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    Properties of pseudo-Newtonian gravitational potential in Schwarzschild-de Sitter spacetimes

    Zdeněk Stuchlík · 01 prosince, 2007 · Fyzika · 0 comments
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    Publication date: Dec 2007

    Abstract:
    We introduce the gravitational potential for the pseudo-Newtonian
    description of the gravitational field around static and spherically
    symmetric black holes in the universe with the repulsive cosmological
    constant, described in terms of the general relativistic approach by the
    Schwarzschild-de Sitter geometry. In order to demonstrate the accuracy
    of the pseudo-Newtonian approach and its possible applications, we
    construct the effective potential for a test particle motion and compare
    its behaviour with its general relativistic counterpart. Our results
    indicate that the pseudo-Newtonian potential could be useful in
    applications of developed Newtonian theories of accretion disks in
    astrophysically interesting situations in large galactic structures for
    spacetimes with the cosmological parameter y = Λ M^2 / 3 ≤
    10^{-6}.

    Authors:
    Stuchlík, Zdeněk; Kovář, Jiří;

    http://adsabs.harvard.edu/abs/2007ragt.meet..417S

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