Stable bound orbits around black rings

Abstract

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 exist stable circular orbits on the 'axis' as special cases. The stable bound orbits can have arbitrary large size if the thickness of the ring is less than a critical value.

Chaos in Geodesic Motion Around a Black Ring

“…As is shown in the paper, 14 if l φ and l ψ are chosen in a suitable range, the effective potential U has a local minimum at a point, i.e., there exist stable bound orbits around the black ring. In this section, we observe appearance of chaotic behavior of bound orbits around the black ring.…”

Stable Bound Orbits around Black Rings

“…They occur by a balance of Newton's gravitational term and subleading higher multipole term. Detailed discussion is found in our paper [7]. In addition, interesting issue of dynamical particle motion in the black ring geometry is discussed in [8].…”

Membranes with a symmetry of cohomogeneity one

“…In particular, in the case when the cohomogeneity one symmetry exists, the EOM are reduced to ODEs. Examples are seen in stationary strings [3][4][5][6][7][8][9] and branes [10], and cohomogeneity one strings [11][12][13][14][15].…”