-02-05 Created: 2020-02-05 Last updated: 2020-02-05Bibliographically approved

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Kocic, MikicaHögås, MarcusTorsello, FrancescoMörtsell, Edvard
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