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arxiv: 0907.2871 · v1 · pith:ULTWS7U5new · submitted 2009-07-16 · 🌀 gr-qc

Gravity as a Gauge Theory of Translations

classification 🌀 gr-qc
keywords grouptheorygaugegravityisometriesspacetranslationscase
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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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