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Astron. Astrophys. 329, 1-13 (1998)

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The cross correlation between the gravitational potential
and the large scale matter distribution

Soren Madsen 1, Andrei G. Doroshkevich 2, Stefan Gottlöber 3 and Volker Müller 3

1 Copenhagen University, Astronomical Observatory, Juliane Maries Vej 30, DK-2100 Copenhagen O, Denmark
2 Theoretical Astrophysics Center, Juliane Maries Vej 30, DK-2100 Copenhagen O, Denmark
3 Astrophysikalisches Institut Potsdam, An der Sternwarte 16, D-14482 Potsdam, Germany

Received 11 November 1996 / Accepted 17 July 1997


The large scale gravitational potential distribution and its influence on the large-scale matter clustering is considered on the basis of six simulations. It is found that the mean separation between zero levels of the potential along random straight lines coincides with the theoretical expectations, but it scatters largely. A strong link of the initial potential and the structure evolution is shown. It is found that the under-dense and over-dense regions correlate with regions of positive and negative gravitational potential at large redshifts. The over-dense regions arise due to a slow matter flow into the negative potential regions, where more pronounced non-linear structures appear. Such regions are related to the formation of huge super-large scale structures seen in the galaxy distribution.

Key words: cosmology – large scale structure – structure formation


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© European Southern Observatory (ESO) 1998

Online publication: November 24, 1997