The Gravitational Bending of Acoustic Schwarzschild Black Hole
Abstract
Acoustic black hole is becoming an attractive topic in recent years, for it openup new direction for experimental explorations of black holes. In this work, the gravitational bending of acoustic Schwarzschild black hole is investigated. We resort to the approach developed by Gibbons and Werner, in which the gravitational deflection angle is calculated using the GaussBonnet theorem in geometrical topology. In this approach, the gravitational bending is directly connected with the topological properties of curved spacetime. In this work, the gravitational deflection angle of light, weak gravitational lensing and Einstein ring for acoustic Schwarzschild black hole are carefully studied and analyzed. The results show that the gravitational bending effects in acoustic Schwarzschild black hole are enhanced, compared with those in conventional Schwarzschild black hole. This observation indicates that the acoustic black holes may be more easily detectable in gravitational bending and weak gravitational lensing observations. Keywords: Gravitational Bending; GaussBonnet Theorem; Acoustic Schwarzschild Black Hole
 Publication:

arXiv eprints
 Pub Date:
 September 2021
 arXiv:
 arXiv:2109.05828
 Bibcode:
 2021arXiv210905828Q
 Keywords:

 General Relativity and Quantum Cosmology;
 Condensed Matter  Other Condensed Matter
 EPrint:
 14 pages, 4 figures, 1 appendix, 1 table