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arXiv · 1601.06397

Linear stability of noncommutative spectral geometry

Mairi Sakellariadou·Apimook Watcharangkool
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Abstract

We consider the spectral action within the context of a 4-dimensional manifold with torsion and show that, in the vacuum case, the equations of motion reduce to Einstein's equations, securing the linear stability of the theory. To subsequently investigate the nonvacuum case, we consider the spectral action of an almost commutative torsion geometry and show that the Hamiltonian is bounded from below, a result which guarantees the linear stability of the theory.

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Mairi Sakellariadou, Apimook Watcharangkool. 2016-01-24. Linear stability of noncommutative spectral geometry. https://doi.org/10.1103/physrevd.93.064034

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