44 research outputs found
Three Charge Supertubes in Type IIB Plane Wave Backgrounds
We deform the supersymmetric black ring of five dimensional supergravity
coupled to N-1 vector multiplets to obtain an asymptotically Goedel
supersymmetric black ring. For the U(1)^3 model we lift this solution to obtain
a three charge D1-D5-P supertube which asymptotes to a 1/2 supersymmetric plane
wave of Type IIB supergravity. Further, we also show how one may deform the
asymptotically flat three charge supertube of type IIB, in the special case of
vanishing KK dipole charge, to a three charge supertube which asymptotes to the
maximally supersymmetric plane wave.Comment: 1+14 pages, JHEP
The Black Di-Ring: An Inverse Scattering Construction
We use the inverse scattering method (ISM) to derive concentric
non-supersymmetric black rings. The approach used here is fully
five-dimensional, and has the modest advantage that it generalizes readily to
the construction of more general axi-symmetric solutions.Comment: v3: 2 subsections added, typos fixed, more refs, journal version. v4:
a transcription error in the ADM mass fixe
Supersymmetric Black Rings on Eguchi-Hanson Space
We construct new supersymmetric black ring solutions on the Eguchi-Hanson
base space as solutions of five-dimensional minimal supergravity. The solutions
have the same two angular momentum components and the asymptotic structure on
timeslices is asymptotically locally Euclidean. The S^1-direction of the black
ring is along the equator on a S^2-bolt on the Eguchi-Hanson space. We also
investigate the limit to a black hole, which describes the BMPV black hole with
the topology of the lens space L(2;1)=S^3/Z_2.Comment: 21 page
Geodesics and Symmetries of Doubly-Spinning Black Rings
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.Comment: Minor corrections/clarifications and references added, results of
paper unchanged. Accepted for publication by Class. Quant. Grav. (26 pages, 5
figures
Constructing near-horizon geometries in supergravities with hidden symmetry
We consider the classification of near-horizon geometries in a general
two-derivative theory of gravity coupled to abelian gauge fields and uncharged
scalars in four and five dimensions, with one and two commuting rotational
symmetries respectively. Assuming that the theory of gravity reduces to a 3d
non-linear sigma model (as is typically the case for ungauged supergravities),
we show that the functional form of any such near-horizon geometry may be
determined. As an example we apply this to five dimensional minimal
supergravity. We also construct an example of a five parameter near-horizon
geometry solution to this theory with S^1 X S^2 horizon topology. We discuss
its relation to the near-horizon geometries of the yet to be constructed
extremal black rings with both electric and dipole charges.Comment: Latex, 30 pages. v2: discussion in section 5 modified and improved,
other minor changes, references adde
Rotating black rings on Taub-NUT
In this paper, we construct new solutions describing rotating black rings on
Taub-NUT using the inverse-scattering method. These are five-dimensional vacuum
space-times, generalising the Emparan-Reall and extremal Pomeransky-Sen'kov
black rings to a Taub-NUT background space. When reduced to four dimensions in
Kaluza-Klein theory, these solutions describe (possibly rotating) electrically
charged black holes in superposition with a finitely separated magnetic
monopole. Various properties of these solutions are studied, from both a five-
and four-dimensional perspective.Comment: 33 pages, 3 figures, LaTe
Black Strings, Black Rings and State-space Manifold
State-space geometry is considered, for diverse three and four parameter
non-spherical horizon rotating black brane configurations, in string theory and
-theory. We have explicitly examined the case of unit Kaluza-Klein momentum
black strings, circular strings, small black rings and black
supertubes. An investigation of the state-space pair correlation functions
shows that there exist two classes of brane statistical configurations, {\it
viz.}, the first category divulges a degenerate intrinsic equilibrium basis,
while the second yields a non-degenerate, curved, intrinsic Riemannian
geometry. Specifically, the solutions with finitely many branes expose that the
two charged rotating black strings and three charged rotating small
black rings consort real degenerate state-space manifolds. Interestingly,
arbitrary valued -dipole charged rotating circular strings and Maldacena
Strominger Witten black rings exhibit non-degenerate, positively curved,
comprehensively regular state-space configurations. Furthermore, the
state-space geometry of single bubbled rings admits a well-defined, positive
definite, everywhere regular and curved intrinsic Riemannian manifold; except
for the two finite values of conserved electric charge. We also discuss the
implication and potential significance of this work for the physics of black
holes in string theory.Comment: 41 pages, Keywords: Rotating Black Branes; Microscopic
Configurations; State-space Geometry, PACS numbers: 04.70.-s Physics of black
holes; 04.70.Bw Classical black holes; 04.70.Dy Quantum aspects of black
holes, evaporation, thermodynamic
Uniqueness Theorem for Black Hole Space-Times with Multiple Disconnected Horizons
We show uniqueness of stationary and asymptotically flat black hole
space-times with multiple disconnected horizons and with two rotational Killing
vector fields in the context of five-dimensional minimal supergravity
(Einstein-Maxwell-Chern-Simons gravity). The novelty in this work is the
introduction in the uniqueness theorem of intrinsic local charges measured near
each horizon as well as the measurement of local fluxes besides the asymptotic
charges that characterize a particular solution. A systematic method of
defining the boundary conditions on the fields that specify a black hole
space-time is given based on the study of its rod structure (domain structure).
Also, an analysis of known solutions with disconnected horizons is carried out
as an example of an application of this theorem.Comment: 28 pages, 5 figures. v3: Further improvements on uniqueness theorem,
Lemma introduced for clarity of derivation, new quantities introduced to
treat special case with zero flux, refs. added, typos fixe
Inverse Scattering Construction of a Dipole Black Ring
Using the inverse scattering method in six dimensions we construct the dipole
black ring of five dimensional Einstein-Maxwell-dilaton theory with dilaton
coupling a = 2(2/3)^(1/2).The 5d theory can be thought of as the NS sector of
low energy string theory in Einstein frame. It can also be obtained by
dimensionally reducing six-dimensional vacuum gravity on a circle. Our new
approach uses GL(4, R) integrability structure of the theory inherited from
six-dimensional vacuum gravity. Our approach is also general enough to
potentially generate dipole black objects carrying multiple rotations as well
as more exotic multi-horizon configurations
Black rings with a small electric charge: gyromagnetic ratios and algebraic alignment
We study electromagnetic test fields in the background of vacuum black rings
using Killing vectors as vector potentials. We consider both spacetimes with a
rotating S^1 and with a rotating S^2 and we demonstrate, in particular, that
the gyromagnetic ratio of slightly charged black rings takes the value g=3
(this will in fact apply to a wider class of spacetimes). We also observe that
a S^2-rotating black ring immersed in an external "aligned" magnetic field
completely expels the magnetic flux in the extremal limit. Finally, we discuss
the mutual alignment of principal null directions of the Maxwell 2-form and of
the Weyl tensor, and the algebraic type of exact charged black rings. In
contrast to spherical black holes, charged rings display new distinctive
features and provide us with an explicit example of algebraically general (type
G) spacetimes in higher dimensions. Appendix A contains some global results on
black rings with a rotating 2-sphere. Appendix C shows that g=D-2 in any D>=4
dimensions for test electromagnetic fields generated by a time translation.Comment: 22 pages, 3 figures. v2: new appendix C finds the gyromagnetic ratio
g=D-2 in any dimensions, two new references. To appear in JHE