Quasinormal modes of a massive scalar field nonminimally coupled to gravity in the spacetime of self-dual black hole

In this work, we investigate the quasinormal modes for a massive scalar field with a nonminimal coupling with gravity in the spacetime of a loop quantum black hole, known as the self-dual black hole. In thisway, we have calculated the characteristic frequencies using the 3rd order WKB approach, where we can verify a strong dependence with the mass of scalar field, the parameter of nonminimal coupling with gravity, and parameters of the loop quantum gravity. From our results, we can check that the self-dual black hole is stable under the scalar perturbations when assuming small values for the parameters. Also, such results tell us that the quasinormal modes assume different values for the cases where the mass of field is null and the nonminimal coupling assumes xi = 0 and xi = 1/6, i.e., a possible breaking of the conformal invariance can be seen in the context of loop quantum black holes.

Automated summary

In this study, the characteristic frequencies of quasinormal modes for a massive scalar field with a nonminimal coupling with gravity in the spacetime of a loop quantum black hole are calculated. The results show a strong dependence on the mass of scalar field, the parameter of nonminimal coupling with gravity, and parameters of loop quantum gravity. Additionally, the study reveals potential breaking of conformal invariance in the context of loop quantum black holes for certain parameter values.