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

Hiroshi Isono; Dan Tomino

doi:10.1103/physrevd.81.084049

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arXiv · 0911.1769

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

Hiroshi Isono·Dan Tomino

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Abstract

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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Hiroshi Isono, Dan Tomino. 2009-11-10. Classical Solutions of a Torsion Gravity from a Large N Matrix Model. https://doi.org/10.1103/physrevd.81.084049

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