Static spheres around spherically symmetric black hole spacetime

Abstract

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.

arXiv comment7 pages, 4 figures. Published version

References in corpus (27)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Light ring stability in ultra-compact objects
• Stationary black holes and light rings
• Black Hole Solutions as Topological Thermodynamic Defects
• Topological Charge and Black Hole Photon Spheres
• Supersymmetric Rotating Black Holes and Causality Violation
• Special Properties of Five Dimensional BPS Rotating Black Holes
• Models of rotating boson stars and geodesics around them: new type of orbits
• Exotic Compact Objects and the Fate of the Light-Ring Instability
• Universal Properties of Light Rings for Stationary Axisymmetric Spacetimes
• Light rings of stationary spacetimes
• Topology of equatorial timelike circular orbits around stationary black holes
• Chaos of Particle Motion near the Black Hole with Quasi-topological Electromagnetism
• Dyson Spheres
• Comparing timelike geodesics around a Kerr black hole and a boson star
• Equatorial timelike circular orbits around generic ultracompact objects
• Static Orbits in Rotating Spacetimes
• Echoes from Classical Black Holes
• Retrograde Polish Doughnuts around Boson Stars
• Analytic study of self-gravitating polytropic spheres with light rings
• Supersymmetric rotating black hole spacetime tested by geodesics
• Triple points and novel phase transitions of dyonic AdS black holes with quasitopological electromagnetism
• Two Schwarzschild-like black holes balanced by their scalar hair
• Extremal black holes have external light rings
• The fate of observers in circular motion

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• Universal thermodynamic topological classes of rotating black holes
• Topological classes of thermodynamics of the rotating charged AdS black holes in gauged supergravities
• Thermodynamic Topology of $D=4,5$ Horava Lifshitz Black Hole in Two Ensembles
• Topological interpretation of extremal and Davies-type phase transitions of black holes
• Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow
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• Weak Gravity Conjecture Validation with Photon Spheres of Quantum Corrected AdS-Reissner-Nordstrom Black Holes in Kiselev Spacetime
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• Aschenbach effect and circular orbits in static and spherically symmetric black hole backgrounds
• The Existence and Distribution of Photon Spheres Near Spherically Symmetric Black Holes -- A Geometric Analysis
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• Topology of black hole thermodynamics: A brief review
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• The $D$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy
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