The first search for scalar-induced gravitational waves via pulsar parameter drifts yields f_PBH < 10^{-10} (95% CL) for PBH masses 0.3 to 4e4 solar masses, strongly disfavoring a primordial black hole origin for LVK binary black holes.
Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) analysis ---
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abstract
A scenario is presented, based on renormalization group (linear perturbation) ideas, which can explain the self-similarity and scaling observed in a numerical study of gravitational collapse of radiation fluid. In particular, it is shown that the critical exponent $\beta$ and the largest Lyapunov exponent ${\rm Re\, } \kappa$ of the perturbation is related by $\beta= ({\rm Re\, } \kappa) ^{-1}$. We find the relevant perturbation mode numerically, and obtain a fairly accurate value of the critical exponent $\beta \simeq 0.3558019$, also in agreement with that obtained in numerical simulation.
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Numerical construction of a one-parameter family of discretely self-similar critical spacetimes for massless scalar collapse in continuous D>3, giving echoing period Delta(D) and Choptuik exponent gamma(D) with a maximum in Delta near D=3.76.
Simulations with a saturating lattice-gas equation of state show the primordial black hole formation threshold increases by 0.50 percent while the critical exponent remains 0.357.
Simulations with Nakamura wave initial data confirm approximately discretely self-similar threshold solutions in vacuum gravitational wave collapse, but without exact self-similarity or a unique critical solution, consistent with prior studies.
Primordial black holes in specific mass ranges could account for some or all dark matter while resolving structure-formation and seed problems in standard cosmology.
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Primordial Black Holes as Dark Matter: Recent Developments
Primordial black holes in specific mass ranges could account for some or all dark matter while resolving structure-formation and seed problems in standard cosmology.