On the Newtonian limit of emergent NC gravity and long-distance corrections

Autor(en)

Harold Steinacker

Abstrakt

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.

Organisation(en)

Mathematische Physik

Journal

Journal of High Energy Physics

Band

2009

Anzahl der Seiten

33

ISSN

1029-8479

DOI

https://doi.org/10.1088/1126-6708/2009/12/024

Publikationsdatum

2009

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik, 103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/c94a3fb1-98a3-4617-bf67-73354d8d7d51