Relativistic Corrections and Structure Formation in Dark Matter Superfluidity

Seturumane Tema

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arXiv · 2409.02953

Relativistic Corrections and Structure Formation in Dark Matter Superfluidity

Seturumane Tema

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Abstract

The theory of dark matter superfluidity has emerged as a compelling framework, in which the dynamics are governed by a non-relativistic $P(X)$ superfluid Lagrangian that naturally leads to Modified Newtonian Dynamics (MOND)-like behavior when coupled to baryons at galactic scales. Notably, at cosmological scales, this effective description reproduces the standard $\Lambda$ Cold Dark Matter ($\Lambda$CDM) model at the background level, suggesting that cold dark matter may undergo Bose--Einstein condensation at galactic scales. In this work, we extend the non-relativistic formulation by systematically incorporating relativistic corrections within the Friedmann--Lema\^itre--Robertson--Walker (FLRW) spacetime. We further perform a linear perturbation analysis in this relativistic setting to investigate the evolution of matter density fluctuations. Our results clarify the viability of the superfluid dark matter scenario in explaining large-scale structure formation and identify the parameter regimes in which it remains consistent with current cosmological observations.

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Seturumane Tema. 2024-09-02. Relativistic Corrections and Structure Formation in Dark Matter Superfluidity. https://arxiv.org/abs/2409.02953

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