4,153 research outputs found
A Weyl-covariant tensor calculus
On a (pseudo-) Riemannian manifold of dimension n > 2, the space of tensors
which transform covariantly under Weyl rescalings of the metric is built. This
construction is related to a Weyl-covariant operator D whose commutator [D,D]
gives the conformally invariant Weyl tensor plus the Cotton tensor. So-called
generalized connections and their transformation laws under diffeomorphisms and
Weyl rescalings are also derived. These results are obtained by application of
BRST techniques.Comment: LaTeX, 10 pages. Minor corrections and a reference adde
Photoelectric effect on dust grains across the L1721 cloud in the rho Ophiuchi molecular complex
We present ISO-LWS measurements of the main gas cooling lines, C+ 158 mum and
O 63 mum towards a moderate opacity molecular cloud (Av=3), L1721, illuminated
by the B2 star nu Sco (X = 5-10). These data are combined with an extinction
map and IRAS dust emission images to test our understanding of gas heating and
cooling in photo-dissociation regions (PDRs). This nearby PDR is spatially
resolved in the IRAS images; variations in the IRAS colors across the cloud
indicate an enhanced abundance of small dust grains within the PDR. A spatial
correlation between the gas cooling lines and the infrared emission from small
dust grains illustrates the dominant role of small dust grains in the gas
heating through the photoelectric effect. The photoelectric efficiency,
determined from the observations by ratioing the power radiated by gas and
small dust grains, is in the range 2 to 3% in close agreement with recent
theoretical estimates. The brightness profiles across the PDR in the C+ 158 mum
and O 63 mum lines are compared with model calculations where the density
profile is constrained by the extinction data and where the gas chemical and
thermal balances are solved at each position. We show that abundance variations
of small dust grains across the PDR must be considered to account for the LWS
observations.Comment: 10 pages, 15 figure
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