The Fate of a Five-Dimensional Rotating Black Hole via Hawking Radiation

We study the evolution of a five-dimensional rotating black hole emitting scalar field radiation via the Hawking process for arbitrary initial values of the two rotation parameters $a$ and $b$. It is found that any such black hole whose initial rotation parameters are both nonzero evolves toward an asymptotic state $a/M^{1/2}=b/M^{1/2}={\rm const}(\neq 0)$, where this constant is independent of the initial values of $a$ and $b$.Comment: 6 pages, 6 figure

Preliminary Study to the Effect of Res Judicata

Many Japanese textbooks on Civil Procedure explain the res judicata as the effect of final judgments on claim (the existence or nonexistence of rights or legal relationships) when the same rights or legal relationships are asserted as the claim of the following litigation or its premise or when the claim of the following litigation is inconsistent with the prior final judgment. My research note proposes that res judicata should be understood simply as the effect to prohibit parties from asserting what is inconsistent with the decision on claim (as to the existence or nonexistence of right or legal relationship) in the prior final judgment whenever the same right or legal relationship would be the point of issue in dispute in the following litigation between persons who were parties or who are in privity with persons who were parties in prior litigation

Supersymmetric Rotating Black Hole in a Compactified Spacetime

We construct a supersymmetric rotating black hole with asymptotically flat four-dimensional spacetime times a circle, by superposing an infinite number of BMPV black hole solutions at the same distance in one direction. The near horizon structure is the same as that of the five-dimensional BMPV black hole. The rotation of this black hole can exceed the Kerr bound in general relativity ($q\equiv a/G_4 M=1$), if the size is small.Comment: 7 pages, 3 figures; v2: comparison with black ring removed, detailed discussion of rotation added, refs. added, v3: minor corrections, version to appear in PR

Bioinspired One-Step Synthesis of Pomegranate-like Silica@Gold Nanoparticles with Surface-Enhanced Raman Scattering Activity

Gold–silica (Au–SiO2) nanohybrids are of great technological importance, and it is crucial to develop facile synthetic protocols to prepare Au–SiO2 nanohybrids with novel structures. Here we report the bioinspired synthesis of pomegranate-like SiO2@Au nanoparticles (P-SiO2@Au NPs) via one-step aqueous synthesis from chloroauric acid and tetraethyl orthosilicate mediated by a basic amino acid, arginine. Effects of chloroauric acid, tetraethyl orthosilicate, and arginine on the morphology and optical property of the products are investigated in detail. The P-SiO2@Au NPs achieve tunable plasmon resonance depending on the amount of chloroauric acid, which affects the size and shape of the P-SiO2@Au NPs. Finite-difference time-domain simulations are performed, revealing that the plasmon peak red-shifts with increasing particle size. Arginine serves as the reducing and capping agents for Au as well as the catalyst for SiO2 formation and also promotes the combination of Au and SiO2. Formation process of the P-SiO2@Au NPs is clarified through time-course analysis. The P-SiO2@Au NPs show good sensitivity for both colloidal and paper-based surface-enhanced Raman scattering measurements. They achieve enhancement factors of 4.3 × 107–8.5 × 107 and a mass detection limit of ca. 1 ng using thiophenol as the model analyte.The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acs.langmuir.0c00334