Classical Solutions of a Torsion Gravity from a Large N Matrix Model

Details Classical Solutions of a Torsion Gravity from a Large N Matrix Model Classical Solutions of a Torsion Gravity from a Large N Matrix Model

2009-11-10

arxiv.org/abs/0911.1769v3

Phys.Rev.D.81,084049 (2010)

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 5 figures. v2: one reference and a comment added in section 5, typos corrected. v3: a minor change of the title, exp

Scientific paper

Large N matrices can describe covariant derivatives in curved space. Applying this interpretation to the IKKT matrix model, the field equation of gravity is derived from the matrix equation of motion. We study classical solutions of this field equation with torsion degrees of freedom in empty spacetime. Time dependent solutions with homogeneity and isotropy, and time independent solutions with spherical symmetry are investigated under particular settings of torsions.

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