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Conformal invariance of curvature perturbation

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arxiv 1107.1840 v1 pith:TPCP5PCG submitted 2011-07-10 gr-qc astro-ph.COhep-phhep-th

Conformal invariance of curvature perturbation

classification gr-qc astro-ph.COhep-phhep-th
keywords perturbationconformalconformallyinvarianceinvariantordersslicingapply
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that in the single component situation all perturbation variables in the comoving gauge are conformally invariant to all perturbation orders. Generally we identify a special time slicing, the uniform-conformal transformation slicing, where all perturbations are again conformally invariant to all perturbation orders. We apply this result to the delta N formalism, and show its conformal invariance.

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    Scalar-tensor gravity admits a frame-invariant perfect-fluid description with zero temperature, so that general relativity corresponds to diffusive equilibrium for both minimal and nonminimal theories.