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arXiv · 1503.03755

Scalar Resonances in Axially Symmetric Spacetimes

Ignacio F. Ranea-Sandoval·Héctor Vucetich
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Abstract

We study properties of resonant solutions to the scalar wave equation in several axially symmetric spacetimes. We prove that non-axial resonant modes do not exist neither in the Lanczos dust cylinder, the $(2+1)$ extreme BTZ spacetime nor in a class of simple rotating wormhole solutions. Moreover, we find unstable solutions to the wave equation in the Lanczos dust cylinder and in the $r^2 <0$ region of the extreme $(2+1)$ BTZ spacetime, two solutions that possess closed timelike curves. Similarities with previous results obtained for the Kerr spacetime are explored.

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Ignacio F. Ranea-Sandoval, Héctor Vucetich. 2015-03-12. Scalar Resonances in Axially Symmetric Spacetimes. https://doi.org/10.1142/s0218271815500376

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