The Role of Topological Photon Spheres in Constraining the Parameters of Black Holes

Abstract

In this paper, we investigate the topological photon sphere from two distinct perspectives. In the first view, we examine the existence and characteristics of topological photon(anti-photon)spheres for black holes with different structures, such as Einstein-Young-Mills non-minimal, AdS black holes surrounded by Chaplygin-like dark fluid, and Bardeen-like black holes in Einstein-Gauss-Bonnet gravity. Furthermore, we delve into the deeper perspective of the necessity of photon spheres for super-compact gravitational structures such as black holes. By leveraging this necessity, we propose a classification of the parameter space of black hole models based on the existence and positioning of photon spheres. This approach enables the determination of parameter ranges that delineate whether a solution represents a black hole or a naked singularity. In essence, the paper illustrates the utility of the photon sphere as a notable test for establishing the permissible and non-permissible parameter ranges within specific theories of black hole solutions.

26 pages, 7 figures

References in corpus (39)

• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• Light ring stability in ultra-compact objects
• Light rings as observational evidence for event horizons: long-lived modes, ergoregions and nonlinear instabilities of ultracompact objects
• Stationary black holes and light rings
• Fundamental photon orbits: black hole shadows and spacetime instabilities
• Thermodynamics and P-v criticality of Bardeen-AdS Black Hole in 4-D Einstein-Gauss-Bonnet Gravity
• Topological Charge and Black Hole Photon Spheres
• Spherical gravitational collapse in N-dimensions
• Thermodynamic Topology and Photon Spheres in the Hyperscaling violating black holes
• Non-minimal Wu-Yang monopole
• Light rings of stationary spacetimes
• Shadow and weak gravitational lensing of a rotating regular black hole in a non-minimally coupled Einstein-Yang-Mills theory in the presence of plasma
• The shadow and photon sphere of the charged black hole in Rastall gravity
• Non-minimal Einstein-Yang-Mills-Higgs theory: Associated, color and color-acoustic metrics for the Wu-Yang monopole model
• Bardeen Black Holes in the Regularized $4D$ Einstein--Gauss--Bonnet Gravity
• Photon rings as tests for alternative spherically symmetric geometries with thin accretion disks
• Black Holes with Multiple Photon Spheres
• Strong curvature naked singularities in spherically symmetric perfect fluid collapse
• Bardeen-like regular black holes in $5D$ Einstein-Gauss-Bonnet gravity
• Holographic Einstein Ring of a Charged AdS Black Hole
• Photon sphere and shadow of a time-dependent black hole described by a Vaidya metric
• Phase structure of charged AdS black holes surrounded by exotic fluid with modified Chaplygin equation of state
• From regular black holes to horizonless objects: quasi-normal modes, instabilities and spectroscopy
• Static spheres around spherically symmetric black hole spacetime
• Dynamical photon sphere and time evolving shadow around black holes with temporal accretion
• Critical behavior of AdS black holes surrounded by dark fluid with Chaplygin-like equation of state
• Globally visible singularity in an astrophysical setup
• Causal Structure of Singularity in non-spherical Gravitational Collapse
• Light rings of five-dimensional geometries
• Dynamical Photon Spheres in Charged Black Holes and Naked Singularities
• Exact Solution of Bardeen Black Hole in Einstein-Gauss-Bonnet gravity
• Optical Features of Rotating Black Hole with Nonlinear Electrodynamics
• Primordial naked singularities
• The Photon Sphere and the AdS/CFT Correspondence
• Observing naked singularities by the present and next-generation Event Horizon Telescope
• Study of Orbital Dynamics in Singular and Regular Naked Singularity Space-times
• High Energy Particle Collisions in the vicinity of Naked Singularity
• Strong gravitational lensing by Bardeen black holes in 4D EGB gravity: constraints from supermassive black holes

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• Mutual Influence of Photon Sphere and Non-Commutative Parameter in Various Non-Commutative Black Holes: Part I- Towards evidence for WGC
• Topological Insights into Black Hole Thermodynamics: Non-Extensive Entropy in CFT framework
• Weak Gravity Conjecture Validation with Photon Spheres of Quantum Corrected AdS-Reissner-Nordstrom Black Holes in Kiselev Spacetime
• Non-extensive Entropy and Holographic Thermodynamics: Topological Insights
• Light rings and shadows of static black holes in effective quantum gravity II: A new solution without Cauchy horizons
• WGC as WCCC protector: The Synergistic Effects of various Parameters in Identifying WGC candidate Models
• Mechanisms Behind the Aschenbach Effect in Non-Rotating Black Hole Spacetime
• Thermodynamic Topology of Kiselev-AdS Black Holes within f (R, T) gravity
• Quasinormal Modes and Topological Characteristics of a Schwarzschild Black Hole Surrounded by the Dehnen Type Dark Matter Halo
• Nonlinear Einstein-Power-Yang-Mills AdS Black Holes: From Quantum Tunneling to Aschenbach Effect
• Thermodynamic Curvature and Topological Insights of Hayward Black Holes with String Fluids
• Gravitational signatures of a nonlinear electrodynamics in $f(R,T)$ gravity
• The Existence and Distribution of Photon Spheres Near Spherically Symmetric Black Holes -- A Geometric Analysis
• Van der Waals Black Holes: Universality, Quantum Corrections, and Topological Classifications
• Multimodal signatures of asymptotic (A)dS Kalb-Ramond black holes: Constraints through the shadow, weak deflection angle, and topological photon spheres
• Kramer's Escape Rate and Phase Transition Dynamics in AdS Black Holes
• Assessing WGC Compatibility in ModMax Black Holes via Photon Spheres Analysis and WCCC Validation
• Infrared Extended Uncertainty Principle Corrections and Quintessence-Induced Topology of Reissner-Nordström AdS Black Holes
• Thermodynamic Topology and Photon Spheres Analysis of Black Holes in Brane-World: Insights from Barrow Entropy
• A General Discussion on Photon Spheres in Different Categories of Spacetimes
• A Deep Dive into classical and Topological CFT Thermodynamics in Lifshitz and Hyperscaling Violating Black Holes
• Optical, Dynamic and Topological Characteristics of Deformed Schwarzschild Black Holes
• Overcoming Barriers: Kramers' Escape Rate Analysis of Metastable Dynamics in First-Order Multi-Phase Transitions
• Schwarzschild-AdS Black Holes with Cloud of Strings and Quintessence: Geodesics, Thermodynamic Topology, and Quasinormal Modes
• Imprints of non-commutativity on charged black holes
• Gravitational aspects of a new bumblebee black hole
• Topological charge and black hole photon spheres in massive gravity