Quasinormal modes of a black hole with a cloud of strings in Einstein–Gauss–Bonnet gravity

Abstract

The quasinormal modes for a scalar field in the background spacetime corresponding to a black hole, with a cloud of strings, in Einstein–Gauss–Bonnet gravity, and the tensor quasinormal modes corresponding to perturbations in such spacetime, were both calculated using the WKB approximation. In the obtained results, we emphasize the role played by the parameter associated with the string cloud, comparing them with the results already obtained for the Boulware–Deser metric. We also study how the Gauss–Bonnet correction to general relativity affects the results for the quasinormal modes, comparing them with the same background in general relativity.