Tails from the bulk: gravitational decay in AdS5
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We study gravitational perturbations of Schwarzschild-AdS black holes in d = 5 and identify a regime of late-time power-law decay for smooth initial data. Based on an analysis of the quasinormal mode spectrum, we predict and characterise this decay behaviour. We perform fully nonlinear numerical evolutions with long integration times that support the prediction and exhibit no signs of instability. Remarkably, the decay is modulated by a universal oscillatory pattern, consistent with subleading corrections from a large-angular-momentum (eikonal) analysis of the quasinormal mode spectrum.
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Acknowledgements: We are grateful to Christoph Kehle for his comments on an earlier draft and for helpful discussions regarding his upcoming work with Georgios Moschidis on the nonlinear stability of four-dimensional Schwarzschild-AdS under rough initial data [111]. JRVC was supported by a Science and Technology Facilities Council (STFC) studentship ST/W507350/1 and the Cambridge Trust. The work of JES was partially supported by STFC consolidated grant ST/X000664/1 and by Hughes Hall College. Data Availability Statement. This article has no associated data or the data will not be deposited. Code Availability Statement. This article has no associated code or the code will not be deposited.
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1029-8479
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Science and Technology Facilities Council (ST/X000664/1)