The Gravitational Bending of Acoustic Schwarzschild Black Hole

Abstract

Acoustic black hole is becoming an attractive topic in recent years, for it open-up new direction for experimental / observational explorations of black holes. In this work, the gravitational bending of acoustic Schwarzschild black hole is investigated. The gravitational deflection angle of particles traveling along null geodesics, weak gravitational lensing and Einstein ring for acoustic Schwarzschild black hole are carefully studied and analyzed. Particularly, in the calculation of gravitational deflection angle, we resort to two approaches -- the Gauss-Bonnet theorem and the geodesic method. The results show that the gravitational bending effect in acoustic Schwarzschild black hole is enhanced, compared with conventional Schwarzschild black hole. This result indicates that the acoustic black holes may be more easily detectable in gravitational bending effects and weak gravitational lensing observations.

21 pages, 5 figures, 2 appendices, 2 tables; V2 is minor revision; V3 is major revision; V4: minor revision (astrophysical motivation is included and small errors are corrected) V5: accepted version

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Cited by in corpus (12)

• Gravitational Lensing of Schwarzschild and Charged Black Holes Immersed in Perfect Fluid Dark Matter Halo
• Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem
• Quantum-corrected Schwarzschild AdS black hole surrounded by quintessence: Thermodynamics and Shadows
• Gravitational Lensing of Spherically Symmetric Black Holes in Dark Matter Halos
• Imprints of a gravitational wave through the weak field deflection of photons
• Modified metrics of acoustic black holes: A review
• On the global Gaussian bending measure and its applications in stationary spacetimes
• Island of acoustic black hole in Schwarzschild spacetime
• Galactic microlensing by acoustic Schwarzschild black holes
• Investigating Graviton Mass Effects on Black Hole Lensing in dRGT Massive Gravity
• Investigating the effects of gravitational lensing by Hu-Sawicki $\mathbf{f}(\mathbf{R})$ gravity black holes
• Thin accretion disks around a Schwarzschild acoustic black hole