1111.4891 (Patryk Mach)
Patryk Mach
A continuum version of the virial theorem is derived for a radiating
selfgravitating accretion disc around a compact object. The central object is
point-like, but we can avoid the regularisation of its gravitational potential.
This is achieved by applying a modified Pohozaev-Rellich identity to the
gravitational potential of the disk only. The theorem holds for general
stationary configurations, including discontinuous flows (shock waves, contact
discontinuities). It is used to test numerical solutions of a model of
selfgravitating radiative accretion discs.
View original:
http://arxiv.org/abs/1111.4891
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