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Cosmic backreaction and Gauss's law

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arxiv 1609.03724 v2 pith:TS53RHTG submitted 2016-09-13 gr-qc astro-ph.CO

Cosmic backreaction and Gauss's law

classification gr-qc astro-ph.CO
keywords backreactioncorrectionscosmiccosmologicalgaussgravitymodeluniverse
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Cosmic backreaction refers to the general question of whether a homogeneous and isotropic cosmological model is able to predict the correct expansion dynamics of our inhomogeneous Universe. One aspect of this issue concerns the validity of the continuous approximation: does a system of point masses expand the same way as a fluid does? This article shows that it is not exactly the case in Newtonian gravity, although the associated corrections vanish in an infinite Universe. It turns out that Gauss's law is a key ingredient for such corrections to vanish. Backreaction, therefore, generically arises in alternative theories of gravitation, which threatens the trustworthiness of their cosmological tests. This phenomenon is illustrated with a toy model of massive gravity.

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Forward citations

Cited by 2 Pith papers

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    Proposes gravitational redshift measurements with atomic clocks in varying density environments to constrain the parameter space of the environment-dependent dilaton model, focusing on regions with weak couplings comp...

  2. Les Houches on Dark Universe 2025: Elements of cosmology beyond FLRW

    astro-ph.CO 2025-09 unverdicted

    A lecture-notes review arguing that inhomogeneities cause only negligible backreaction and fitting corrections, leaving FLRW-based cosmology intact under the cosmological principle.