The random-motion theorem in a local cosmology with dark energy |
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Authors: | A D Chernin VP Dolgachev LM Domozhilova P Teerikorpi M Yu Valtonen |
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Institution: | (1) CERCA, Department of Physics, Case Western Reserve University, 10900 Euclid Ave, Cleveland, OH 44106-7079, USA |
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Abstract: | 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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