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Vacuum solutions of five dimensional Einstein equations generated by inverse scattering method
Shinya Tomizawa, Yoshiyuki Morisawa, Yukinori Yasui
We study stationary and axially symmetric two solitonic solutions of five dimensional vacuum Einstein equations by using the inverse scattering method developed by Belinski and Zak…
Toric Sasaki-Einstein manifolds and Heun equations
Takeshi Oota, Yukinori Yasui
Symplectic potentials are presented for a wide class of five dimensional toric Sasaki-Einstein manifolds, including L^{a,b,c} which was recently constructed by Cvetic et al. The sp…
Scalar Laplacian on Sasaki-Einstein Manifolds Y^{p,q}
Hironobu Kihara, Makoto Sakaguchi, Yukinori Yasui
We study the spectrum of the scalar Laplacian on the five-dimensional toric Sasaki-Einstein manifolds Y^{p,q}. The eigenvalue equation reduces to Heun's equation, which is a Fuchsi…
Notes on Five-dimensional Kerr Black Holes
Makoto Sakaguchi, Yukinori Yasui
The geometry of five-dimensional Kerr black holes is discussed based on geodesics and Weyl curvatures. Kerr-Star space, Star-Kerr space and Kruskal space are naturally introduced b…