On dimension of tetrads in effective gravity

Abstract

Two different sources of emergent gravity lead to the inverse square of length dimension of metric field, $[g_{\mu \nu }]=1/[l{]}^2$, as distinct from the conventional dimensionless metric, $[g_{\mu \nu }]=1$, for $c=1$. In both scenarios all the physical quantities, which obey diffeomorphism invariance, such as the Newton constant, the scalar curvature, the cosmological constant, particle masses, fermionic and scalar bosonic fields, etc., are dimensionless.

3 pages, no figures, version accepted in JETP Letters

References in corpus (3)

• Dynamic vacuum variable and equilibrium approach in cosmology
• Model for a time-symmetric Milne-like universe without big bang curvature singularity
• Torsional Anomalies and Bulk-Dislocation Correspondence in Weyl Systems

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