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

Amos S. Kubeka, Emile F. Doungmo Goufo and Melusi Khumalo

Chaos, Solitons & Fractals, 2018, vol. 116, issue C, 348-357

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.

Keywords: Schwarzschild white hole; Quasi-normal mode; Fractional model with non-local operator; Atangana–Baleanu fractional derivative in Caputo sense; Numerical scheme; 26A33; 35Q85; 65C20; 97M50 (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:116:y:2018:i:c:p:348-357

DOI: 10.1016/j.chaos.2018.09.047

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