منابع مشابه
Two - integral Schwarzschild models
We describe a practical method for constructing axisymmetric two-integral galaxy models (with distribution functions of the form f (E, L z), in which E is the or-bital energy, and L z is the vertical component of the angular momentum), based on Schwarzschild's orbit superposition method. Other f (E, L z)-methods are mostly based on solving the Jeans equations or on finding the distribution func...
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A striking characteristic of non-Schwarzschild vacuum exteriors is that they contain not only the total gravi-tational mass of the source, but also an arbitrary constant. In this work, we show that the constants appearing in the " temporal Schwarzschild " , " spatial Schwarzschild " and " Reissner-Nordström-like " exteriors are not arbitrary but are completely determined by star's parameters, l...
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that g* has the same derived algebra as g itself and that every ideal in g is also an ideal in t*. Let g be any algebraic Lie algebra. Denote by b the radical of g (i.e., the largest solvable ideal in g) and by n the largest ideal of g composed only of nilpotent matrices. By Levi's theorem, g is the direct sum of t and of a semi-simple subalgebra J. It can be proved that f is the direct sum of ...
متن کاملTwo integral representations
Proved here are two integral representation theorems related to complex variables. They illustrate one way in which Choquet's Theorem and its relatives can be used. Other examples, analyzed in a similar way, can be found in [i0], [4], [2]. Both of the theorems proved here were originally proved by other methods, but here I have proved them by analyzing the extremal structure of an appropriate c...
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Tremendous progress has been made recently in modelling the morphology and kinematics of centers of galaxies. Increasingly realistic models are built for central bar, bulge, nucleus and black hole of galaxies, including our own. The newly revived Schwarzschild method has played a central role in these theoretical modellings. Here I will highlight some recent work at Leiden on extending the Schw...
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ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 2002
ISSN: 0035-8711,1365-2966
DOI: 10.1046/j.1365-8711.2002.05244.x