Effect of quantum deformed black hole on BH shadow in two-dimensional Dilaton gravity

Abstract

In recent years, the study of quantum effects near the event horizon of black hole (BH) has attracted extensive attention. It has become one of the important methods to explore BH quantum properties by using the related properties of the quantum deformed black hole. In this work, we study the effect of quantum deformed black hole on BH shadow in two-dimensional Dilaton gravity. In this model, quantum effects are reflected on the quantum correction parameter m. By calculation, we find that: (1) the shape of the shadow boundary of a rotating black hole is determined by the BH spin $a$, the quantum correction parameter $m$ and the BH type parameter $n$; (2) when the spin $a=0$, the shape of the BH shadow is a perfect circle; when $a\ne 0$, the shape is distorted; if the quantum correction parameter $m=0$, their shapes reduce to the cases of Schwarzschild BH and Kerr BH respectively; (3) the degree of distortion of the BH shadow is different for various quantum correction parameters $m$; with the increase of the values of $m$, the shadow will become more and more obvious; (4) the results of different BH type parameter $n$ differ greatly. Since the value of $m$ in actual physics should be very small, the current observations of EHT cannot distinguish quantum effect from BH shadow, and can only constrain the upper limit of $m$. In future BH shadow measurements, it will be possible to distinguish quantum deformed black holes, which will help to better understand the quantum effects of BHs.

18 pages, 8 figures

References in corpus (26)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
• First M87 Event Horizon Telescope Results. VIII. Magnetic Field Structure near The Event Horizon
• Black Hole Shadows, Photon Rings, and Lensing Rings
• First M87 Event Horizon Telescope Results. VII. Polarization of the Ring
• Measurement of the Kerr Spin Parameter by Observation of a Compact Object's Shadow
• Constraints on black-hole charges with the 2017 EHT observations of M87*
• Gravitational Test Beyond the First Post-Newtonian Order with the Shadow of the M87 Black Hole
• A new method for shadow calculations: application to parameterised axisymmetric black holes
• Black holes with scalar hair in light of the Event Horizon Telescope
• Shadow of five-dimensional rotating Myers-Perry black hole
• Shadow of a Kaluza-Klein rotating dilaton black hole
• Shadows of Einstein-dilaton-Gauss-Bonnet black holes
• The Submillimeter Bump in Sgr A* from Relativistic MHD Simulations
• Simulating the Emission and Outflows from Accretion Disks
• Observational appearance of inefficient accretion flows and jets in 3D GRMHD simulations: Application to Sgr~A*
• The Power of Imaging: Constraining the Plasma Properties of GRMHD Simulations using EHT Observations of Sgr A*
• Plasma diagnostic potential of 2p4f in N${}^{+}$ -- accurate wavelengths and oscillator strengths
• Photon rings of spherically symmetric black holes and robust tests of non-Kerr metrics
• Rotating spacetime: black-bounces and quantum deformed black hole
• Shadow of a Kerr-Sen dilaton-axion Black Hole
• General class of "quantum deformed" regular black holes

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• Constraints on charged Symmergent black hole from shadow and lensing
• Generalized Extended Uncertainty Principle Black Holes: Shadow and lensing in the macro- and microscopic realms
• Shadow and greybody bounding of a regular scale-dependent black hole solution
• Constraining a one-dimensional wave-type gravitational wave parameter through the shadow of M87* via Event Horizon Telescope
• Quantum-corrected Schwarzschild AdS black hole surrounded by quintessence: Thermodynamics and Shadows