50 citations · 541 across the 47 of their papers we have counts for
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Chaos in Geodesic Motion around a Black Ring
Takahisa Igata, Hideki Ishihara, Yohsuke Takamori
We study bound orbits of a free particle around a singly rotating black ring. We find there exists chaotic motion of a particle which is gravitationally bound to the black ring by…
Stable Bound Orbits around Black Rings
Takahisa Igata, Hideki Ishihara, Yohsuke Takamori
We examine bound orbits of particles around singly rotating black rings. We show that there exist stable bound orbits in toroidal spiral shape near the axis of the ring, and also e…
Constants of Motion for Constrained Hamiltonian Systems: A Particle around a Charged Rotating Black Hole
Takahisa Igata, Tatsuhiko Koike, Hideki Ishihara
We discuss constants of motion of a particle under an external field in a curved spacetime, taking into account the Hamiltonian constraint which arises from reparametrization invar…
Toroidal Spiral Strings in Higher-dimensional Spacetime
Takahisa Igata, Hideki Ishihara
We report on our progress in research of separability of the Nambu-Goto equation for test strings with a symmetric configuration in a shape of toroidal spiral in a five-dimensional…
Killing Tensors and Conserved Quantities of a Relativistic Particle in External Fields
Takahisa Igata, Tatsuhiko Koike, Hideki Ishihara
We generalize Killing equations to a test particle system which is subjected to external force. We relax the conservation condition by virtue of reparametrization invariance of a p…