245 research outputs found
A Bestiary of Higher Dimensional Taub-NUT-AdS Spacetimes
We present a menagerie of solutions to the vacuum Einstein equations in six,
eight and ten dimensions. These solutions describe spacetimes which are either
locally asymptotically adS or locally asymptotically flat, and which have
non-trivial topology. We discuss the global structure of these solutions, and
their relevance within the context of M-theory.Comment: 11 pages, LaTex(v4: Comments and references added
Some solutions of linearized 5-d gravity with brane
We consider linearized 5-d gravity in the Randall-Sundrum brane world. The
class of static solutions for linearized Einstein equations is found. Also we
obtaine wave solutions describing radiation from an imaginary point source
located at the Planck distance from the brane. We analyze the fields asymptotic
behavior and peculiarities of matter sources.Comment: Latex, 8 page
Black Hole Production at LHC: String Balls and Black Holes from pp and Lead-lead Collisions
If the fundamental planck scale is near a TeV, then parton collisions with
high enough center-of-mass energy should produce black holes. The production
rate for such black holes at LHC has been extensively studied for the case of a
proton-proton collision. In this paper, we extend this analysis to a lead-lead
collision at LHC. We find that the cross section for small black holes which
may in principle be produced in such a collision is either enhanced or
suppressed, depending upon the black hole mass. For example, for black holes
with a mass around 3 TeV we find that the differential black hole production
cross section, d\sigma/dM, in a typical lead-lead collision is up to 90 times
larger than that for black holes produced in a typical proton-proton collision.
We also discuss the cross-sections for `string ball' production in these
collisions. For string balls of mass about 1 (2) TeV, we find that the
differential production cross section in a typical lead-lead collision may be
enhanced by a factor up to 3300 (850) times that of a proton-proton collision
at LHC.Comment: Added some discussion, final version to appear in Phys. Rev. D (rapid
communications
Black Diamonds at Brane Junctions
We discuss the properties of black holes in brane-world scenarios where our
universe is viewed as a four-dimensional sub-manifold of some
higher-dimensional spacetime. We consider in detail such a model where
four-dimensional spacetime lies at the junction of several domain walls in a
higher dimensional anti-de Sitter spacetime. In this model there may be any
number p of infinitely large extra dimensions transverse to the brane-world. We
present an exact solution describing a black p-brane which will induce on the
brane-world the Schwarzschild solution. This exact solution is unstable to the
Gregory-Laflamme instability, whereby long-wavelength perturbations cause the
extended horizon to fragment. We therefore argue that at late times a
non-rotating uncharged black hole in the brane-world is described by a deformed
event horizon in p+4 dimensions which will induce, to good approximation, the
Schwarzschild solution in the four-dimensional brane world. When p=2, this
deformed horizon resembles a black diamond and more generally for p>2, a
polyhedron.Comment: 13 pages, 1 figure, latex, JHEP.cl
Surface counterterms and boundary stress-energy tensors for asymptotically non-anti-de Sitter spaces
For spaces which are not asymptotically anti-de Sitter where the asymptotic
behavior is deformed by replacing the cosmological constant by a dilaton scalar
potential, we show that it is possible to have well-defined boundary
stress-energy tensors and finite Euclidean actions by adding appropriate
surface counterterms. We illustrate the method by the examples of domain-wall
black holes in gauged supergravities, three-dimensional dilaton black holes and
topological dilaton black holes in four dimensions. We calculate the boundary
stress-energy tensor and Euclidean action of these black configurations and
discuss their thermodynamics. We find new features of topological black hole
thermodynamics.Comment: 27 pages, Late
Recovery of the Schwarzschild Metric in Theories with Localized Gravity Beyond Linear Order
We solve the Einstein equations in the Randall-Sundrum framework with a
static, spherically symmetric matter distribution on the {\it physical brane}
and obtain an approximate expression for the gravitational field outside the
source to second order in the gravitational coupling. This expression when
confined on the {\it physical brane} coincides with the standard form of the
Schwarzschild metric. Therefore, the Randall-Sundrum scenario is consistent
with the Mercury precession test of General Relativity.Comment: 17 pages, plain Tex, references added, typos correcte
