Early growth of massive black holes in dynamical dark energy models with negative cosmological constant

TL;DR

This paper investigates how dynamical dark energy models with negative cosmological constant can explain the early formation of massive black holes and the abundance of bright galaxies observed at high redshifts, proposing a simple analytic growth framework.

Contribution

It introduces a simple analytic model linking dark matter halo growth to black hole evolution in negative cosmological constant scenarios, explaining early massive black holes and galaxy abundance.

Findings

Models with negative mbda can account for early massive black holes.

Negative mbda models boost galaxy and AGN counts without extra physics.

The framework aligns with current high-redshift observations.

Abstract

Recent results from combined cosmological probes indicate that the Dark Energy component of the Universe could be dynamical. The simplest explanation envisages the presence of a quintessence field rolling into a potential, where the Dark Energy energy density parameter $\Omega_{DE}=\Omega_{\Lambda}+\Omega_{x}$ results from the contribution of the ground state energy $\Omega_{\Lambda}$ and the scalar field energy $\Omega_{x}$. Provided that $\Omega_{DE}\approx 0.7$, negative values of $\Omega_{\Lambda}$ can be consistent with current measurements from cosmological probes, and could help in explaining the large abundance of bright galaxies observed by JWST at $z> 10$, largely exceeding the pre-JWST expectations in a $\Lambda CDM$ Universe. Here we explore to what extent such a scenario can account also for the early presence of massive Black Holes (BHs) with masses $M_{BH}\gtrsim 10^7\,M_{\odot}$ observed at $z\gtrsim 8$, and for the large over-abundance of AGN with respect to pre-JWST expectations. Our aim is not to provide a detailed description of BH growth, but rather to compute the maximal BH growth that can occur in cosmological models with negative $\Omega_{\Lambda}$ under the simple assumption of Eddington-limited accretion onto initial light Black Hole seeds with mass $M_{seed}\sim 10^2\,M_{\odot}$ originated from PopIII stars. To this aim we develop a simple analytic framework to connect the growth of dark matter halos to the maximal growth of BHs within the above assumptions. We show such models can account for present observations assuming values of $\Omega_{\Lambda}\approx -1$, simultaneously boosting both galaxy and AGN number counts without invoking any additional physics. This would allow us to trace the observed excess of bright and massive galaxies and the early formation of massive Black Holes and the abundance of AGN to the same cosmological origin.