Algebraic Properties of Einstein Solutions in Ghost-Free Bimetric Theory

Fuente: arXiv
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Autores principales: Kocic, Mikica, Högås, Marcus, Torsello, Francesco, Mortsell, Edvard
Formato: Preprint
Publicado: 2017
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author Kocic, Mikica
Högås, Marcus
Torsello, Francesco
Mortsell, Edvard
author_facet Kocic, Mikica
Högås, Marcus
Torsello, Francesco
Mortsell, Edvard
contents A known 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.
format Preprint
id arxiv_https___arxiv_org_abs_1706_00787
institution arXiv
publishDate 2017
record_format arxiv
spellingShingle Algebraic Properties of Einstein Solutions in Ghost-Free Bimetric Theory
Kocic, Mikica
Högås, Marcus
Torsello, Francesco
Mortsell, Edvard
High Energy Physics - Theory
General Relativity and Quantum Cosmology
A known 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.
title Algebraic Properties of Einstein Solutions in Ghost-Free Bimetric Theory
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/1706.00787