Noble gravitational atoms: Self-gravitating black hole scalar wigs with angular momentum number

Fuente: arXiv
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Auteurs principaux: Alcubierre, Miguel, Barranco, Juan, Bernal, Argelia, Degollado, Juan Carlos, Diez-Tejedor, Alberto, Megevand, Miguel, Nunez, Dario, Sarbach, Olivier
Format: Preprint
Publié: 2025
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author Alcubierre, Miguel
Barranco, Juan
Bernal, Argelia
Degollado, Juan Carlos
Diez-Tejedor, Alberto
Megevand, Miguel
Nunez, Dario
Sarbach, Olivier
author_facet Alcubierre, Miguel
Barranco, Juan
Bernal, Argelia
Degollado, Juan Carlos
Diez-Tejedor, Alberto
Megevand, Miguel
Nunez, Dario
Sarbach, Olivier
contents We present new spherically symmetric solutions of the Einstein-Klein-Gordon equations in a quasi-stationary approximation that describe self-gravitating scalar field configurations around a black hole, including angular momentum number $\ell$. An approach analogous to the one which gives rise to $\ell$-boson stars is used here to construct self-gravitating ``gravitational atoms" with $\ell\ge0$. We refer to these new solutions as {\it noble gravitational atoms}, by analogy with noble atoms, which are characterized by closed electron shells. We show that, in the proper limit, noble gravitational atoms approach $\ell$-boson stars globally, displaying noticeable differences only in a region very close to the event horizon. Noble gravitational atoms with $\ell>0$ sometimes present density maxima located at relatively large radii, with small density close to the horizon for $\ell>1$. Furthermore, they do not always present the typical density spike at the event horizon if $\ell > 0$; on the contrary, they sometimes exhibit a small dip there. When $\ell=0$, a spike can appear, but its contribution to the total mass density is always negligible. The size, density, and lifetime of these objects vary significantly depending on the parameters, being in some cases as large as galaxies, as dilute as dark matter, and as long-lived as the Universe itself.
format Preprint
id arxiv_https___arxiv_org_abs_2512_08095
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Noble gravitational atoms: Self-gravitating black hole scalar wigs with angular momentum number
Alcubierre, Miguel
Barranco, Juan
Bernal, Argelia
Degollado, Juan Carlos
Diez-Tejedor, Alberto
Megevand, Miguel
Nunez, Dario
Sarbach, Olivier
General Relativity and Quantum Cosmology
Astrophysics of Galaxies
We present new spherically symmetric solutions of the Einstein-Klein-Gordon equations in a quasi-stationary approximation that describe self-gravitating scalar field configurations around a black hole, including angular momentum number $\ell$. An approach analogous to the one which gives rise to $\ell$-boson stars is used here to construct self-gravitating ``gravitational atoms" with $\ell\ge0$. We refer to these new solutions as {\it noble gravitational atoms}, by analogy with noble atoms, which are characterized by closed electron shells. We show that, in the proper limit, noble gravitational atoms approach $\ell$-boson stars globally, displaying noticeable differences only in a region very close to the event horizon. Noble gravitational atoms with $\ell>0$ sometimes present density maxima located at relatively large radii, with small density close to the horizon for $\ell>1$. Furthermore, they do not always present the typical density spike at the event horizon if $\ell > 0$; on the contrary, they sometimes exhibit a small dip there. When $\ell=0$, a spike can appear, but its contribution to the total mass density is always negligible. The size, density, and lifetime of these objects vary significantly depending on the parameters, being in some cases as large as galaxies, as dilute as dark matter, and as long-lived as the Universe itself.
title Noble gravitational atoms: Self-gravitating black hole scalar wigs with angular momentum number
topic General Relativity and Quantum Cosmology
Astrophysics of Galaxies
url https://arxiv.org/abs/2512.08095