Quasinormal modes from a naked singularity. (English) Zbl 1327.83195
Bičák, Jiří (ed.) et al., Relativity and gravitation. 100 years after Einstein in Prague. Proceedings of the conference, Prague, Czech Republic, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-06760-5/hbk; 978-3-319-06761-2/ebook). Springer Proceedings in Physics 157, 339-346 (2014).
Summary: What should be the quasinormal modes associated with a spacetime that contains a naked singularity instead of a black hole? In the present work we address this problem by studying the scattering of scalar fields on a curved background described by a Reissner-Nordström spacetime with \(q>m\). We show that there is a qualitative difference between cases with \(1<q^2/m^2\lesssim 9/8\) and cases with \(q^2/m^2\gtrsim 9/8\). We discuss the necessary conditions for the well-posedness of the problem, and present results for the low \(l\) and large \(l\) limit.
For the entire collection see [Zbl 1293.83004].
For the entire collection see [Zbl 1293.83004].
MSC:
| 83C75 | Space-time singularities, cosmic censorship, etc. |
| 83C25 | Approximation procedures, weak fields in general relativity and gravitational theory |
| 83C57 | Black holes |
| 83C22 | Einstein-Maxwell equations |
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