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Villani, Mattia

Quasi-normal mode of a regular Schwarzschild black hole. (English) Zbl 1479.83173

Classical Quantum Gravity 37, No. 21, Article ID 215019, 12 p. (2020).
Summary: Some quantum gravity theories, like loop quantum gravity, predict that quantum mechanical effects will avoid the formation of a singularity inside a black hole. From the general relativity point of view, this means that the metric will differ from the ones of Schwarzschild or Kerr at least inside the event horizon. If the metric is not that of Schwarzschild or Kerr, the potential of the Regge-Wheeler equation is modified, therefore it is possible to peek inside a black hole using the quasi-normal modes to find out if there is indeed a singularity. We address this problem for a regular Schwartzchild black hole using an effective metric first introduced by Hayward.

Cited in 4 Documents

MSC:

83C57 Black holes
83C35 Gravitational waves
58K30 Global theory of singularities

Keywords:

physiscs of black holes; gravitational-wave astrophysics; quantum gravity

Software:

Invar; xPerm; Spinors; xPand; xPert; xCore; xTensor; xTras
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Full Text: DOI

References:

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