Quasinormal modes and greybody bounds of black holes endowed with modified Chaplygin gas

Abstract

This paper investigates the quasinormal modes and greybody factors of black holes with modified Chaplygin gas. Applying the WKB approximation method, we analyze the impact of model parameters A, β, B, and γ on the oscillation frequency and damping rate of gravitational waves. Parameters A and β initially decrease these measures before a gradual increase, while B significantly influences them with a distinct critical point behaviour, and γ causes a gradual increase. Additionally, we explore greybody factor bounds analytically, revealing that smaller multipole moments l yield higher bounds, increasing A decreases bounds slowly, B significantly increases them, β decreases them, and γ has a minimal impact. These findings enhance our insight of the dynamics of black holes with modified Chaplygin gas, particularly their quasinormal modes and greybody factors.