Generalized Hayward spacetimes: Geometry, matter, and scalar quasinormal modes

Bardeen's 1968 idea of a regular black hole spacetime was revived by Hayward in 2006 through the construction new example such geometry. Later it realised Neves and Saa, that wider, two-parameter class exists, with Bardeen spacetimes as special cases. In this article, we revisit generalise applying Damour-Solodukhin (DS) prescription. Recalling DS suggestion deformed Schwarzschild where $g_{tt} = -\left (1-\frac{2M_1}{r}\right )$, $g_{rr} \left (1-\frac{2M_2}{r}\right )^{-1}$ $M_1\neq M_2$, propose similar deformation The $g_{tt}$ $g_{rr}$ original line element remain functionally same, {\em albeit} mutations introduced via differently valued metric parameters, following idea. This results plethora geometries, known well new, including singular holes, wormholes or holes. We first study geometric features matter content each some detail. Subsequently, find scalar quasinormal modes corresponding to wave propagation these geometries. investigate how real imaginary parts depend on values ranges parameters used classify Finally, argue our family suggest their utility mimickers.