Static spheres around spherically symmetric black hole spacetime

Unique features of particle orbits produce novel signatures of gravitational observable phenomena and are quite useful in testing compact astrophysical objects in general relativity or modified theories of gravity. Here we observe a representative example that a static, spherically symmetric black h...

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Main Authors: Shao-Wen Wei, Yu-Peng Zhang, Yu-Xiao Liu, Robert B. Mann
Format: Article
Language:English
Published: American Physical Society 2023-10-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.043050
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author Shao-Wen Wei
Yu-Peng Zhang
Yu-Xiao Liu
Robert B. Mann
author_facet Shao-Wen Wei
Yu-Peng Zhang
Yu-Xiao Liu
Robert B. Mann
author_sort Shao-Wen Wei
collection DOAJ
description Unique features of particle orbits produce novel signatures of gravitational observable phenomena and are quite useful in testing compact astrophysical objects in general relativity or modified theories of gravity. Here we observe a representative example that a static, spherically symmetric black hole solution with nonlinear electrodynamics admits static points at finite radial distance. Each static point thus produces a static sphere, on which a massive test particle can remain at rest at arbitrary latitudes with respect to an asymptotic static observer. As a result, the well-known static Dyson spheres can be implemented by such orbits. More interestingly, employing a topological argument, we disclose that stable and unstable static spheres (if they exist) always come in pairs in an asymptotically flat spacetime. In contrast to this, the counterpart naked singularity has one more stable static sphere than the unstable one. Our results have potential applications in testing black holes in standard Maxwell and nonlinear electrodynamics, as well as in uncovering the underlying astronomical observation effects in other gravitational theories beyond general relativity.
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spelling doaj.art-69dba0fe96704113bd08bd6e5f6d10e82024-04-12T17:35:04ZengAmerican Physical SocietyPhysical Review Research2643-15642023-10-015404305010.1103/PhysRevResearch.5.043050Static spheres around spherically symmetric black hole spacetimeShao-Wen WeiYu-Peng ZhangYu-Xiao LiuRobert B. MannUnique features of particle orbits produce novel signatures of gravitational observable phenomena and are quite useful in testing compact astrophysical objects in general relativity or modified theories of gravity. Here we observe a representative example that a static, spherically symmetric black hole solution with nonlinear electrodynamics admits static points at finite radial distance. Each static point thus produces a static sphere, on which a massive test particle can remain at rest at arbitrary latitudes with respect to an asymptotic static observer. As a result, the well-known static Dyson spheres can be implemented by such orbits. More interestingly, employing a topological argument, we disclose that stable and unstable static spheres (if they exist) always come in pairs in an asymptotically flat spacetime. In contrast to this, the counterpart naked singularity has one more stable static sphere than the unstable one. Our results have potential applications in testing black holes in standard Maxwell and nonlinear electrodynamics, as well as in uncovering the underlying astronomical observation effects in other gravitational theories beyond general relativity.http://doi.org/10.1103/PhysRevResearch.5.043050
spellingShingle Shao-Wen Wei
Yu-Peng Zhang
Yu-Xiao Liu
Robert B. Mann
Static spheres around spherically symmetric black hole spacetime
Physical Review Research
title Static spheres around spherically symmetric black hole spacetime
title_full Static spheres around spherically symmetric black hole spacetime
title_fullStr Static spheres around spherically symmetric black hole spacetime
title_full_unstemmed Static spheres around spherically symmetric black hole spacetime
title_short Static spheres around spherically symmetric black hole spacetime
title_sort static spheres around spherically symmetric black hole spacetime
url http://doi.org/10.1103/PhysRevResearch.5.043050
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AT robertbmann staticspheresaroundsphericallysymmetricblackholespacetime