Covariantizing the interaction between dark energy and dark matter

Abstract

Coupling dark energy and dark matter through an effective fluid description is a very common procedure in cosmology, however it always remains in comoving coordinates in the special FLRW space. We construct a consistent, general, and covariant formulation, where the interaction is a natural implication of the imperfectness of the fluids. This imperfectness makes difficult the final step towards a robust formulation of interacting fluids, namely the construction of a Lagrangian whose variation would give rise to the interacting equations. Nevertheless, we present a formal solution to this problem for a single fluid, through the introduction of an effective metric.

Typographical errors corrected, bibliography expanded and updated, matches version to appear in Phys. Rev. D

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• Interacting quintessence from a variational approach Part I: algebraic couplings
• Constraining a dark matter and dark energy interaction scenario with a dynamical equation of state
• In search of the dark matter dark energy interaction: a kinematic approach
• CMB and matter power spectra with non-linear dark-sector interactions
• Lagrangian description of cosmic fluids: mapping dark energy into unified dark energy
• Is it possible to obtain cosmic accelerated expansion through energy transfer between different energy densities?
• Interacting dark energy: the role of microscopic feedback in the dark sector