Analysis of Superradiation Stability of Kerr-Newman Black Hole Using Curve integral

In this article, a new variable y is added here to expand the results of the above article.We use the properties of the Laurent series and the Cauchy integral. When y is greater than a certain limit, the effective potential of the equation does not have a pole, then there is no potential well outside the event horizon, when p 2(a 2 + Q2)/r2 + < ω < mΩH + qΦH,so the Kerr-Newman black hole is superradiantly stable at that time.

Analysis of Superradiation Stability of Kerr-Newman Black Hole Using Curve integral

In this article, a new variable y is added here to expand the results of the above article.We use the properties of the Laurent series and the Cauchy integral. When y is greater than a certain limit, the effective potential of the equation does not have a pole, then there is no potential well outside the event horizon, when p 2(a 2 + Q2)/r2 + < ω < mΩH + qΦH,so the Kerr-Newman black hole is superradiantly stable at that time.

Analysis of Superradiation Stability of Kerr-Newman Black Hole Using Curve integral

In this article, a new variable y is added here to expand the results of the above article.We use the properties of the Laurent series and the Cauchy integral. When y is greater than a certain limit, the effective potential of the equation does not have a pole, then there is no potential well outside the event horizon, when $\sqrt{2(a^2+Q^2)}/{r^2_+}&lt; \omega&lt; m\varOmega_H+q\varPhi_H$,so\ the Kerr-Newman black hole is superradiantly stable at that time.

Dirac Integral Equations for Dielectric and Plasmonic Scattering

A new integral equation formulation is presented for the Maxwell transmission problem in Lipschitz domains. It builds on the Cauchy integral for the Dirac equation, is free from false eigenwavenumbers for a wider range of permittivities than other known formulations, can be used for magnetic materials, is applicable in both two and three dimensions, and does not suffer from any low-frequency breakdown. Numerical results for the two-dimensional version of the formulation, including examples featuring surface plasmon waves, demonstrate competitiveness relative to state-of-the-art integral formulations that are constrained to two dimensions. However, our Dirac integral equation performs equally well in three dimensions, as demonstrated in a companion paper.

Exponentially convergent method for an abstract integro - differential equation with fractional Hardy - Titchmarsh integral

A homogeneous fractional-differential equation with a fractional Hardy—Titchmarsh integral and an unboun-ded operator coefficient in a Banach space is considered. The conditions for the representation of the solution in the form of a Danford—Cauchy integral are established, and an exponentially convergent approximation method is developed.