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Universe 2016, 2(3), 19; doi:10.3390/universe2030019

The Teleparallel Equivalent of General Relativity and the Gravitational Centre of Mass

Instituto de Física, Universidade de Brasília, C. P. 04385, 70.919-970 Brasília DF, Brazil
Academic Editor: Lorenzo Iorio
Received: 9 June 2016 / Revised: 11 August 2016 / Accepted: 22 August 2016 / Published: 31 August 2016
View Full-Text   |   Download PDF [256 KB, uploaded 31 August 2016]

Abstract

We present a brief review of the teleparallel equivalent of general relativity and analyse the expression for the centre of mass density of the gravitational field. This expression has not been sufficiently discussed in the literature. One motivation for the present analysis is the investigation of the localization of dark energy in the three-dimensional space, induced by a cosmological constant in a simple Schwarzschild-de Sitter space-time. We also investigate the gravitational centre of mass density in a particular model of dark matter, in the space-time of a point massive particle and in an arbitrary space-time with axial symmetry. The results are plausible, and lead to the notion of gravitational centre of mass (COM) distribution function. View Full-Text
Keywords: teleparallel gravity; gravitational centre of mass moment; dark energy; teleparallel equivalent of general relativity teleparallel gravity; gravitational centre of mass moment; dark energy; teleparallel equivalent of general relativity
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. (CC BY 4.0).

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MDPI and ACS Style

Maluf, J.W. The Teleparallel Equivalent of General Relativity and the Gravitational Centre of Mass. Universe 2016, 2, 19.

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