Quasinormal modes as a distinguisher between general relativity and f(R) gravity: charged black-holes

@article{Bhattacharyya2017QuasinormalMA,
  title={Quasinormal modes as a distinguisher between general relativity and f(R) gravity: charged black-holes},
  author={Soham Bhattacharyya and S. Shankaranarayanan},
  journal={The European Physical Journal C},
  year={2017},
  volume={78}
}
The ring-down phase of black-hole perturbations is governed by the quasi-normal modes (QNM) and offer valuable insight into the nature of the objects emitting them, raising an interesting question: whether QNMs can be used to distinguish between theories of gravity? We construct a consistency test of general relativity (GR) which enables one to distinguish between general relativity and a specific class of modified theories of gravity: f(R). We show that an energetic inequality between scalar… 

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