Second Order Noncommutative Corrections to Gravity

TL;DR

This paper computes second order noncommutative corrections to general relativity, revealing modifications in the pure gravitational sector that could influence our understanding of quantum gravity effects.

Contribution

It introduces the calculation of second order noncommutative corrections to gravity, extending previous work limited to first order or matter interactions.

Findings

Second order corrections modify the pure gravitational action.

First order corrections are restricted to gravity-matter interactions.

Implications for quantum gravity are briefly discussed.

Abstract

In this work, we calculate the leading order corrections to general relativity formulated on a canonical noncommutative spacetime. These corrections appear in the second order of the expansion in theta. First order corrections can only appear in the gravity-matter interactions. Some implications are briefly discussed.