Gravitational Atoms from Topological Stars

Fuente: arXiv
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Main Authors: Bah, Ibrahima, Berti, Emanuele, Ganchev, Bogdan, Pereñiguez, David, Speeney, Nicholas
Format: Preprint
Published: 2025
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author Bah, Ibrahima
Berti, Emanuele
Ganchev, Bogdan
Pereñiguez, David
Speeney, Nicholas
author_facet Bah, Ibrahima
Berti, Emanuele
Ganchev, Bogdan
Pereñiguez, David
Speeney, Nicholas
contents We study the bound states of a massive scalar field around a topological star, and show that these are strictly normal modes. This yields a genuine gravitational atom, sharply distinguishing horizonless objects from black holes. We show that the modes are controlled by the field's Compton wavelength compared to the size of the star. When the Compton wavelength is large, the field forms a cloud with a hydrogen-like spectrum, while in the opposite regime it is localized along timelike trajectories. When the two scales are comparable the spectrum becomes richer, and we characterize it in detail allowing the field to carry electric charge and Kaluza--Klein momentum.
format Preprint
id arxiv_https___arxiv_org_abs_2511_10307
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gravitational Atoms from Topological Stars
Bah, Ibrahima
Berti, Emanuele
Ganchev, Bogdan
Pereñiguez, David
Speeney, Nicholas
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We study the bound states of a massive scalar field around a topological star, and show that these are strictly normal modes. This yields a genuine gravitational atom, sharply distinguishing horizonless objects from black holes. We show that the modes are controlled by the field's Compton wavelength compared to the size of the star. When the Compton wavelength is large, the field forms a cloud with a hydrogen-like spectrum, while in the opposite regime it is localized along timelike trajectories. When the two scales are comparable the spectrum becomes richer, and we characterize it in detail allowing the field to carry electric charge and Kaluza--Klein momentum.
title Gravitational Atoms from Topological Stars
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2511.10307