Noncommutative scalar field in the non-extremal Reissner-Nordstr\"om background: QNM spectrum

Understand

In our previous work [18] we constructed a model of a noncommutative, charged and massive scalar field based on the angular twist.

• Then we used this model to analyze the motion of the scalar field in the Reissner-Nordstr\"om black hole background.
• In particular, we determined the QNM spectrum analytically in the near-extremal limit.
• To broaden our analysis, in this paper we apply a well defined numerical method, the continued fraction method and calculate the QNM spectrum for a non-extremal Reissner-Nordstr\"om black hole.