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 de Sitter and anti-de Sitter black hole solutions in bumblebee gravity with a topological defect. We have calculated the scalar, electromagnetic and gravitational quasinormal modes for the both vanishing and non-vanishing effective cosmological constant using Padé averaged sixth order WKB approximation method. Apart from this, the time evolutions for all three perturbations are studied, and quasinormal modes are calculated using the time domain profile. We found that the first order and second order GUP parameters $\alpha$ and $\beta$, respectively have opposite impacts on the quasinormal modes. The study also finds that the presence of a global monopole can decrease the quasinormal frequencies and the decay rate significantly. On the other hand, Lorentz symmetry violation has noticeable impacts on the quasinormal frequencies and the decay rate. We have studied the greybody factors, power spectrum and sparsity of the black hole with the vanishing effective cosmological constant for all the three perturbations. The presence of Lorentz symmetry breaking and the GUP parameter $\alpha$ decrease, while other GUP parameter $\beta$ and the presence of global monopole increase the probability of Hawking radiation to reach the spatial infinity. The presence of Lorentz violation can make the black holes less sparse, while the presence of a global monopole can increase the sparsity of the black holes. Moreover, we have seen that the black hole area quantization rule is modified by the presence of Lorentz symmetry breaking.

40 pages, 23 figures

References in corpus (33)

• Discreteness of Space from the Generalized Uncertainty Principle
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors
• Prospects for Large Relativity Violations in Matter-Gravity Couplings
• Black holes with a cosmological constant in bumblebee gravity
• Quasi-Normal Modes and Gravitational Wave Astronomy
• Mining information from binary black hole mergers: a comparison of estimation methods for complex exponentials in noise
• Bounding the greybody factors for Schwarzschild black holes
• Schwarzschild-like black hole with a topological defect in bumblebee gravity
• A consistent model of non-singular Schwarzschild black hole in loop quantum gravity and its quasinormal modes
• Greybody factor for black string in dRGT massive gravity
• Black hole spectroscopy via adiabatic invariance
• Quasinormal modes of a Schwarzschild black hole surrounded by free static spherically symmetric quintessence: Electromagnetic perturbations
• Weak deflection angle of Kazakov-Solodukhin black hole in plasma medium using Gauss-Bonnet theorem and its greybody bonding
• Quasinormal frequencies for a black hole in a bumblebee gravity
• Quasinormal modes and shadow of a Schwarzschild black hole with GUP
• A new f(R) Gravity Model and properties of Gravitational Waves in it
• Time-delay and Doppler tests of the Lorentz symmetry of gravity
• Searching for photon-sector Lorentz violation using gravitational-wave detectors
• Bounding the Bogoliubov coefficients
• Corrections to entropy and thermodynamics of charged black hole using generalized uncertainty principle
• Quasinormal Modes of Black Holes with Non-Linear-Electrodynamic sources in Rastall Gravity
• Derivations of group rings
• Gravitational perturbations of non-singular black holes in conformal gravity
• Quantum-corrected scattering and absorption of a Schwarzschild black hole with GUP
• A monopole solution in a Lorentz-violating field theory
• Experimental verification of intersatellite clock synchronization at LISA performance levels
• Scalar Perturbations of a Single-Horizon Regular Black Hole
• Geodesic stability and quasinormal modes of non-commutative Schwarzschild black hole employing Lyapunov exponent
• Study of Einstein-bumblebee gravity with Kerr-Sen-like solution in the presence of a dispersive medium
• Bumblebee gravity and particle motion in Snyder noncommutative spacetime structures
• Imprint of black hole area quantization and Hawking radiation on inspiraling binary
• On Black Hole Area Quantization and Echoes