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Exact non-linear equations for cosmological perturbations

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arxiv 1706.07753 v3 pith:ZTFTYNRK submitted 2017-06-23 gr-qc astro-ph.CO

classification gr-qcastro-ph.CO
keywords equationsperturbationsbackgroundcosmologicalexactnon-linearapplicationassume
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We present a complete set of exact and fully non-linear equations describing all three types of cosmological perturbations -- scalar, vector and tensor perturbations. We derive the equations in a thoroughly gauge-ready manner, so that any spatial and temporal gauge conditions can be employed. The equations are completely general without any physical restriction except that we assume a flat homogeneous and isotropic universe as a background. We also comment briefly on the application of our formulation to the non-expanding Minkowski background.

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