Black holes and black branes in Lifshitz spacetimes
We construct analytic solutions describing black holes and black branes in
asymptotically Lifshitz spacetimes with arbitrary dynamical exponent z and for
arbitrary number of dimensions. The model considered consists of Einstein
gravity with negative cosmological constant, a scalar, and N U(1) gauge fields
with dilatonic-like couplings. We study the phase diagrams and thermodynamic
instabilities of the solution, and find qualitative differences between the
cases with 12.Comment: 27 pages, 10 figures; v2 references added, minor comments adde
Electromagnetic sources distributed on shells in a Schwarzschild background
In the Introduction we briefly recall our previous results on stationary
electromagnetic fields on black-hole backgrounds and the use of spin-weighted
spherical harmonics. We then discuss static electric and magnetic test fields
in a Schwarzschild background using some of these results. As sources we do not
consider point charges or current loops like in previous works, rather, we
analyze spherical shells with smooth electric or magnetic charge distributions
as well as electric or magnetic dipole distributions depending on both angular
coordinates. Particular attention is paid to the discontinuities of the field,
of the 4-potential, and their relation to the source.Comment: dedicated to Professor Goldberg's 86th birthday, accepted for
publication in Gen. Relat. Gravit., 12 page
Charged and rotating AdS black holes and their CFT duals
Black hole solutions that are asymptotic to or can rotate in two different ways. If the internal sphere rotates
then one can obtain a Reissner-Nordstrom-AdS black hole. If the asymptotically
AdS space rotates then one can obtain a Kerr-AdS hole. One might expect
superradiant scattering to be possible in either of these cases. Superradiant
modes reflected off the potential barrier outside the hole would be
re-amplified at the horizon, and a classical instability would result. We point
out that the existence of a Killing vector field timelike everywhere outside
the horizon prevents this from occurring for black holes with negative action.
Such black holes are also thermodynamically stable in the grand canonical
ensemble. The CFT duals of these black holes correspond to a theory in an
Einstein universe with a chemical potential and a theory in a rotating Einstein
universe. We study these CFTs in the zero coupling limit. In the first case,
Bose-Einstein condensation occurs on the boundary at a critical value of the
chemical potential. However the supergravity calculation demonstrates that this
is not to be expected at strong coupling. In the second case, we investigate
the limit in which the angular velocity of the Einstein universe approaches the
speed of light at finite temperature. This is a new limit in which to compare
the CFT at strong and weak coupling. We find that the free CFT partition
function and supergravity action have the same type of divergence but the usual
factor of 4/3 is modified at finite temperature.Comment: 18 pages, RevTex, 2 figures; v2: references adde
Interaction of a TeV Scale Black Hole with the Quark-Gluon Plasma at LHC
If the fundamental Planck scale is near a TeV, then parton collisions with
high enough center-of-mass energy should produce black holes. The production
rate for such black holes has been extensively studied for the case of a
proton-proton collision at \sqrt s = 14 TeV and for a lead-lead collision at
\sqrt s = 5.5 TeV at LHC. As the parton energy density is much higher at
lead-lead collisions than in pp collisions at LHC, one natural question is
whether the produced black holes will be able to absorb the partons formed in
the lead-lead collisions and eventually `eat' the quark-gluon plasma formed at
LHC. In this paper, we make a quantitative analysis of this possibility and
find that since the energy density of partons formed in lead-lead collisions at
LHC is about 500 GeV/fm^3, the rate of absorption for one of these black holes
is much smaller than the rate of evaporation. Hence, we argue that black holes
formed in such collisions will decay very quickly, and will not absorb very
many nearby partons. More precisely, we show that for the black hole mass to
increase via parton absorption at the LHC the typical energy density of quarks
and gluons should be of the order of 10^{10} GeV/fm^3. As LHC will not be able
to produce such a high energy density partonic system, the black hole will not
be able to absorb a sufficient number of nearby partons before it decays. The
typical life time of the black hole formed at LHC is found to be a small
fraction of a fm/c.Comment: 7 pages latex (double column), 3 eps figure
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