13,010 research outputs found
New Inhomogeneous Einstein Metrics on Sphere Bundles Over Einstein-Kahler Manifolds
We construct new complete, compact, inhomogeneous Einstein metrics on S^{m+2}
sphere bundles over 2n-dimensional Einstein-Kahler spaces K_{2n}, for all n \ge
1 and all m \ge 1. We also obtain complete, compact, inhomogeneous Einstein
metrics on warped products of S^m with S^2 bundles over K_{2n}, for m>1.
Additionally, we construct new complete, non-compact Ricci-flat metrics with
topologies S^m times R^2 bundles over K_{2n} that generalise the
higher-dimensional Taub-BOLT metrics, and with topologies S^m \times R^{2n+2}
that generalise the higher-dimensional Taub-NUT metrics, again for m>1.Comment: Latex, 14 pages. Errors and typos corrected, and related references
adde
On arithmetic detection of grey pulses with application to Hawking radiation
Micron-sized black holes do not necessarily have a constant horizon
temperature distribution. The black hole remote-sensing problem means to find
out the `surface' temperature distribution of a small black hole from the
spectral measurement of its (Hawking) grey pulse. This problem has been
previously considered by Rosu, who used Chen's modified Moebius inverse
transform. Here, we hint on a Ramanujan generalization of Chen's modified
Moebius inverse transform that may be considered as a special wavelet
processing of the remote-sensed grey signal coming from a black hole or any
other distant grey sourceComment: 5 pages, published versio
The Anisotropy in the Cosmic Microwave Background At Degree Angular Scales
We detect anisotropy in the cosmic microwave background (CMB) at degree
angular scales and confirm a previous detection reported by Wollack et al.
(1993). The root-mean-squared amplitude of the fluctuations is K. This may be expressed as the square root of the angular power spectrum
in a band of multipoles between . We find K. The measured spectral
index of the fluctuations is consistent with zero, the value expected for the
CMB. The spectral index corresponding to Galactic free-free emission, the most
likely foreground contaminant, is rejected at approximately .
The analysis is based on three independent data sets. The first, taken in
1993, spans the 26 - 36 GHz frequency range with three frequency bands; the
second was taken with the same radiometer as the first but during an
independent observing campaign in 1994; and the third, also take in 1994, spans
the 36-46 GHz range in three bands. For each telescope position and radiometer
channel, the drifts in the instrument offset are K/day over a period
of one month. The dependence of the inferred anisotropy on the calibration and
data editing is addressed.Comment: 16 pages, 2 figures. Saskatoon 1993/1994 combined analysi
A new solid-state logarithmic radiometer
Combination of temperature-compensated logarithmic amplifiers and p-i-n photodiodes operating in zero-bias mode provides lightweight radiometer for detecting spectral intensities encompassing more than three decades over a range of at least 300 to 800 nanometers at low power levels
Rotating Black Holes in Higher Dimensions with a Cosmological Constant
We present the metric for a rotating black hole with a cosmological constant
and with arbitrary angular momenta in all higher dimensions. The metric is
given in both Kerr-Schild and Boyer-Lindquist form. In the Euclidean-signature
case, we also obtain smooth compact Einstein spaces on associated S^{D-2}
bundles over S^2, infinitely many for each odd D\ge 5. Applications to string
theory and M-theory are indicated.Comment: 8 pages, Latex. Short version, with more compact notation, of
hep-th/0404008. To appear in Phys. Rev. Let
Hawking radiation from decoherence
It is argued that the thermal nature of Hawking radiation arises solely due
to decoherence. Thereby any information-loss paradox is avoided because for
closed systems pure states remain pure. The discussion is performed for a
massless scalar field in the background of a Schwarzschild black hole, but the
arguments should hold in general. The result is also compared to and contrasted
with the situation in inflationary cosmology.Comment: 6 pages, to appear in Class. Quantum Gra
New Einstein-Sasaki Spaces in Five and Higher Dimensions
We obtain infinite classes of new Einstein-Sasaki metrics on complete and
non-singular manifolds. They arise, after Euclideanisation, from BPS limits of
the rotating Kerr-de Sitter black hole metrics. The new Einstein-Sasaki spaces
L^{p,q,r} in five dimensions have cohomogeneity 2, and U(1) x U(1) x U(1)
isometry group. They are topologically S^2 x S^3. Their AdS/CFT duals will
describe quiver theories on the four-dimensional boundary of AdS_5. We also
obtain new Einstein-Sasaki spaces of cohomogeneity n in all odd dimensions
D=2n+1 \ge 5, with U(1)^{n+1} isometry.Comment: Revtex, 4 pages, metric regularity conditions are further refine
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