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Quasi-normal Frequencies, Horizon Area Spectra and Multi-horizon Spacetimes

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Book cover Relativity and Gravitation

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 157))

Abstract

We analyse the behavior of the asymptotic frequencies of the spherically symmetric multi-horizon spacetimes (in particular Reissner-Nordström, Schwarzschild-deSitter, Reissner-Nordström-deSitter) and provide some suggestions for how to interpret the results following the spirit of the modified Hod’s conjecture. The interpretation suggested is in some sense analogical to the Schwarzschild case, but has some new specific features.

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Notes

  1. 1.

    This type of spectrum with \(\gamma =1\) is the one originally suggested by Bekenstein for the black hole horizon area and represents the far most popular choice in the current literature. Let us also mention that by different, but not too different lines of thinking as we present, it was already speculated that both of the horizons in the R-N spacetime have the same area spectra of the Bekenstein form.

References

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Correspondence to Jozef Skákala .

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Skákala, J. (2014). Quasi-normal Frequencies, Horizon Area Spectra and Multi-horizon Spacetimes. In: Bičák, J., Ledvinka, T. (eds) Relativity and Gravitation. Springer Proceedings in Physics, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-06761-2_44

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