Are stealth scalar fields stable?

Andres F. Zambrano Moreno (Bishop's University); Valerio Faraoni

arxiv: 1006.1936 · v1 · pith:D7E4DZY7new · submitted 2010-06-10 · 🌀 gr-qc · hep-th

Are stealth scalar fields stable?

Valerio Faraoni , Andres F. Zambrano Moreno (Bishop's University) This is my paper

classification 🌀 gr-qc hep-th

keywords gravityscalarstabilitybrans-dickecorrespondingfieldsperturbationsregions

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Non-gravitating (stealth) scalar fields associated with Minkowski space in scalar-tensor gravity are examined. Analytical solutions for both non-minimally coupled scalar field theory and for Brans-Dicke gravity are studied and their stability with respect to tensor perturbations is assessed using a covariant and gauge-invariant formalism developed for alternative gravity. For Brans-Dicke solutions, the stability with respect to homogeneous perturbations is also studied. There are regions of parameter space corresponding to stability and other regions corresponding to instability.

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