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We determine the mass-radius relation of self-gravitating Bose-Einstein condensates with an attractive $-1/r$ external potential created by a central mass. Following our previous work [P.H. Chavanis, Phys. Rev. D 84, 043531 (2011)], we use…

General Relativity and Quantum Cosmology · Physics 2019-09-12 Pierre-Henri Chavanis

We study the Bose condensation of scalar dark matter in the presence of both gravitational and self-interactions. Axions and other scalar dark matter in gravitationally bound miniclusters or dark matter halos are expected to condense into…

High Energy Physics - Phenomenology · Physics 2020-11-18 Kay Kirkpatrick , Anthony E. Mirasola , Chanda Prescod-Weinstein

We derive an approximate analytical expression of the maximum mass of relativistic self-gravitating Bose-Einstein condensates with repulsive or attractive $|\varphi|^4$ self-interaction. This expression interpolates between the general…

General Relativity and Quantum Cosmology · Physics 2023-05-17 Pierre-Henri Chavanis

We study the mechanisms of the gravitational collapse of the Bose-Einstein condensate dark matter halos, described by the zero temperature time-dependent nonlinear Schr\"odinger equation (the Gross-Pitaevskii equation), with repulsive…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Tiberiu Harko

We study the collapse in a coupled Bose-Einstein condensate of two types of bosons 1 and 2 under the action of a trap using the time-dependent Gross-Pitaevskii equation. The system may undergo collapse when one, two or three of the…

Soft Condensed Matter · Physics 2009-10-31 Sadhan K. Adhikari

We assume dark matter to be a cosmological self-gravitating Bose-Einstein condensate of non-relativistic ultralight scalar particles with competing gravitational and repulsive contact interactions and investigate the observational…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-19 V. Delgado , A. Muñoz Mateo

We provide an approximate analytical expression of the mass-radius relation of a Newtonian self-gravitating Bose-Einstein condensate (BEC) with short-range interactions described by the Gross-Pitaevskii-Poisson system. These equations model…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 Pierre-Henri Chavanis

We explored the dynamics of how a Bose-Einstein condensate collapses and subsequently explodes when the balance of forces governing the size and shape of the condensate is suddenly altered. A condensate's equilibrium size and shape is…

Observed active galactic nuclei at redshifts $\gtrsim 6$ suggest that supermassive black holes (SMBHs) had formed early on. Accretion of matter onto remnants of Population III stars leading to SMBHs is a very slow process, and therefore,…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Patrick Das Gupta , Eklavya Thareja

Recently there has been significant interest in the claim that dark matter axions gravitationally thermalize and form a Bose-Einstein condensate with cosmologically long-range correlation. This has potential consequences for galactic scale…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-18 Alan H. Guth , Mark P. Hertzberg , C. Prescod-Weinstein

We consider dynamics of Bose-Einstein condensates with long-range attractive interaction proportional to $1/r^b$ and arbitrary angular dependence. It is shown exactly that collapse of Bose-Einstein condensate without contact interactions is…

Pattern Formation and Solitons · Physics 2010-10-21 Pavel M. Lushnikov

Ultralight bosons with self-interactions, such as axion-like particles, can form astrophysical Bose-Einstein condensates around stars or compact objects, often referred to as gravitational atoms. In this work, we adopt a recently proposed…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Samuel Gómez Gómez , Xisco Jimenez Forteza , Carlos Palenzuela Luque

We study the nature of phase transitions between dilute and dense axion stars interpreted as self-gravitating Bose-Einstein condensates. We develop a Newtonian model based on the Gross-Pitaevskii-Poisson equations for a complex scalar field…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Pierre-Henri Chavanis

Axion dark matter thermalizes by gravitational self-interactions and forms a Bose-Einstein condensate. We show that the rethermalization of the axion fluid during the initial collapse of large scale overdensities near cosmic dawn transports…

High Energy Physics - Phenomenology · Physics 2026-05-07 Pierre Sikivie , Yuxin Zhao

We develop the suggestion that dark matter could be a Bose-Einstein condensate. We determine the mass-radius relation of a Newtonian self-gravitating Bose-Einstein condensate with short-range interactions described by the…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-29 P. H. Chavanis , L. Delfini

This work studies the formation and growth of boson stars and their surrounding miniclusters by gravitational condensation using non-linear dynamical numerical methods. Fully dynamical attractive and repulsive self-interactions are also…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-27 Jiajun Chen , Xiaolong Du , Erik W. Lentz , David J. E. Marsh , Jens C. Niemeyer

We consider the effects of gravitons in the collapse of baryonic matter that forms a black hole. We first note that the effective number of (soft off-shell) gravitons that account for the (negative) Newtonian potential energy generated by…

High Energy Physics - Theory · Physics 2016-12-21 Roberto Casadio , Andrea Giugno , Andrea Giusti

We study the Jeans mass-radius relation of Bose-Einstein condensate dark matter in Newtonian gravity. We show at a general level that it is similar to the mass-radius relation of Bose-Einstein condensate dark matter halos [P.H. Chavanis,…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Pierre-Henri Chavanis

We study the stationary and dynamical properties of three-dimensional trapped Bose-Einstein condensates with attractive interactions subjected to a random potential. To this end, a variational method is applied to solve the underlying…

Quantum Gases · Physics 2024-11-27 Madjda Kamel , Abdelaali Boudjemaa

General types of Bose-Einstein condensates are considered. The formation of black-hole analogues is examined for both short- and long-range interactions for arbitrary spatial dimensions greater than two. The former case includes non-linear…

General Relativity and Quantum Cosmology · Physics 2014-10-22 Florian Kuhnel
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