On the quasi-normal modes of a Schwarzschild white hole for the lower angular momentum and perturbation by non-local fractional operators.

Highlights • Conditions for quasi-normal modes of Schwarzschild white hole is provided. • The focus is on a Schwarzschild white hole for lower angular momentum. • The model is generalized thanks to Atangana–Baleanu fractional derivative. • Existence of quasi-normal modes of a Schwarzschild white hole is shown. • Atangana–Baleanu operator appears to be a perturbator factor for the dynamic. Abstract We investigate conditions for the quasi-normal modes of a Schwarzschild white hole for lower angular momentum. In determining these normal modes, we use numerical methods to solve the solution of the linearized Einstein vacuum equations in null cone coordinates. The same model is generalized to non-local fractional operator theory where the model is solved numerically thanks to a method proposed by Toufik and Atangana. In fact, approaching this kind of problem analytically seems to be an impossible task as comprehensively articulated in the literature. We show existence of quasi-normal modes of a Schwarzschild white hole for lower angular momentum l = 2. Moreover, the non-local fractional operator appears to be a perturbator factor for the system as shown by numerical simulations that compare the types of dynamics in the system. [ABSTRACT FROM AUTHOR]