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The fate of non-diagonalizable interactions in quasidilaton theory

High Energy Physics - Theory 2015-03-26 v1 General Relativity and Quantum Cosmology

Abstract

It has been shown that the spherically symmetric solutions in a subclass of quasidilaton theory are stable against all degrees of freedom and does not even exhibit superluminal propagation. These solutions can be found by switching off scalar-tensor interactions, which can not be removed by a local transformation. In this paper, we extend the analysis to quasidilaton theory, including non-diagonalizable scalar-tensor interactions. We show that all solutions inside the Vainshtein radius are problematic : the scalar mode in massive graviton suffers from gradient instabilities, the vector mode are infinitely strongly coupled vector perturbations, or the Vainshtein mechanism is absent.

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Cite

@article{arxiv.1503.07430,
  title  = {The fate of non-diagonalizable interactions in quasidilaton theory},
  author = {Rampei Kimura},
  journal= {arXiv preprint arXiv:1503.07430},
  year   = {2015}
}

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5 pages