Brans-Dicke unimodular gravity
General Relativity and Quantum Cosmology
2022-07-28 v1 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
We propose a unimodular version of the Brans-Dicke theory designed with a constrained Lagrangian formulation. The resulting field equations are traceless. The vacuum solutions in the cosmological background reproduce the corresponding solutions of the usual Brans-Dicke theory but with a cosmological constant term. A perturbative analysis of the scalar modes is performed and stable and unstable configurations appear in contrast with the Brans-Dicke case for which only stable configurations occur. On the other hand, tensorial modes in this theory remains the same as in the traditional Brans-Dicke theory.
Cite
@article{arxiv.2207.13195,
title = {Brans-Dicke unimodular gravity},
author = {Alexandre M. R. Almeida and Júlio C. Fabris and Mahamadou Hamani Daouda and Richard Kerner and Hermano Velten and Wiliam S. Hipólito-Ricaldi},
journal= {arXiv preprint arXiv:2207.13195},
year = {2022}
}
Comments
Latex file, 12 pages