Weyl transverse gravity (WTDiff) and the cosmological constant

Abstract

Scale invariant (transverse) gravitational theories are introduced. They are invariant under pure metric rescalings (i.e. the matter fields are inert under those). This symmetry forbids the presence of a cosmological constant. Those theories are not invariant under the full set of diffeomorphisms, but only with respect to those locally characterized by the fact that their generator is transverse $\pd_\a ξ^\a=0$.

11 pages

References in corpus (5)

• Scale invariance, unimodular gravity and dark energy
• Transverse Fierz-Pauli symmetry
• Algebraic Classification of Weyl Anomalies in Arbitrary Dimensions
• Unimodular cosmology and the weight of energy
• A comment on the matter-graviton coupling

Cited by in corpus (1)

• Stress-Energy Connection and Cosmological Constant Problem