Light rings and shadows of static black holes in effective quantum gravity II: A new solution without Cauchy horizons

Abstract

Among the three known types of static solutions proposed within the Hamiltonian constraint approach to effective quantum gravity (EQG), the first two have been extensively investigated, whereas the third type-which preserves general covariance, is free of Cauchy horizons, and was only recently obtained-remains relatively unexplored. This solution can describe a black hole with an event horizon for certain parameter ranges, or a horizonless compact object beyond those ranges. In this paper, we focus on the third type and show that its light rings feature both stable and unstable branches, and that the black hole shadow size grows with the quantum parameter-unlike in the first two types. However, when we account for both the shadow and the lensing ring, the overall behavior closely resembles that of the second type, in which an increasing quantum parameter leads to a larger portion of the lensing ring being occupied by the shadow. This feature can serve as a hallmark of black holes in EQG, offering a potential way to distinguish them from their GR counterparts. Remarkably, the parameter ranges under which the solution remains a black hole are highly consistent with the current observational constraints on black hole shadows, lending strong support to the classification of the third type of compact object in EQG as a black hole endowed with an event horizon.

12 pages, 7 figures

References in corpus (67)

• 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
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Black Hole Shadows, Photon Rings, and Lensing Rings
• First Sagittarius A* Event Horizon Telescope Results. III: Imaging of the Galactic Center Supermassive Black Hole
• Relativistic images of Schwarzschild black hole lensing
• Generating rotating regular black hole solutions without complexification
• Light ring stability in ultra-compact objects
• Black Hole Solutions as Topological Thermodynamic Defects
• Topology of black hole thermodynamics
• Quantum Oppenheimer-Snyder and Swiss Cheese models
• Topological classes of thermodynamics of rotating AdS black holes
• Image of Kerr-Melvin black hole with thin accretion disk
• QED Effect on Black Hole Shadow
• Topological Charge and Black Hole Photon Spheres
• Topological classes of rotating black holes
• No-Hair Theorem in the Wake of Event Horizon Telescope
• Consistent thermodynamics and topological classes for the four-dimensional Lorentzian charged Taub-NUT spacetimes
• Revisiting thermodynamic topologies of black holes
• Classifying topology of consistent thermodynamics of the four-dimensional neutral Lorentzian NUT-charged spacetimes
• Shadow and stability of quantum-corrected black holes
• Light rings and shadows of static black holes in effective quantum gravity
• Shadows and photon rings of regular black holes and geonic horizonless compact objects
• Topological interpretation for phase transitions of black holes
• QNMs of slowly rotating Einstein-Bumblebee Black Hole
• Topological classes of thermodynamics of the four-dimensional static accelerating black holes
• Thermodynamic Topology and Photon Spheres in the Hyperscaling violating black holes
• The topological natures of the Gauss-Bonnet black hole in AdS space
• Light rings of stationary spacetimes
• Analytical study of gravitational lensing in Kerr-Newman black-bounce spacetime
• Probing the Lorentz Symmetry Violation Using the First Image of Sagittarius A*: Constraints on Standard-Model Extension Coefficients
• Topology of equatorial timelike circular orbits around stationary black holes
• Universal topological classifications of black hole thermodynamics
• Static neutral black holes in Kalb-Ramond gravity
• Bulk-boundary thermodynamic equivalence: a topology viewpoint
• Are ultra-spinning Kerr-Sen-AdS${}_4$ black holes always super-entropic ?
• The Role of Topological Photon Spheres in Constraining the Parameters of Black Holes
• Distinct topological configurations of equatorial timelike circular orbit for spherically symmetric (hairy) black holes
• Universal thermodynamic topological classes of rotating black holes
• Topological classes of thermodynamics of the rotating charged AdS black holes in gauged supergravities
• Light rings and long-lived modes in quasi-black hole spacetimes
• Polarized image of a rotating black hole in Scalar-Tensor-Vector-Gravity theory
• Chaotic Shadows of Black Holes: A Short Review
• Shadow revisiting and weak gravitational lensing with Chern-Simons modification
• Kerr-MOG-(A)dS black hole and its shadow in scalar-tensor-vector gravity theory
• Notes on thermodynamics of super-entropic AdS black holes
• Estimating the cosmological constant from shadows of Kerr--de Sitter black holes
• Topological interpretation of extremal and Davies-type phase transitions of black holes
• Gravitational lensing effect of black holes in effective quantum gravity
• Spherically symmetric vacuum solutions in 1-Parameter New General Relativity and their phenomenology
• Consistent mass formulas for the four-dimensional dyonic NUT-charged spacetimes
• Image of Bonnor black dihole with a thin accretion disk and its polarization information
• Lorentz violation induces isospectrality breaking in Einstein-Bumblebee gravity theory
• Generalized free energy and dynamical state transition of the dyonic AdS black hole in the grand canonical ensemble
• Quasi-Normal Modes of Loop Quantum Black Holes Formed from Gravitational Collapse
• Shadow Geometry of Kerr Naked Singularities
• Consistent mass formulas for higher even-dimensional Taub-NUT spacetimes and their AdS counterparts
• Gravito-electromagnetic perturbations of MOG black holes with a cosmological constant: Quasinormal modes and Ringdown waveforms
• Null hypersurface caustics for high dimensional superentropic black holes
• Determination of the spin parameter and the inclination angle by the relativistic images in black hole image
• Consistent mass formulas for higher even-dimensional Reissner-Nordström-NUT-AdS spacetimes
• Revisiting mass formulas of the four-dimensional Reissner-Nordström-NUT-AdS solutions in a different metric form
• Hunting for extra dimensions in black hole shadows
• The ring-shaped shadow of rotating naked singularity with a complete photon sphere
• Probing the signature of axions through the quasinormal modes of black holes
• Is the type-D NUT C-metric really "missing" from the most general Plebański-Demiański solution?

Cited by in corpus (11)

• Long-lived Quasinormal modes around regular black holes and wormholes in Covariant Effective Quantum Gravity
• Observational signature of Lorentz violation in acceleration radiation
• ${\tilde{W}}^{1+}$ subclass: Extending the topological classification of black hole thermodynamics
• Primordial regular black holes as all the dark matter. III. Covariant canonical quantum gravity models
• Can the latent signatures of quantum superposition be detected through correlation harvesting?
• Novel topological subclass in Hourava-Lifshitz black holes
• Strong Gravitational Lensing by Compact Object without Cauchy Horizons in Effective Quantum Gravity
• Entropic uncertainty and coherence in Einstein-Gauss-Bonnet gravity
• Dimensional structure of thermodynamic topology in ultraspinning Kerr-AdS black holes
• Bosonic and fermionic mutual information of N-partite systems in dilaton black hole background
• Non-monotonic evolution of multipartite entanglement under the Unruh effect