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Boundary conditions for metric fluctuations in Lifshitz

Andrade, T; Ross, Simon F.

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T Andrade


We consider the quantization of linearized fluctuations of the metric and matter fields about a Lifshitz background, exploring the possibility of alternative boundary conditions, allowing the slow fall-off modes to fluctuate. We find that for z > 2, slow fall-off modes for some of the linearized fluctuations are normalizable, which opens up the possibility of considering alternative boundary conditions. Analysing stability, we find that alternative boundary conditions for the momentum density are allowed, but alternative boundary conditions for the energy density lead to an instability of the type we recently discovered in a similar analysis for scalar fields on a fixed Lifshitz background. Our investigation is in the context of the simple massive vector model, but we would expect the conclusions to be more general.


Andrade, T., & Ross, S. F. (2013). Boundary conditions for metric fluctuations in Lifshitz. Classical and Quantum Gravity, 30(19), Article 195017.

Journal Article Type Article
Publication Date Oct 7, 2013
Deposit Date Sep 13, 2013
Publicly Available Date Dec 21, 2013
Journal Classical and Quantum Gravity
Print ISSN 0264-9381
Electronic ISSN 1361-6382
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 30
Issue 19
Article Number 195017


Accepted Journal Article (560 Kb)

Copyright Statement
© 2013 IOP Publishing. This is an author-created, un-copyedited version of an article accepted for publication in Classical and quantum gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at

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