3 research outputs found
The Crab Nebula: interpretation of CHANDRA observations
We interpret the observed X-ray morphology of the central part of the Crab
Nebula (torus + jets) in terms of the standard theory by Kennel and Coroniti
(1984). The only new element is the inclusion of anisotropy in the energy flux
from the pulsar in the theory. In the standard theory of relativistic winds,
the Lorentz factor of the particles in front of the shock that terminates the
pulsar relativistic wind depends on the polar angle as
, where and . The plasma flow in the wind is isotropic. After the
passage of the pulsar wind through the shock, the flow becomes subsonic with a
roughly constant (over the plerion volume) pressure ,
where is the plasma particle density and is the mean particle
energy. Since , a low-density region filled with the
most energetic electrons is formed near the equator. A bright torus of
synchrotron radiation develops here. Jet-like regions are formed along the
pulsar rotation axis, where the particle density is almost four orders of
magnitude higher than that in the equatorial plane, because the particle energy
there is four orders of magnitude lower. The energy of these particles is too
low to produce detectable synchrotron radiation. However, these quasi-jets
become comparable in brightness to the torus if additional particle
acceleration takes place in the plerion. We also present the results of our
study of the hydrodynamic interaction between an anisotropic wind and the
interstellar medium. We compare the calculated and observed distributions of
the volume intensity of X-ray radiation.Comment: 38 pages, 5 figures. To be published in Astronomy Letters, 2002, N 6,
p.
Geodesic motions versus hydrodynamic flows in a gravitating perfect fluid: Dynamical equivalence and consequences
Stimulated by the methods applied for the observational determination of
masses in the central regions of the AGNs, we examine the conditions under
which, in the interior of a gravitating perfect fluid source, the geodesic
motions and the general relativistic hydrodynamic flows are dynamically
equivalent to each other. Dynamical equivalence rests on the functional
similarity between the corresponding (covariantly expressed) differential
equations of motion and is obtained by conformal transformations. In this case,
the spaces of the solutions of these two kinds of motion are isomorphic. In
other words, given a solution to the problem "hydrodynamic flow in a perfect
fluid", one can always construct a solution formally equivalent to the problem
"geodesic motion of a fluid element" and vice versa. Accordingly, we show that,
the observationally determined nuclear mass of the AGNs is being overestimated
with respect to the real, physical one. We evaluate the corresponding
mass-excess and show that it is not always negligible with respect to the mass
ofthe central dark object, while, under circumstances, can be even larger than
the rest-mass of the circumnuclear gas involved.Comment: LaTeX file, 22 page