Takashi Mishima

New Axisymmetric Stationary Solutions of Five‐dimensional Vacuum Einstein Equations with Asymptotic Flatness

New axisymmetric stationary solutions of the vacuum Einstein equations in five-dimensional asymptotically flat spacetimes are obtained by using solitonic solution-generating techniques. The new solutions are shown to be equivalent to the four-dimensional multisolitonic solutions derived from particular class of four-dimensional Weyl solutions and to include different black rings from those obtained by Emparan and Reall.

Solitonic generation of the five-dimensional black ring solution

Using the solitonic solution-generating technique, we rederived the one-rotational five-dimensional black ring solution found by Emparan and Reall. The seed solution is not the Minkowski metric, which is the seed of the S{sup 2}-rotating black ring. The obtained solution has more parameters than Emparan and Realls S{sup 1}-rotating black ring. We found the conditions of parameters to reduce the solution to the S{sup 1}-rotating black ring. In addition, we examined the relation between the expressions of the metric in the prolate-spheroidal coordinates and in the canonical coordinates.

Rotating Black Holes on Kaluza-Klein Bubbles

Using the solitonic solution-generating techniques, we generate a new exact solution which describes a pair of rotating black holes on a Kaluza-Klein bubble as a vacuum solution in the five-dimensional Kaluza-Klein theory. We also investigate the properties of this solution. Two black holes with topology

Chapter 4 Exact Solutions II: Systematic Solution-Generation of Five-Dimensional Black Holes

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A newly established strain of spontaneously hypertensive rat with a defect of ascorbic acid biosynthesis

are rotating along the same direction even though the directions of intrinsic spin of the black holes are different. The bubble plays a role in holding two black holes. In the static case, it coincides with the solution found by Elvang and Horowitz.

Solitonic generation of vacuum solutions in five-dimensional general relativity

Solitonic solution-generating methods are powerful tools to construct nontrivial black hole solutions of the higher-dimensional Einstein equations systematically. In five dimensions particularly, the solitonic methods can be successfully applied to the construction of asymptotically Minkowski spacetimes with multiple horizons. We review the solitonic methods applicable to higher-dimensional vacuum spacetimes and present some five-dimensional examples derived from the methods.

Relationship between solitonic solutions of five-dimensional Einstein equations

To investigate the effects of ascorbic acid deficiency on the pathogenesis of hypertension and/or its complications, we established a rat strain with both genetic hypertension and a defect of ascorbic acid biosynthesis. The od gene (L-gulono-gamma-lactone oxidase gene) of the ODS (Osteogenic Disorder Shionogi) rat, which is a rat mutant unable to synthesize ascorbic acid, was introduced into spontaneously hypertensive rats (SHR), and a novel congenic strain, SHR-od, was established. SHR-od showed scurvy when fed an ascorbic acid-free diet. Systolic blood pressure of male SHR-od began to increase at 9 weeks of age and reached 190-200 mmHg at 20 weeks of age. In 25-week-old SHR-od, ascorbic acid deficiency when fed an ascorbic acid-free diet for 6 weeks caused a remarkable reduction of blood pressure to lower than 110 mmHg. The wall to lumen ratio of the testicular artery in ascorbic acid-deficient SHR-od was lower than that of the control rats. When rats were fed a diet supplemented with ascorbic acid (300 mg/kg), ascorbic acid concentration in SHR-od was lower in the serum and liver than that in ODS rats. These results indicate that ascorbic acid could be closely related to the development of hypertension in SHR-od. We believe that SHR-od will be a useful model for experimental studies on hypertension and its complications, since all of them suffer from hypertension spontaneously and the level of ascorbic acid deficiency in these rats could be controlled at will both in concentration and duration.

The hoop conjecture and cosmic censorship in the brane-world

We describe a solitonic solution-generating technique in the five-dimensional general relativity. Reducing the five-dimensional problem to the four-dimensional one, we can systematically obtain single-rotational axially symmetric vacuum solutions. Applying the technique for a simple seed solution, we have previously obtained the series of stationary solutions which includes the

Does the generalized second law hold in the form of time derivative expression

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Hoop Conjecture and Black Holes on a Brane

-rotating black ring. We analyze the qualitative features of these solutions, e.g., conical singularities, closed timelike curves, and spacetime curvatures. We investigate the rod structures of seed and solitonic solutions. We examine the relation between the expressions of the metric in the prolate-spheroidal coordinates and in the