2021/08/26 by Hovhannes Demirchian, Demirchian, Hovhannes, S. Sadeghian +2
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Numerical methods for differential equations #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.2108.11742
7 pages, references added, minor typos fixed
openalex publication_date 2021/08/26 · arxiv created 2021/09/06 · arxiv updated 2021/09/07 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
We investigate the separability of Klein-Gordon equation on near horizon of d-dimensional rotating Myers-Perry black hole in two limits : 1) generic extremal case and 2) extremal vanishing horizon case. In the first case , there is a relation between the mass and rotation parameters so that black hole temperature vanishes. In the latter case, one of the rotation parameters is restricted to zero on top of the extremality condition. We show that the Klein-Gordon equation is separable in both cases. Also, we solved the radial part of that equation and discuss its behaviour in small and large r regions.