Quantum Aspects of Ergoregion Instability

Details Quantum Aspects of Ergoregion Instability Quantum Aspects of Ergoregion Instability

1997-01-18

arxiv.org/abs/gr-qc/9701040v2

Phys.Rev. D55 (1997) 7563-7573

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, latex, 2 figures, epsfig.sty; one rather important argument corrected, but main results remained, version to appear

Scientific paper

10.1103/PhysRevD.55.7563

It has been known classically that a star with an ergoregion but no event horizon is unstable to the emission of scalar, electromagnetic and gravitational waves. This classical ergoregion instability is characterized by complex frequency modes. We show how to canonically quantize a neutral scalar field in the presence of such unstable modes by considering a simple model for a rapidly rotating star. Some of interesting results is that there exists a physically meaningful mode decomposition including unstable normal mode solutions whose representation turns out to be a non-Fock-like Hilbert space. A ``particle" detector model placed in the in-vacuum state also shows that stars with ergoregions give rise to a spontaneous energy radiation to spatial infinity until ergoregions disappear.

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