Construction and Evolution of Equilibrium Configurations of the Schrödinger–Poisson System in the Madelung Frame

Alvarez-Ríos, Iván; Guzmán, F. S.

doi:10.3390/universe8080432

Cited by 4 publications

(1 citation statement)

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“…Accordingly, solutions with nodes are called the excited NBSs. The soliton solution is the most widely studied in the literature [see, for example, (Ruffini and Bonazzola, 1969;Seidel and Suen, 1991;Seidel and Suen, 1994a;Alcubierre et al, 2002;Siddhartha Guzmán and Arturo Ureña López, 2004;Siddhartha Guzmán and Arturo Ureña-López, 2006;Chavanis, 2011;Alvarez-Ríos and Francisco, 2022)]. This is because the soliton is the attractor solution of the SP system: scalar field configurations with arbitrary initial conditions tend to migrate through a "gravitational cooling" mechanism to the ground state solution of the SP system [see (Seidel and Suen, 1994b)].…”

Section: Soliton Solutionsmentioning

confidence: 99%

Primordial black hole formation during slow-reheating: a review

Padilla,

Hidalgo,

Gomez-Aguilar

et al. 2024

Front. Astron. Space Sci.

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In this paper we review the possible mechanisms for the production of primordial black holes (PBHs) during a slow-reheating period in which the energy transfer of the inflaton field to standard model particles becomes effective at slow temperatures, offering a comprehensive examination of the theoretical foundations and conditions required for each of formation channel. In particular, we focus on post-inflationary scenarios where there are no self-resonances and the reheating epoch can be described by the inflaton evolving in a quadratic-like potential. In the hydrodynamical interpretation of this field during the slow-reheating epoch, the gravitational collapse of primordial fluctuations is subject to conditions on their sphericity, limits on their spin, as well as a maximum velocity dispersion. We show how to account for all conditions and show that PBHs form with different masses depending on the collapse mechanism. Finally we show, through an example, how PBH production serves to probe both the physics after primordial inflation, as well as the primordial powerspectrum at the smallest scales.

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