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Hauptverfasser: Sun, Hao-Ran, Bin, Jing-Kang, Zhao, Li
Format: Preprint
Veröffentlicht: 2025
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Online-Zugang:https://arxiv.org/abs/2512.07610
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author Sun, Hao-Ran
Bin, Jing-Kang
Zhao, Li
author_facet Sun, Hao-Ran
Bin, Jing-Kang
Zhao, Li
contents This paper investigates chains of rotating boson stars (BSs) within Einstein gravity coupled to a complex scalar field. The model incorporates quartic or sextic self-interactions in the scalar Lagrangian, which support the existence of stationary, solitonic, gravitationally bound solutions. We numerically construct these multi-component systems and investigate how the self-interactions alter their global properties -- specifically the Arnowitt-Deser-Misner (ADM) mass $M$, the angular momentum $J$ and the morphology of their ergospheres. A central result is the distinct dependence of the $(ω, M)$ and $(ω, J)$ relations on the parity of the chains. Specifically, systems with an even number of constituents display spiraling curves, while those with an odd number exhibit loop structures. Moreover, we observe that two initially distinct ergospheres merge into a single one as the frequency $ω$ increases. Our analysis also indicates that the quartic interaction imposes more restrictive existence bounds, particularly for odd-numbered chains, thereby restricting stable configurations to the weak-coupling regime. In contrast, the sextic interaction has a weaker effect and enables stable solutions at substantially stronger couplings.
format Preprint
id arxiv_https___arxiv_org_abs_2512_07610
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Chains of rotating boson stars with quartic or sextic self-interaction
Sun, Hao-Ran
Bin, Jing-Kang
Zhao, Li
General Relativity and Quantum Cosmology
This paper investigates chains of rotating boson stars (BSs) within Einstein gravity coupled to a complex scalar field. The model incorporates quartic or sextic self-interactions in the scalar Lagrangian, which support the existence of stationary, solitonic, gravitationally bound solutions. We numerically construct these multi-component systems and investigate how the self-interactions alter their global properties -- specifically the Arnowitt-Deser-Misner (ADM) mass $M$, the angular momentum $J$ and the morphology of their ergospheres. A central result is the distinct dependence of the $(ω, M)$ and $(ω, J)$ relations on the parity of the chains. Specifically, systems with an even number of constituents display spiraling curves, while those with an odd number exhibit loop structures. Moreover, we observe that two initially distinct ergospheres merge into a single one as the frequency $ω$ increases. Our analysis also indicates that the quartic interaction imposes more restrictive existence bounds, particularly for odd-numbered chains, thereby restricting stable configurations to the weak-coupling regime. In contrast, the sextic interaction has a weaker effect and enables stable solutions at substantially stronger couplings.
title Chains of rotating boson stars with quartic or sextic self-interaction
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2512.07610