Abstract
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 discuss the necessary conditions for the well-posedness of the problem, and give some numerical results for low l. The talk “Quasinormal modes from a naked singularity” was presented at the Spanish Relativity Meeting 2012 and was based on the results presented in Chirenti et al. (Phys. Rev. D 86:124008, 2012).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Chirenti, C., Saa, A., Skakala, J.: Quasinormal modes for the scattering on a naked Reissner-Nordstrom singularity. Phys. Rev. D 86, 124008 (2012)
Gibbons, G.: Quantized fields propagating in plane wave spacetimes. Comm. Math. Phys 45, 191–202 (1975)
Horowitz, G. T., Marolf, D: Quantum Probes of Spacetime Singularities. Phys. Rev. D 52, 5670–5675 (1995)
Ishibashi, A., Hosoya, A.: Who’s afraid of naked singularities? Phys. Rev. D. 60, 104028 (1999)
Ishibashi, A., Wald, R.M.: Dynamics in Non-Globally-Hyperbolic Static Spacetimes II: General Analysis of Prescriptions for Dynamics. Class. Quant. Grav. 20, 3815–3826 (2003)
Martellini, M., Reina, C., Treves, A.: Klein-Gordon field in a naked singularity background. Phys. Rev. D 17, 2573–2578 (1978)
Pitelli, J.P.M., Letelier, P.S.: Quantum Singularities in Static Spacetimes. Int. J. Mod. Phys. D 20, 729–743 (2011)
Sandberg, V.D.: Light scattering properties of naked singularities. Phys. Rev. D 12, 2226–2229 (1975)
Wald, R.M.: Dynamics in nonglobally hyperbolic, static spacetimes. J. Math. Phys 21, 2802–2805 (1980)
Acknowledgements
This work was supported by FAPESP, CNPq and the Max Planck Society.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chirenti, C., Saa, A., Skákala, J. (2014). Quasinormal Modes from a Naked Singularity. In: García-Parrado, A., Mena, F., Moura, F., Vaz, E. (eds) Progress in Mathematical Relativity, Gravitation and Cosmology. Springer Proceedings in Mathematics & Statistics, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40157-2_20
Download citation
DOI: https://doi.org/10.1007/978-3-642-40157-2_20
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-40156-5
Online ISBN: 978-3-642-40157-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)