Quasinormal modes of Dirac field in 2 + 1 dimensional gravitational wave background

Pseudo-supersymmetric approach to the Dirac operator in the Schwarzschild spacetime

“…Furthermore, studies on black holes have increasingly drawn attention to QG, particularly since the advancements in General Relativity such as black holes in massive gravity and Quasinormal Modes(QNMs) of Dirac field perturbations are the popular topics which test the QG. For instance, the theory of Lorentz-violating massive gravity is studied in [2], exact solutions to the QNMs of Dirac field can be found in [3], perturbation methods for the QNMs [4], higher order WKB approach to Hayward black hole in different spacetime geometries [5], numerical approaches using bound states [6] are the interesting studies. Considering the analytical solutions to the fermion behavior in spacetime geometry, are difficulties in solving the Dirac equation, or it may be that in some geometries the equation is not analytically solvable.…”

Effects of Gravity’s Rainbow on a Relativistic Spin-1 Oscillator

“…Therefore, it is crucial to look at how, for instance, a nontrivial topology affects a QS. Also, in addition to the use of QMSs to detect gravitational waves [40], the effect of gravitational fields produced by cosmic strings on QSs has long drawn significant interest [41][42][43]. In what follows, we will deal with a relativistic spin-1 oscillator in the three dimensional background geometry induced by static cosmic string (see also [44]) and will try to obtain nonperturbative results including the effects of gravity's rainbow functions on such a spin-1 oscillator.…”

Radiation fluxes of gravitational, electromagnetic, and scalar perturbations in type-D black holes: an exact approach

“…Furthermore, these solutions have been utilized to calculate QNMs of the Teukolsky equation describing the Schwarzschild black hole [38], including its continuous spectrum [39], as well as for the central engine of Gamma-ray bursts (GRB) and cosmic jet of the Kerr black hole [40,41]. Following Fiziev's work, numerous researchers have employed Heun class functions to study source-free perturbation equations in various spacetimes, such as QNMs [42] of Dirac field in 2+1 dimensional GW background [43], QNMs and the reflection coefficient [44] of massless fields in Kerr-Newman-de Sitter BHs [45], and QNMs of the massive scalar field in Kerr-AdS 5 BHs [46]. Moreover, Cook et al [47] converted the modes equations of Kerr BHs into the confluent Heun equation and then solved the radial equation using the continued fraction method, and the angular equation using the spectral method, resulting in improved accuracy for the QNMs.…”