An analytical method based on a renormalized q parameter for Gaussian-beam propagation and properly matched self-consistent complex q parameters is proposed to aid in the design of arbitrary-astigmatismcompensated Kerr-lens mode-locked ring cavity lasers. The q parameters throughout the ring cavity can be calculated by solution of an algebraically quadratic equation for an arbitrarily thick Ker...

The Kerr/CFT correspondence is a holographic duality between a two dimensional chiral conformal field theory (CFT) and the very near horizon limit of an extremal black hole, which includes an AdS2 structure. To understand the dual chiral CFT2, we apply the Kerr/CFT correspondence to a certain class of black holes embedded in string theory, which include the D1-D5-P and the BMPV black holes, and...

Abstract As the electric field increases, the induced birefringence of a polymer-stabilized blue-phase liquid crystal gradually deviates from the conventional Kerr effect and finally saturates. A new convergence model, named extended Kerr effect, is proposed to explain this saturation phenomenon. This model will give a more accurate account on the electro-optic effect of the emerging bluephase ...

Static light scattering and electric field-induced Kerr measurements were performed above the nematic-isotropic phase transition of a terminal-lateral-lateral-terminal negative Poisson ratio trimer. For both measurements the inverse susceptibility was observed to be nearly linear with temperature, a result inconsistent with our previously reported Kerr data [Phys. Rev. E 58, 2041 (1998)].

We prove that for any vacuum, maximal, asymptotically flat, axisymmetric initial data for Einstein equations close to extreme Kerr data, the inequality √ J ≤ m is satisfied, where m and J are the total mass and angular momentum of the data. The proof consists in showing that extreme Kerr is a local minimum of the mass.

We prove the existence of a family of initial data for Einstein equations which represent small deformations of the extreme Kerr black hole initial data. The data in this family have the same asymptotic geometry as extreme Kerr. In particular, the deformations preserve the angular momentum and the area of the cylindrical end.

We elucidate the ‘right’ process for energy extraction from Kerr black holes through ‘FFDE’ magnetospheres, free from causality violation. It is shown that the magnetosphere of a Kerr black hole possesses the double-structure, consisting of the inner and outer magnetospheres with the pair-creation gap between them and with respective unipolar batteries at the inner and outer surfaces of the gap.

Using the Pöshl-Teller approximation, we evaluate the neutrino quasinormal modes (QNMs) of a Kerr-Newman-de Sitter black hole. The result shows that for a Kerr-Newman-de Sitter black hole, massless neutrino perturbation of large Λ, positive m and small value of n will decay slowly. PACS number(s): 04.70.-s, 04.50.+h, 11.15.-q, 11.25.Hf e-mail: ygshen @center.shao.ac.cn

— We prove uniqueness of the Kerr black holes within the connected, non-degenerate, analytic class of regular vacuum black holes. Résumé (Sur l’unicité de trous noirs stationnaires dans le vide). — On démontre l’unicité de trous noirs de Kerr dans la classe de trous noirs connexes, analytiques, réguliers, non-dégénérés, solutions des équations d’Einstein du vide.