Revisiting PBH accretion, evaporation and their cosmological consequences

Abstract

Primordial black holes (PBHs) provide a unique probe of the early Universe. Their cosmological evolution is governed by the competition between mass accretion and Hawking evaporation. In this paper we look into the details impact of accretion. Most of the earlier analysis relied on non-relativistic accretion models. In this work, we reinvestigate this in a fully relativistic framework for Kerr PBHs in the radiation-dominated era. We derive relativistic accretion rate and compute spin-dependent efficiency ${\lambda }_{\text{Kerr}}(a_{\ast })$. Using this result, we construct coupled evolution equations for the PBH mass and spin that include both relativistic accretion and spin-dependent evaporation. Our analysis shows that relativistic accretion significantly increases PBH masses and consequently suppresses their spins, causing all PBHs to become effectively Schwarzschild well before evaporation. These effects strengthen the Big Bang Nucleosynthesis (BBN) bound on the initial PBH mass by a factor of $\sim 4$--$5$, reduce the mass required for survival to the present epoch to $\sim 2.7\times 10^{14}\mathrm{g}$, and shift the viable particle like DM parameter space. Notably the early accretion induced spin-down effect further washes out the well known high-frequency, spin-induced feature in the high frequency stochastic gravitational-wave background, modifying predictions for future detectors.

38 pages, 14 figures, published in JCAP

References in corpus (35)

• Primordial Black Holes as Dark Matter
• Primordial Black Holes as Dark Matter: Recent Developments
• Constraints on Earth-mass primordial black holes from OGLE 5-year microlensing events
• On Effective Degrees of Freedom in the Early Universe
• Microlensing and dynamical constraints on primordial black hole dark matter with an extended mass function
• Primordial Black Hole Evaporation and Dark Matter Production: I. Solely Hawking radiation
• GUT-Scale Primordial Black Holes: Consequences and Constraints
• New Constraints on Warm Dark Matter from the Lyman-$\alpha$ Forest Power Spectrum
• PBH formation from spherically symmetric hydrodynamical perturbations: a review
• Primordial Black Hole Evaporation and Dark Matter Production: II. Interplay with the Freeze-In/Out Mechanism
• Breakdown of Hawking Evaporation opens new Mass Window for Primordial Black Holes as Dark Matter Candidate
• Formation of intermediate-mass black holes as primordial black holes in the inflationary cosmology with running spectral index
• Primordial black hole constraints with Hawking radiation -- a review
• Correspondence between grey-body factors and quasinormal frequencies for rotating black holes
• Search for gravitational waves from the coalescence of sub-solar mass binaries in the first half of Advanced LIGO and Virgo's third observing run
• Evaporation of Primordial Black Holes in the Early Universe: Mass and Spin Distributions
• Primordial black hole formation during the QCD phase transition: threshold, mass distribution and abundance
• Primordial Gravitational Waves From Black Hole Evaporation in Standard and Non-Standard Cosmologies
• Greybody factors for rotating black holes in higher dimensions
• Redshift Effects in Particle Production from Kerr Primordial Black Holes
• Constraints on primordial black holes from LIGO-Virgo-KAGRA O3 events
• Primordial black hole formation with full numerical relativity
• Quantum effects on the evaporation of PBHs: contributions to dark matter
• Updated Constraints on Primordial Black Hole Evaporation
• Formation of hot spots around small primordial black holes
• Primordial black hole versus inflaton
• Constraining the primordial black hole abundance through Big-Bang nucleosynthesis
• Spectroscopy of Kerr-AdS${}_5$ spacetime with the Heun function: Quasinormal modes, greybody factor, and evaporation
• Primordial Black Holes Are True Vacuum Nurseries
• Primordial black holes: constraints, potential evidence and prospects
• Searching for small primordial black holes in planets, asteroids and here on Earth
• Stronger Constraints on Primordial Black Holes as Dark Matter Derived from the Thermal Evolution of the Intergalactic Medium over the Last Twelve Billion Years
• Hunting Primordial Black Hole Dark Matter in Lyman-$\alpha$ Forest
• Evaporating black holes: constraints on anomalous emission mechanisms
• Primordial Black Holes Evaporating before Big Bang Nucleosynthesis

Cited by in corpus (1)

• Microscopic primordial black holes as macroscopic dark matter from large extra dimensions