Geodesics and Symmetries of Doubly-Spinning Black Rings

Abstract

This paper studies various properties of the Pomeransky-Sen'kov doubly-spinning black ring spacetime. I discuss the structure of the ergoregion, and then go on to demonstrate the separability of the Hamilton-Jacobi equation for null, zero energy geodesics, which exist in the ergoregion. These geodesics are used to construct geometrically motivated coordinates that cover the black hole horizon. Finally, I relate this weak form of separability to the existence of a conformal Killing tensor in a particular 4-dimensional spacetime obtained by Kaluza-Klein reduction, and show that a related conformal Killing-Yano tensor only exists in the singly-spinning case.

arXiv commentMinor corrections/clarifications and references added, results of paper unchanged. Accepted for publication by Class. Quant. Grav. (26 pages, 5 figures)

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Cited by in corpus (22)

• Exact Black Holes and Universality in the Backreaction of non-linear Sigma Models with a potential in (A)dS4
• Maxwell's Equations in the Myers-Perry Geometry
• Killing(-Yano) Tensors in String Theory
• Killing-Yano tensors and some applications
• Love Numbers for Rotating Black Holes in Higher Dimensions
• Dynamics of test particles in the general five-dimensional Myers-Perry spacetime
• Quasilocal formalism and thermodynamics of asymptotically flat black objects
• Thermodynamic instability of doubly spinning black objects
• Geodesic Motion in the Singly Spinning Black Ring Spacetime
• Extremal Black Hole Horizons
• Geodesic Motion in the (Charged) Doubly Spinning Black Ring Spacetime
• Unbalanced Pomeransky-Sen'kov black ring
• Stable Bound Orbits of Massless Particles around a Black Ring
• Stable Bound Orbits around Black Rings
• Chaos in Geodesic Motion around a Black Ring
• The Stable Trapping Phenomenon for Black Strings and Black Rings and its Obstructions on the Decay of Linear Waves
• A Charged Doubly Spinning Black Ring
• New construction of a charged dipole black ring by Harrison transformation
• Algebraic classification of five-dimensional spacetimes using scalar invariants
• Integrability of Particle System around a Ring Source as the Newtonian Limit of a Black Ring
• Black hole spacetimes with Killing-Yano symmetries
• On the structure of the ergosurface of Pomeransky-Senkov black rings