Spectroscopy of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>Kerr</mml:mi><mml:mtext>−</mml:mtext><mml:mrow><mml:msub><mml:mrow><mml:mi>AdS</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math> spacetime with the Heun function: Quasinormal modes, greybody factor, and evaporation

We investigate quasinormal modes, greybody factor, and Hawking evaporation of a five-dimensional Kerr-anti--de Sitter (${\mathrm{AdS}}_{5}$) black hole by solving wave equation for test massive scalar field in terms the local Heun function. clarify distribution modes satisfying ingoing decaying boundary conditions at event horizon conformal infinity, respectively, their splitting behaviors complex frequency plane with respect to variation spin parameters. also point out existence purely imaginary modes. Further, we develop method extract in/outgoing waves near AdS boundary, which enables us define factor wide range parameter space complementary previous works. Using compute rates mass spins Kerr-${\mathrm{AdS}}_{5}$ via radiation field.