Introduction. It has been shown in a previous paper [3]1 that every algebra A with radical R, such that A/R is separable, is a homomorphic image of a certain maximal algebra which is determined to within an isomorphism by A/R, the A/R-modu\e (two-sided) R/R1, and the index of nilpotency of R. Furthermore, some indication was given of how the structure of maximal algebras can be determined in si...

By applying the dimensionless scheme, we investigate quasinormal modes and phase transitions analytically for three types of regular black holes. The universal deviations to first law mechanics in holes are proved. Meanwhile, verify that second order Davies points still exist these models. In addition, calculate their eikonal limit by light ring/quasinormal mode correspondence, discuss spiral-l...

Quasinormal modes of perturbed black holes have recently gained much interest because their tight relations with the gravitational wave signals emitted during post-merger phase a binary hole coalescence. One intriguing features these is that they respect no-hair theorem, and hence, can be used to test space-times underlying theory. In this paper, we exhibit three different aspects how quasinorm...

The BTZ black hole is geometrically finite. This means that its three dimensional hyperbolic structure as encoded in its metric is in 1-1 correspondence with the Teichmuller space of its boundary which is a two torus. The equivalence of different Teichmuller parameters related by the action of the modular group therefore requires the invariance of the monodromies of the solutions of the wave eq...

Abstract: The issue concerning rigorous methods recently developed in deriving the asymptotics of quasi-normal modes is revisited and applied to a generic non rotating multi-horizon black holes solution. Some examples are illustrated and the single horizon cases are also considered. As a result, the asymptotics for large angular momentum parameter is shown to depend on the difference between th...

In this paper, the class of weakly left C-wrpp semigroups which includes the class of weakly left C-rpp semigroups as a subclass is introduced. To particularly show that the spined product of a left C-wrpp semigroup and a right normal band which is a weakly left C-wrpp semifroup by virtue of left C-full Ehremann cyber groups recently obtained by authors Li-Shum, results obtained by Tang and Du-...

Phys. Fluids 23, 107102 (2011) On electric fields created by quantized vortices Low Temp. Phys. 37, 884 (2011) Torsional oscillation of vortex tangles. Possible applications to oscillations of solid 4He Low Temp. Phys. 37, 408 (2011) Eddy damped quasinormal Markovian simulations of superfluid turbulence in helium II Phys. Fluids 22, 125103 (2010) Comments on the article “Electric properties of ...

We prove some further properties of the operator T ∈ nQN n-power quasinormal, defined in Sid Ahmed, 2011 . In particular we show that the operator T ∈ nQN satisfying the translation invariant property is normal and that the operator T ∈ nQN is not supercyclic provided that it is not invertible. Also, we study some cases in which an operator T ∈ 2QN is subscalar of order m; that is, it is simila...

We investigate the scalar field perturbations of the 4+1-dimensional Schwarzschild black hole immersed in a Gödel Universe, described by the Gimon-Hashimoto solution. This may model the influence of the possible rotation of the Universe upon the radiative processes near a black hole. In the regime when the scale parameter j of the Gödel background is small, the oscillation frequency is linearly...

We discuss a new ringdown frequency mode for vacuum perturbations of the Kerr black hole. We evolve initial data for the vacuum radial Teukolsky equation using a near horizon approximation and find a frequency mode analogous to that found in a recent study of radiation generated by a plunging particle close to the Kerr horizon. We discuss our results in the context of that study. We also explor...