727 research outputs found
Charged Rotating Kaluza-Klein Black Holes Generated by G2(2) Transformation
Applying the G_{2(2)} generating technique for minimal D=5 supergravity to
the Rasheed black hole solution, we present a new rotating charged Kaluza-Klein
black hole solution to the five-dimensional Einstein-Maxwell-Chern-Simons
equations. At infinity, our solution behaves as a four-dimensional flat
spacetime with a compact extra dimension and hence describes a Kaluza-Klein
black hole. In particlar, the extreme solution is non-supersymmetric, which is
contrast to a static case. Our solution has the limits to the asymptotically
flat charged rotating black hole solution and a new charged rotating black
string solution.Comment: 24 page
Wiretapping a hidden network
We consider the problem of maximizing the probability of hitting a
strategically chosen hidden virtual network by placing a wiretap on a single
link of a communication network. This can be seen as a two-player win-lose
(zero-sum) game that we call the wiretap game. The value of this game is the
greatest probability that the wiretapper can secure for hitting the virtual
network. The value is shown to equal the reciprocal of the strength of the
underlying graph.
We efficiently compute a unique partition of the edges of the graph, called
the prime-partition, and find the set of pure strategies of the hider that are
best responses against every maxmin strategy of the wiretapper. Using these
special pure strategies of the hider, which we call
omni-connected-spanning-subgraphs, we define a partial order on the elements of
the prime-partition. From the partial order, we obtain a linear number of
simple two-variable inequalities that define the maxmin-polytope, and a
characterization of its extreme points.
Our definition of the partial order allows us to find all equilibrium
strategies of the wiretapper that minimize the number of pure best responses of
the hider. Among these strategies, we efficiently compute the unique strategy
that maximizes the least punishment that the hider incurs for playing a pure
strategy that is not a best response. Finally, we show that this unique
strategy is the nucleolus of the recently studied simple cooperative spanning
connectivity game
Charged Black Holes in a Rotating Gross-Perry-Sorkin Monopole Background
We present a new class of stationary charged black hole solutions to
five-dimensional Einstein-Maxwell-Chern-Simons theories. We construct the
solutions by utilizing so called the squashing transformation. At infinity, our
solutions behave as a four-dimensional flat spacetime plus a `circle' and hence
describe a Kaluza-Klein black hole. More precisely, our solutions can be viewed
as a charged rotating black hole in a rotating Gross-Perry-Sorkin monopole
background with the black hole rotation induced from the background rotation.Comment: 25 pages, 6 figure
Uniqueness of Rotating Charged Black Holes in Five-Dimensional Minimal Gauged Supergravity
We study a five-dimensional spacetime admitting, in the presence of torsion,
a non-degenerate conformal Killing-Yano 2-form which is closed with respect to
both the usual exterior differentiation and the exterior differentiation with
torsion. Furthermore, assuming that the torsion is closed and co-closed with
respect to the exterior differentiation with torsion, we prove that such a
spacetime is the only spacetime given by the Chong-Cvetic-Lu-Pope solution for
stationary, rotating charged black holes with two independent angular momenta
in five-dimensional minimal gauged supergravity.Comment: Dedicated to Nihat Berker on the occasion of his 60th birthday; 13
pages, REVTe
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
G2 Dualities in D=5 Supergravity and Black Strings
Five dimensional minimal supergravity dimensionally reduced on two commuting
Killing directions gives rise to a G2 coset model. The symmetry group of the
coset model can be used to generate new solutions by applying group
transformations on a seed solution. We show that on a general solution the
generators belonging to the Cartan and nilpotent subalgebras of G2 act as
scaling and gauge transformations, respectively. The remaining generators of G2
form a sl(2,R)+sl(2,R) subalgebra that can be used to generate non-trivial
charges. We use these generators to generalize the five dimensional Kerr string
in a number of ways. In particular, we construct the spinning electric and
spinning magnetic black strings of five dimensional minimal supergravity. We
analyze physical properties of these black strings and study their
thermodynamics. We also explore their relation to black rings.Comment: typos corrected (26 pages + appendices, 2 figures
New Phase Diagram for Black Holes and Strings on Cylinders
We introduce a novel type of phase diagram for black holes and black strings
on cylinders. The phase diagram involves a new asymptotic quantity called the
relative binding energy. We plot the uniform string and the non-uniform string
solutions in this new phase diagram using data of Wiseman. Intersection rules
for branches of solutions in the phase diagram are deduced from a new Smarr
formula that we derive.Comment: 19 pages, 6 figures, v2: typos corrected, v3: refs. added, comment on
bounds on the relative binding energy n added in end of section
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