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arXiv · 2209.09462

Geometrical Trinity of Unimodular Gravity

Yu Nakayama
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Abstract

We construct a Weyl transverse diffeomorphism invariant theory of teleparallel gravity by employing the Weyl compensator formalism. The low-energy dynamics has a single spin two gravition without a scalar degree of freedom. By construction, it is equivalent to unimodular gravity (as well as Einstein's general relativity with an adjustable cosmological constant) at the non-linear level. Combined with our earlier construction of a Weyl transverse diffeomorphism invariant theory of symmetric teleparallel gravity, unimodular gravity is represented in three alternative ways.

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Yu Nakayama. 2022-09-20. Geometrical Trinity of Unimodular Gravity. https://doi.org/10.1088/1361-6382%2Facd100

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