No-go theorem for static boson stars with negative cosmological constants

In a recent paper, Hod has proven no-go theorem for asymptotically flat static regular boson stars. In the present work, we extend discussions to the gravity with a negative cosmological constant. We consider a scalar field vanishing at infinity. In the asymptotically AdS background, we show that sp...

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Main Author: Yan Peng
Format: Article
Language:English
Published: Elsevier 2020-04-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321320300419
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spelling doaj-ceb7d79c24e0424683d0303a0ee54d9c2020-11-25T01:30:03ZengElsevierNuclear Physics B0550-32132020-04-01953No-go theorem for static boson stars with negative cosmological constantsYan Peng0School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaIn a recent paper, Hod has proven no-go theorem for asymptotically flat static regular boson stars. In the present work, we extend discussions to the gravity with a negative cosmological constant. We consider a scalar field vanishing at infinity. In the asymptotically AdS background, we show that spherically symmetric regular boson stars cannot be constructed with self-gravitating static scalar fields, whose potential is positive semidefinite and increases with respect to its argument.http://www.sciencedirect.com/science/article/pii/S0550321320300419
collection DOAJ
language English
format Article
sources DOAJ
author Yan Peng
spellingShingle Yan Peng
No-go theorem for static boson stars with negative cosmological constants
Nuclear Physics B
author_facet Yan Peng
author_sort Yan Peng
title No-go theorem for static boson stars with negative cosmological constants
title_short No-go theorem for static boson stars with negative cosmological constants
title_full No-go theorem for static boson stars with negative cosmological constants
title_fullStr No-go theorem for static boson stars with negative cosmological constants
title_full_unstemmed No-go theorem for static boson stars with negative cosmological constants
title_sort no-go theorem for static boson stars with negative cosmological constants
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2020-04-01
description In a recent paper, Hod has proven no-go theorem for asymptotically flat static regular boson stars. In the present work, we extend discussions to the gravity with a negative cosmological constant. We consider a scalar field vanishing at infinity. In the asymptotically AdS background, we show that spherically symmetric regular boson stars cannot be constructed with self-gravitating static scalar fields, whose potential is positive semidefinite and increases with respect to its argument.
url http://www.sciencedirect.com/science/article/pii/S0550321320300419
work_keys_str_mv AT yanpeng nogotheoremforstaticbosonstarswithnegativecosmologicalconstants
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