Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-09-25
JHEP 0912:024,2009
Physics
High Energy Physics
High Energy Physics - Theory
35 pages, 4 figures. V2: Minor corrections and discussion added, published version
Scientific paper
10.1088/1126-6708/2009/12/024
We show how Newtonian gravity emerges on 4-dimensional non-commutative spacetime branes in Yang-Mills matrix models. Large matter clusters such as galaxies are embedded in large-scale harmonic deformations of the space-time brane, which screen gravity for long distances. On shorter scales, the local matter distribution reproduces Newtonian gravity via local deformations of the brane and its metric. The harmonic ``gravity bag'' acts as a halo with effective positive energy density. This leads in particular to a significant enhancement of the orbital velocities around galaxies at large distances compared with the Newtonian case, before dropping to zero as the geometry merges with a Milne-like cosmology. Besides these ``harmonic'' solutions, there is another class of solutions which is more similar to Einstein gravity. Thus the IKKT model provides an accessible candidate for a quantum theory of gravity.
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