Signatures of the accelerating black holes with a cosmological constant from the ${\text{Sgr A}}^{\star }$ and ${\text{M87}}^{\star }$ shadow prospects

Abstract

Recently, the Event Horizon Telescope (EHT) achieved the realization of an image of the supermassive black hole ${\text{Sgr A}}^{\star }$ showing an angular shadow diameter $\mathcal{D}=48.7\pm 7\mu as$ and the fractional deviation $\delta =-0.08_{-0.09}^{+0.09}\text{(VLTI)},-0.04_{-0.10}^{+0.09}\text{(Keck)}$, alongside the earlier image of ${\text{M87}}^{\star }$ with angular diameter $\mathcal{D}=42\pm 3\mu as$, deviation $\delta =-0.01_{-0.17}^{+0.17}$ and deviations from circularity estimated to be $\Delta \mathcal{C}\lesssim 10\%$. In addition, the shadow radii are assessed within the ranges $3.38\le \frac{r_{\text{s}}}{M}\le 6.91$ for ${\text{M87}}^{\star }$ and $3.85\le \frac{r_{\text{s}}}{M}\le 5.72$ as well as $3.95\le \frac{r_{\text{s}}}{M}\le 5.92$ for ${\text{Sgr A}}^{\star }$ using the Very Large Telescope Interferometer (VLTI) and Keck observatories, respectively. These values are provided with $1$-$\sigma$ and $2$-$\sigma$ measurements. Such realizations can unveil a better comprehension of gravitational physics at the horizon scale. In this paper, we use the EHT observational results for ${\text{M87}}^{\star }$ and ${\text{Sgr A}}^{\star }$ to elaborate the constraints on parameters of accelerating black holes with a cosmological constant. Concretely, we utilize the mass and distance of both black holes to derive the observables associated with the accelerating black hole shadow. First, we compare our findings with observed quantities such as angular diameter, circularity, shadow radius, and the fractional deviation from the ${\text{M87}}^{\star }$ data. This comparison reveals constraints within the acceleration parameter and the cosmological constant... Lastly, one cannot rule out the possibility of the negative values for the cosmological constant on the emergence of accelerated black hole solutions within the context of minimal gauged supergravity...

37 pages, 10 figures, references updated

References in corpus (32)

• 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
• 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
• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• Measurement of the Kerr Spin Parameter by Observation of a Compact Object's Shadow
• First Sagittarius A* Event Horizon Telescope Results. II. EHT and Multi-wavelength Observations, Data Processing, and Calibration
• Constraints on black-hole charges with the 2017 EHT observations of M87*
• The mass distribution in the Galactic Centre from interferometric astrometry of multiple stellar orbits
• Observing the Inner Shadow of a Black Hole: A Direct View of the Event Horizon
• Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit
• Black holes with a cosmological constant in bumblebee gravity
• Interpreting the C-metric
• Discovery of a Disk Gap Candidate at 20 AU in TW Hydrae
• Testing Rotating Regular Metrics as Candidates for Astrophysical Black Holes
• Testing Rotating Regular Metrics with EHT Results of Sgr A*
• Quasiperiodic Oscillations, Quasinormal Modes and Shadows of Bardeen-Kiselev Black Holes
• Thermodynamics of accelerating and supersymmetric $Ad{S}_4$ black holes
• Thermodynamics of Regular Accelerating Black Holes
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Black Hole Shadow in Symmergent Gravity
• Influence of Accretion Flow and Magnetic Charge on the Observed Shadows and Rings of the Hayward Black Hole
• Investigating shadow images and rings of the charged Horndeski black hole illuminated by various thin accretions
• Radiation from accelerated black holes in an anti-de Sitter universe
• Thermal Image and Phase Transitions of Charged AdS Black Holes using Shadow Analysis
• 4D scale-dependent Schwarzschild-AdS/dS black holes: study of shadow and weak deflection angle and greybody bounding
• Hunting extra dimensions in the shadow of Sgr A*
• Estimating the cosmological constant from shadows of Kerr--de Sitter black holes
• Beyond lensing by the cosmological constant
• Rotating Black Hole in Kalb-Ramond Gravity: Constraining Parameters by Comparison with EHT Observations of Sgr A* and M87*

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