Geometrical Trinity of Unimodular Gravity

Yu Nakayama

Geometrical Trinity of Unimodular Gravity

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arxiv 2209.09462 v1 pith:SHBVWFJX submitted 2022-09-20 gr-qc hep-th

Yu Nakayama This is my paper · ORCID

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keywords gravityunimodularweylconstructiondiffeomorphisminvariantteleparalleltheory

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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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Traversable Wormhole Solutions in massive $F(T)$ gravity
gr-qc 2025-08 unverdicted novelty 4.0 of 10

In massive F(T) gravity, exact traversable wormhole solutions exist whose throats are supported by the graviton mass term, with matter that satisfies standard energy conditions in selected parameter ranges.

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