Cauchy-horizon singularity inside perturbed Kerr black holes

The Cauchy horizon inside a perturbed Kerr black hole develops an instability that transforms it into a curvature singularity. We solve for the linearized Weyl scalars [psi] sub(0) and [psi] sub(4) and for the curvature scalar R sub( alpha beta gamma delta )R super( alpha beta gamma [de lta]) along...

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Bibliographic Details
Published in:Physical review. D 2016-02, Vol.93 (4), Article 041501
Main Authors: Burko, Lior M., Khanna, Gaurav, Zenginoǧlu, Anıl
Format: Article
Language:English
Subjects:
Black holes (astronomy)
Cosmology
Curvature
Horizon
Mathematical analysis
Perturbation methods
Scalars
Singularities
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Summary:The Cauchy horizon inside a perturbed Kerr black hole develops an instability that transforms it into a curvature singularity. We solve for the linearized Weyl scalars [psi] sub(0) and [psi] sub(4) and for the curvature scalar R sub( alpha beta gamma delta )R super( alpha beta gamma [de lta]) along outgoing null rays approaching the Cauchy horizon in the interior of perturbed Kerr black holes using the Teukolsky equation, and compare our results with those found in perturbation analysis. Our results corroborate the previous perturbation analysis result that at its early parts the Cauchy horizon evolves into a deformationally weak, null, scalar-curvature singularity. We find excellent agreement for [psi] sub(0)(u=const,v), where u, v are advanced and retarded times, respectively. We do find, however, that the exponential growth rate of R sub( alpha beta gamma delta )R super( alpha beta gamma [de lta])(u=const,v) approaching the singularity is dramatically slower than that found in perturbation analysis, and that the angular frequency is in excellent agreement.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.93.041501