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arxiv 2403.11147 v2 pith:CKHPBOG2 submitted 2024-03-17 gr-qc astro-ph.COhep-th

Primordial black hole formation from a nonspherical density profile with a misaligned deformation tensor

classification gr-qc astro-ph.COhep-th
keywords zetablackholespindensitymisalignedprimordialsmall
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We perform the numerical simulation of primordial black hole formation from a nonspherical profile of the initial curvature perturbation $\zeta$. We consider the background expanding universe filled with the perfect fluid with the linear equation of state $p=w\rho$ ($w=1/3$ or $1/5$), where $p$ and $\rho$ are the pressure and the energy density, respectively. The initial condition is set in a way such that the principal directions of the second derivatives of $\zeta$ and $\triangle \zeta$ at the central peak are misaligned, where $\triangle$ is the Laplacian. In this setting, since the linearized density is proportional to $\triangle \zeta$, the inertia tensor and deformation tensor $\partial_i\partial_j \zeta$ are misaligned. Thus tidal torque may act and the spin of a resultant primordial black hole would be non-zero in general, although it is estimated to be very small from previous perturbative analyses. As a result, we do not find a finite value of the spin within our numerical precision, giving support for the negligibly small value of the black hole spin for $1/5\lesssim w \lesssim 1/3$. More specifically, our results suggest that the dimensionless PBH spin $s$ is typically so small that $s\ll0.1$ for $w\gtrsim0.2$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The statistics of curvature-profile dispersion in primordial black hole formation

    astro-ph.CO 2026-07 conditional novelty 7.0

    Rare coherent shape deformations of primordial curvature profiles can dominate primordial black hole abundance by lowering the collapse threshold enough to overcome their Gaussian statistical cost.

  2. Evaporation of Primordial Black Holes in a Thermal Universe: A Thermofield Dynamics Approach

    hep-th 2025-12 unverdicted novelty 5.0

    Thermal bath corrections derived via thermofield dynamics enhance the evaporation rate of primordial black holes, shortening their lifetimes relative to zero-temperature calculations.