A comment on the matter-graviton coupling
Enrique Alvarez, Anton F. Faedo
TL;DR
This paper examines the inconsistencies in matter-gravity coupling within unimodular gravity frameworks, analyzing the most general invariant Lagrangian and observational constraints on parameters.
Contribution
It identifies a generic inconsistency in TDiff-invariant gravity-matter coupling and characterizes the most general TDiff-invariant Lagrangian up to dimension five.
Findings
Inconsistency in TDiff coupling with matter
Characterization of general TDiff-invariant Lagrangian
Constraints on parameters from observations
Abstract
We point out a generic inconsistency of the coupling of ordinary gravity as described by general relativity with matter invariant under the subgroup of unimodular diffeomorphisms (TDiffs), and some previously studied exceptions are pointed out. The most general Lagrangian invariant under TDiff up to dimension five operators is determined, and restrictions on parameters coming from existing observations are studied in some cases.
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