Integrability of particle motion and scalar field propagation in Kerr(anti) de Sitter black hole spacetimes in all dimensions
Abstract
We study the HamiltonJacobi and massive KleinGordon equations in the general Kerr(Anti) de Sitter black hole background in all dimensions. Complete separation of both equations is carried out in cases when there are two sets of equal black hole rotation parameters. We analyze explicitly the symmetry properties of these backgrounds that allow for this Liouville integrability and construct a nontrivial irreducible Killing tensor associated with the enlarged symmetry group which permits separation. We also derive firstorder equations of motion for particles in these backgrounds and examine some of their properties. This work greatly generalizes previously known results for both the MyersPerry metrics, and the Kerr(Anti) de Sitter metrics in higher dimensions.
 Authors:
 Theoretical Physics Institute, University of Alberta, Edmonton, Alberta T6G 2J1 (Canada)
 Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1 (Canada)
 Publication Date:
 OSTI Identifier:
 20774529
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 72; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.72.124008; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; DE SITTER GROUP; EQUATIONS OF MOTION; HAMILTONJACOBI EQUATIONS; KLEINGORDON EQUATION; METRICS; ROTATION; SCALAR FIELDS; SPACETIME; SYMMETRY
Citation Formats
Vasudevan, Muraari, and Stevens, Kory A. Integrability of particle motion and scalar field propagation in Kerr(anti) de Sitter black hole spacetimes in all dimensions. United States: N. p., 2005.
Web. doi:10.1103/PhysRevD.72.124008.
Vasudevan, Muraari, & Stevens, Kory A. Integrability of particle motion and scalar field propagation in Kerr(anti) de Sitter black hole spacetimes in all dimensions. United States. doi:10.1103/PhysRevD.72.124008.
Vasudevan, Muraari, and Stevens, Kory A. Thu .
"Integrability of particle motion and scalar field propagation in Kerr(anti) de Sitter black hole spacetimes in all dimensions". United States.
doi:10.1103/PhysRevD.72.124008.
@article{osti_20774529,
title = {Integrability of particle motion and scalar field propagation in Kerr(anti) de Sitter black hole spacetimes in all dimensions},
author = {Vasudevan, Muraari and Stevens, Kory A.},
abstractNote = {We study the HamiltonJacobi and massive KleinGordon equations in the general Kerr(Anti) de Sitter black hole background in all dimensions. Complete separation of both equations is carried out in cases when there are two sets of equal black hole rotation parameters. We analyze explicitly the symmetry properties of these backgrounds that allow for this Liouville integrability and construct a nontrivial irreducible Killing tensor associated with the enlarged symmetry group which permits separation. We also derive firstorder equations of motion for particles in these backgrounds and examine some of their properties. This work greatly generalizes previously known results for both the MyersPerry metrics, and the Kerr(Anti) de Sitter metrics in higher dimensions.},
doi = {10.1103/PhysRevD.72.124008},
journal = {Physical Review. D, Particles Fields},
number = 12,
volume = 72,
place = {United States},
year = {Thu Dec 15 00:00:00 EST 2005},
month = {Thu Dec 15 00:00:00 EST 2005}
}

We construct asymptotically AdS black hole solutions, with a selfinteracting bulk scalar field, in the context of 5D general relativity. As the observable universe is characterized by spatial flatness, we focus on solutions where the horizon of the black hole, and subsequently all 3D hypersurfaces for fixed radial coordinate, have zero spatial curvature. We examine two cases for the black hole scalar hair: (a) an exponential decaying scalar field profile and (b) an inverse power scalar field profile. The scalar black hole solutions we present in this paper are characterized by four functions f(r), a(r), {phi}(r), and V({phi}(r)). Only themore »

Quasinormal modes of a massless charged scalar field on a small ReissnerNordstroemantide Sitter black hole
We investigate quasinormal modes of a massless charged scalar field on a small ReissnerNordstroemantide Sitter (RNAdS) black hole both with analytical and numerical approaches. In the analytical approach, by using the small black hole approximation (r{sub +}<<L), we obtain the quasinormal mode frequencies in the limit of r{sub +}/L{yields}0, where r{sub +} and L stand for the black hole event horizon radius and the AdS scale, respectively. We then show that the small RNAdS black hole is unstable if its quasinormal modes satisfy the superradiance condition and that the instability condition of the RNAdS black hole in the limit ofmore » 
Quasinormal behavior of massless scalar field perturbation in ReissnerNordstroem antide Sitter spacetimes
We present a comprehensive study of the massless scalar field perturbation in the ReissnerNordstroem antide Sitter (RNAdS) spacetime and compute its quasinormal modes (QNM). For the lowest lying mode, we confirm and extend the dependence of the QNM frequencies on the black hole charge obtained in previous works. In near extreme limit, under the scalar perturbation we find that the imaginary part of the frequency tends to zero, which is consistent with the previous conjecture based on electromagnetic and axial gravitational perturbations. For the extreme value of the charge, the asymptotic field decay is dominated by a powerlaw tail, whichmore » 
Quasilocal thermodynamics of Kerr and Kerrantide Sitter spacetimes and the AdS/CFT correspondence
We consider the quasilocal thermodynamics of rotating black holes in asymptotically flat and asymptotically antide Sitter (AdS) spacetimes. Using the minimal number of intrinsic boundary counterterms inspired by the AdS/conformal field theory correspondence, we find that we are able to carry out an analysis of the thermodynamics of these black holes for virtually all possible values of the rotation parameter and cosmological constant that leave the quasilocal boundary well defined, going well beyond what is possible with background subtraction methods. Specifically, we compute the quasilocal energy E and angular momentum J for arbitrary values of the rotation, mass, and cosmologicalmore »