The random-motion theorem in a local cosmology with dark energy

Details The random-motion theorem in a local cosmology with dark energy The random-motion theorem in a local cosmology with dark energy

Mar 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010arep...54..185c&link_type=abstract

Astronomy Reports, Volume 54, Issue 3, pp.185-191

Astronomy and Astrophysics

Astronomy

2

Scientific paper

It is shown that the random-motion theorem in cosmology proven in the early 1960s can be generalized to take into account the presence of a uniform dark-energy background. The role of the dark energy is substantial: its repulsive force exceeds the gravitational force due to darkmatter and baryons, both on the scale of the Universe as a whole and on local scales of about 1 Mpc. The generalized random-motion theorem has the form of a differential equation relating the kinetic energy of the random motion and the potential energy of the particles due to their own gravitational field and the repulsive dark-energy field. One consequence of the generalized theorem is a virial relation containing the potential energy in the repulsive field.

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