Work

Gauging the scale invariance of Einstein equations: Weyl-invariant equations for gravity

Year: 2025

Type: article

Abstract: We derive a Weyl-invariant equation for gravity by gauging the global Weyl invariance of vacuum Einstein equations. The equation is linear in the curvature and a natural generalization of Einstein equations to Weyl geometry. The system has five physical polarizations, two tensor modes, two vectors modes, and one scalar, associated to the cosmological constant. An exact black hole solution is found. We study the dynamics on Friedman backgrounds and the evolution of cosmological perturbations. It is shown that cosmological vector modes do not decay in this model.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.111.044050

Author: Máximo Bañados

Institution: Pontificia Universidad Católica de Chile

Language: English

Topic: Cosmology and Gravitation Theories

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Fondo Nacional de Desarrollo Científico y Tecnológico

Award: G3370584266