Noncommutative Gravity and the *-Lie algebra of diffeomorphisms
Paolo Aschieri
TL;DR
This paper develops a noncommutative theory of gravity by systematically twisting classical structures and analyzing the deformed diffeomorphism Lie algebra, providing a new framework for noncommutative spacetime geometry.
Contribution
It introduces a method to construct functions and tensors on noncommutative spacetime through twisting, and explores the resulting deformed diffeomorphism algebra for gravity theories.
Findings
Construction of functions and tensors on noncommutative spacetime
Development of a noncommutative gravity framework
Analysis of the deformed diffeomorphism Lie algebra
Abstract
We construct functions and tensors on noncommutative spacetime by systematically twisting the corresponding commutative structures. The study of the deformed diffeomorphisms (and Poincare) Lie algebra allows to construct a noncomutative theory of gravity.
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