No scalar hair theorem for neutral Neumann stars: Static massive scalar fields nonminimally coupled to gravity

In a recent paper, Hod proved that spherically symmetric Dirichlet reflecting compact stars cannot support static nonminimally coupled scalar fields. In the present paper, we study the validity of no hair theorems for compact stars with Neumann surface boundary conditions. We find that Neumann compa...

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Main Author: Yan Peng
Format: Article
Language:English
Published: Elsevier 2019-10-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321319302160
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author Yan Peng
author_facet Yan Peng
author_sort Yan Peng
collection DOAJ
description In a recent paper, Hod proved that spherically symmetric Dirichlet reflecting compact stars cannot support static nonminimally coupled scalar fields. In the present paper, we study the validity of no hair theorems for compact stars with Neumann surface boundary conditions. We find that Neumann compact stars cannot support static massive scalar field hairs with a generic dimensionless nonminimal coupling parameter.
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spelling doaj.art-8018b6ba59b143538b84b28d005a9f932022-12-21T22:04:59ZengElsevierNuclear Physics B0550-32132019-10-01947No scalar hair theorem for neutral Neumann stars: Static massive scalar fields nonminimally coupled to gravityYan Peng0School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaIn a recent paper, Hod proved that spherically symmetric Dirichlet reflecting compact stars cannot support static nonminimally coupled scalar fields. In the present paper, we study the validity of no hair theorems for compact stars with Neumann surface boundary conditions. We find that Neumann compact stars cannot support static massive scalar field hairs with a generic dimensionless nonminimal coupling parameter.http://www.sciencedirect.com/science/article/pii/S0550321319302160
spellingShingle Yan Peng
No scalar hair theorem for neutral Neumann stars: Static massive scalar fields nonminimally coupled to gravity
Nuclear Physics B
title No scalar hair theorem for neutral Neumann stars: Static massive scalar fields nonminimally coupled to gravity
title_full No scalar hair theorem for neutral Neumann stars: Static massive scalar fields nonminimally coupled to gravity
title_fullStr No scalar hair theorem for neutral Neumann stars: Static massive scalar fields nonminimally coupled to gravity
title_full_unstemmed No scalar hair theorem for neutral Neumann stars: Static massive scalar fields nonminimally coupled to gravity
title_short No scalar hair theorem for neutral Neumann stars: Static massive scalar fields nonminimally coupled to gravity
title_sort no scalar hair theorem for neutral neumann stars static massive scalar fields nonminimally coupled to gravity
url http://www.sciencedirect.com/science/article/pii/S0550321319302160
work_keys_str_mv AT yanpeng noscalarhairtheoremforneutralneumannstarsstaticmassivescalarfieldsnonminimallycoupledtogravity