On the E. M. F. of the “Irreversible Electrode.”

Shibata, Zen-ichi; Sasaki, Bampu

doi:10.1246/nikkashi1921.53.593

Cited by 12 publications

(28 citation statements)

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“…Niemeyer & Jedamzik [96] find that one needs δ > 0.8 rather than δ > 0.3 to ensure PBH formation and they also find that there is little accretion after PBH formation, as expected theoretically [22]. Shibata & Sasaki [108] reach similar conclusions. A particularly interesting development has been the application of "critical phenomena" to PBH formation.…”

Section: Pbhs As a Probe Of Gravitational Collapsementioning

confidence: 53%

Primordial Black Holes as a Probe of Cosmology and High Energy Physics

Carr

2003

Quantum Gravity

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Section: Pbhs As a Probe Of Gravitational Collapsementioning

confidence: 53%

Primordial Black Holes as a Probe of Cosmology and High Energy Physics

Carr

2003

Quantum Gravity

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“…Using this approach, as mentioned in the introduction, we can avoid the unphysical arbitrariness in the choice of initial conditions considered in previous works [18,22,25].…”

Section: Perturbations In the Quasi Homogeneous Solutionmentioning

confidence: 99%

Curvature profiles as initial conditions for primordial black hole formation

Polnarev¹,

Musco²

2007

Class. Quantum Grav.

133

225

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Abstract. This work is part of an ongoing research programme to study possible Primordial Black Hole (PBH) formation during the radiation dominated era of the early universe. Working within spherical symmetry, we specify an initial configuration in terms of a curvature profile, which represents initial conditions for the large amplitude metric perturbations, away from the homogeneous Friedmann Robertson Walker model, which are required for PBH formation. Using an asymptotic quasi-homogeneous solution, we relate the curvature profile with the density and velocity fields, which at an early enough time, when the length scale of the configuration is much larger than the cosmological horizon, can be treated as small perturbations of the background values. We present general analytic solutions for the density and velocity profiles. These solutions enable us to consider in a self-consistent way the formation of PBHs in a wide variety of cosmological situations with the cosmological fluid being treated as an arbitrary mixture of different components with different equations of state. We show that the analytical solutions for the density and velocity profiles as functions of the initial time are pure growing modes. We then use two different parametrisation for the curvature profile and follow numerically the evolution of a range of initial configuration.

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“…Shibata & Sasaki (1999) [37] presented an alternative formalism for studying PBH formation using constant mean curvature time slicing and focusing on metric perturbations rather than density perturbations. They emphasised the importance of using initial data which can be directly related to perturbations arising from inflation.…”

Section: Introductionmentioning

confidence: 99%

Computations of primordial black-hole formation

Musco

Miller

Rezzolla

2005

Class. Quantum Grav.

316

364

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Abstract. Results are presented from general relativistic numerical computations of primordial black-hole formation during the radiation-dominated era of the universe. Growing-mode perturbations are specified within the linear regime and their subsequent evolution is followed as they become nonlinear. We use a spherically symmetric Lagrangian code and study both super-critical perturbations, which go on to produce black holes, and sub-critical perturbations, for which the overdensity eventually disperses into the background medium. For super-critical perturbations, we confirm the results of previous work concerning scaling-laws but note that the threshold amplitude for a perturbation to lead to black-hole formation is substantially reduced when the initial conditions are taken to represent purely growing modes. For sub-critical cases, where an initial collapse is followed by a subsequent re-expansion, strong compressions and rarefactions are seen for perturbation amplitudes near to the threshold. We have also investigated the effect of including a significant component of vacuum energy and have calculated the resulting changes in the threshold and in the slope of the scaling law.

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On the E. M. F. of the “Irreversible Electrode.”

Cited by 12 publications

References 0 publications

Primordial Black Holes as a Probe of Cosmology and High Energy Physics

Primordial Black Holes as a Probe of Cosmology and High Energy Physics

Curvature profiles as initial conditions for primordial black hole formation

Computations of primordial black-hole formation

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