We study gravitational perturbations of Schwarzschild-AdS black holes in $\textit{d}$ = 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.

United Kingdom

John Crump

Jorge Santos

Tails from the bulk: gravitational decay in AdS 5

We study the John term of Fab Four cosmology in the presence of a scalar potential. We show here how this theory can describe a wide range of cosmological solutions. This theory has two general functions of the scalar field: the potential <math><mi>V</mi><mo>(</mo><mi>ϕ</mi><mo>)</mo></math> and the John coefficient function <math><msub><mrow><mi>V</mi></mrow><mrow><mi>j</mi></mrow></msub><mo>(</mo><mi>ϕ</mi><mo>)</mo></math>. We show that for very simple choices of those functions, we can describe an accelerated expansion, a radiation-dominated era, and a matter-dominated era. By means of simple modifications, it is also possible to describe nonsingular bouncing versions of those solutions and cyclic universes. We also address some quantum issues of that theory, showing that, for the most significant singular cases, the theory admits a classically well behaved quantization, even though the Hamiltonian has fractional powers in the momenta.