Table of Contents
Journal of Gravity
Volume 2013, Article ID 217813, 7 pages
Research Article

On Noncommutative Corrections of Gravitational Energy in Teleparallel Gravity

1Instituto de Física, Universidade de Brasília, 70910-900 Brasília, DF, Brazil
2Faculdade Gama, Universidade de Brasília, Setor Leste (Gama), 72444-240 Brasília, DF, Brazil

Received 27 February 2013; Accepted 26 May 2013

Academic Editor: Shinji Tsujikawa

Copyright © 2013 S. C. Ulhoa and R. G. G. Amorim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We use the theory of teleparallelism equivalent to general relativity based on noncommutative spacetime coordinates. In this context, we write the corrections of the Schwarzschild solution. We propose the existence of a Weitzenböck spacetime that matches the corrected metric tensor. As an important result, we find the corrections of the gravitational energy in the realm of teleparallel gravity due to the noncommutativity of spacetime. Then we interpret such corrections as a manifestation of quantum theory in gravitational field.