Quasibound states of scalar fields in the consistent 4D Einstein–Gauss–Bonnet–(Anti-)de Sitter gravity

We examine the interaction between massless scalar fields and gravitational field generated by a black hole solution that was recently obtained in consistent well-defined 4-dimensional Einstein-Gauss-Bonnet gravity with cosmological constant. In order to do this, we calculate quasibound state frequencies of for spherically symmetric Einstein-Gauss-Bonnet-de Sitter Anti-de theories. The expression states is using polynomial condition associated Heun functions, their values are overdamped. also demonstrate stability systems.