2014/06/30 by H. S. Vieira, V. B. Bezerra
Physics and Astronomy · #gr-qc #cond-mat.other
paper · pdf · doi:10.1007/s10714-016-2082-x,
published as Gen Relativ Gravit (2016) 48:88, Gen Relativ Gravit (2019) 51:51 · 26 pages, with erratum. arXiv admin note: text overlap with arXiv:1405.7846
arxiv created 2019/04/06 · arxiv updated 2019/04/10
We obtain the analytic solutions of the radial part of the massless Klein-Gordon equation in the spacetime of both three dimensional rotating and four dimensional canonical acoustic black holes, which are given in terms of the confluent Heun functions. From these solutions, we obtain the scalar waves near the acoustic horizon. We discuss the analogue Hawking radiation of massless scalar particles and the features of the spectrum associated with the radiation emitted by these acoustic black holes.