Gravity as a Gauge Theory of Translations

Details Gravity as a Gauge Theory of Translations Gravity as a Gauge Theory of Translations

2009-07-16

arxiv.org/abs/0907.2871v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages. LaTeX 2e

Scientific paper

The Poincar\'e group can be interpreted as the group of isometries of a minkowskian space. This point of view suggests to consider the group of isometries of a given space as the suitable group to construct a gauge theory of gravity. We extend these ideas to the case of maximally symmetric spaces to reach a realistic theory including the presence of a cosmological constant. Introducing the concept of "minimal tetrads" we deduce Einstein gravity in the vacuum as a gauge theory of translations.

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