Gravitational collapse of pressureless inhomogeneous spheroids

Astronomy and Astrophysics – Astronomy

Scientific paper

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Computerized Simulation, Cosmic Dust, Gravitational Collapse, Plasma Clouds, Spheroids, Vacuum Effects, Cosmology, Digital Simulation, Gravitational Waves, Inhomogeneity, Low Pressure, Pressure Effects, Supernovae

Scientific paper

The degree to which the calculation of Lin, Mestel and Shu (1965) is a true guide to the way in which inhomogeneous clouds of pressure-free material collapse is discussed. Analytical arguments suggest that clouds of dust that are initially strongly concentrated will not collapse to the pancake configuration that Lin, Mestel and Shu showed to be the endpoint of the collapse of a homogeneous cloud. Numerical simulations of the collapse of nonrotating axisymmetric clouds of dust confirm that the velocity field in a collapsing cloud depends sensitively on whether or not the cloud was initially exactly homogeneous. Inhomogeneous clouds may flatten markedly early in the collapse, but their velocity fields suggest that pancake shocks do not form in these clouds either at the same stage, or in the same way, as in the homogeneous case. These results call into question important aspects of the cosmology of Zel'dovich and his collaborators. They also have implications for a mechanism by which it has been suggested that supernovae might generate gravitational radiation.

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