Quantum corrections to the quasinormal modes of the Schwarzschild black hole

Abstract

Based on the minimum measurable momentum concepts associated with the quantum gravity effects acting on the large-scale dynamics of the universe, we study the quantum effect of the EUP on the Hawking evaporation of the black hole. The results show the quantum corrections may shorten the lifetime of the massive black hole. To verify the new EUP on the black hole stability, the scalar field and electromagnetic field are derived and the time evolution of the black hole is analyzed in terms of the time domain integration method, the quantum effect alters the oscillation and decay time of black hole. Furthermore, we use the WKB numerical approximation method to calculate the quasinormal mode frequencies and analyze the influence of the EUP parameter $\alpha$ on the scattering problem. This shows that the EUP significantly increases the area of the total absorption cross-section of the black hole.

10 pages, 9 figures

References in corpus (21)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
• Shadow of a black hole surrounded by dark matter
• Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors
• Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
• Parikh-Wilczek Tunneling from Noncommutative Higher Dimensional Black Holes
• Quasinormal modes and shadow of a Schwarzschild black hole with GUP
• Greybody factor and quasinormal modes of Regular Black Holes
• Echoes of novel black-bounce spacetimes
• Gravitational perturbations of non-singular black holes in conformal gravity
• Thermodynamics of the Reissner-Nordström black hole with quintessence matter on the EGUP framework
• Black holes in massive gravity: Quasi-normal modes of scalar perturbations
• Gravitational Aharonov-Bohm effect due to noncommutative BTZ black hole
• Ringing of a black hole in a dark matter halo
• Effect of the modified Heisenberg algebra on the Black hole thermodynamics
• Investigation of Unruh temperature of Black holes by using of EGUP formalism
• The quasi normal modes of growing dirty black holes
• Black hole thermodynamics in the presence of a maximal length and minimum measurable in momentum
• Quasi-normal modes of black holes in scalar-tensor theories with non-minimal derivative couplings
• Quasinormal modes of a massive scalar field nonminimally coupled to gravity in the spacetime of Self-Dual Black Hole
• The ringing of quantum corrected Schwarzschild black hole with GUP

Cited by in corpus (12)

• Generalized Extended Uncertainty Principle Black Holes: Shadow and lensing in the macro- and microscopic realms
• Noncommutative Schwarzschild black hole surrounded by quintessence: Thermodynamics, Shadows and Quasinormal modes
• Long-lived Quasinormal modes around regular black holes and wormholes in Covariant Effective Quantum Gravity
• Schwarzschild Black Hole Surrounded by Perfect Fluid Dark Matter in the presence of Quintessence Matter Field
• Thermodynamic Properties of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity
• Nonlinear Magnetically Charged Black Holes with Phantom Global Monopoles: Thermodynamics, Geodesics, Quasinormal Modes, and Grey-Body Factors
• Thermodynamic properties of Quantum-Corrected AdS Black Hole with Phantom Global Monopoles
• Constraining a one-dimensional wave-type gravitational wave parameter through the shadow of M87* via Event Horizon Telescope
• Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics
• Extended uncertainty principle and Van der Waals black holes
• Schwarzschild black hole surrounded by a cavity and phase transition in the non-commutative gauge theory of gravity
• The ideal gas of Bosons and Fermions in Harmonic Traps in the framework of Extended Uncertainty Principle