https://doi.org/10.1140/epjc/s10052-023-12181-8
Regular Article - Theoretical Physics
Phonon motion around (2+1)-dimensional acoustic black hole
1
New Uzbekistan University, Mustaqillik ave. 54, 100007, Tashkent, Uzbekistan
2
Research Centre of Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava, Bezručovo nám. 13, 74601, Opava, Czech Republic
3
Ulugh Beg Astronomical Institute, Astronomy str. 33, 100052, Tashkent, Uzbekistan
4
Institute of Fundamental and Applied Research, “TIIAME” NRU, Kori Niyoziy 39, 100000, Tashkent, Uzbekistan
5
National University of Uzbekistan, 100174, Tashkent, Uzbekistan
Received:
20
September
2023
Accepted:
22
October
2023
Published online:
31
October
2023
We study motion of a phonon, a particle representing the quanta of the sound wave in the (2+1) spacetime of the acoustic analogous axially symmetric black hole, so-called acoustic (sonic) black hole. Similar to the real objects known as black holes in relativity theories, the phenomenon called acoustic black hole possesses the ergoregion whose area is increasing with increasing rotation of the black hole, leading to more phonons being affected by the supersonic flow. It is found that phonons in the ergoregion of an acoustic black hole behave differently than those outside of it. Specifically, we found that the phonons in the ergoregion are affected by the supersonic flow of the fluid, causing them to move in different directions than those outside the ergoregion. Moreover, we presented calculations of the deflection angle and time delay of the phonon in the field of the acoustic black hole in the weak field regime that can be useful to test the geometry of the acoustic black hole in the laboratory.
© The Author(s) 2023
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.