On Non-commutative Corrections of Gravitational Energy in Teleparallel Gravity

TL;DR

This paper investigates how non-commutative space-time modifies gravitational energy in teleparallel gravity, providing quantum-level corrections to classical solutions like Schwarzschild.

Contribution

It introduces non-commutative corrections to the Schwarzschild solution and derives their impact on gravitational energy within teleparallel gravity, linking quantum effects to gravitational phenomena.

Findings

Derived non-commutative corrections to Schwarzschild metric

Calculated resulting modifications to gravitational energy

Interpreted corrections as quantum manifestations in gravity

Abstract

In this work we use the theory of Teleparallelism Equivalent to General Relativity based in non-commutative space-time coordinates. In this context, we write the corrections of the Schwarzschild solution. As a important result, we find the corrections of the gravitational energy in the realm of teleparallel gravity due to the non-commutativity of space-time. Then we interpret such corrections as a manifestation of quantum theory in gravitational field.