Four-Dimensional Gravity on a Covariant Noncommutative Space (II)

Abstract

Based on the construction of the 4-dim noncommutative gravity model described in our previous work, first, a more extended description of the covariant noncommutative space (fuzzy 4-dim de Sitter space), which accommodates the gravity model, is presented and then the corresponding field equations, which are obtained after variation of the previously proposed action, are extracted. Also, a spontaneous breaking of the initial symmetry is performed, this time induced by the introduction of an auxiliary scalar field, and its implications in the reduced theory, which is produced after considering the commutative limit, are examined.

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• On the Ghost Problem of Conformal Gravity
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• Unification of Gravity and Internal Interactions
• Intertwining noncommutativity with gravity and particle physics
• Unification of Conformal and Fuzzy Gravities with Internal Interactions resulting in SO(10) and a Possible Probe through Stochastic Gravitational Wave Background
• Unification of Gravities with GUTs