Quasinormal modes and Hawking radiation sparsity of GUP corrected black holes in bumblebee gravity with topological defects

Abstract

We have obtained the Generalized Uncertainty Principle (GUP) corrected deSitter and anti-de Sitter black hole solutions in bumblebee gravity with atopological defect. We have calculated the scalar, electromagnetic andgravitational quasinormal modes for the both vanishing and non-vanishingeffective cosmological constant using Padé averaged sixth order WKBapproximation method. Apart from this, the time evolutions for all threeperturbations are studied, and quasinormal modes are calculated using the timedomain profile. We found that the first order and second order GUP parametersα and β, respectively have opposite impacts on the quasinormalmodes. The study also finds that thepresence of a global monopole can decrease the quasinormal frequencies and thedecay rate significantly. On the other hand, Lorentz symmetry violation hasnoticeable impacts on the quasinormal frequencies and the decay rate. Wehave studied the greybody factors, power spectrum and sparsity of the blackhole with the vanishing effective cosmological constant for all the threeperturbations. The presence of Lorentz symmetry breaking and the GUPparameter α decrease, while other GUP parameter β and the presenceof global monopole increase the probability of Hawking radiation to reach thespatial infinity. The presence of Lorentz violation can make the black holesless sparse, while the presence of a global monopole can increase the sparsityof the black holes. Moreover, we have seen that the black hole areaquantization rule is modified by the presence of Lorentz symmetry breaking.