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Brans-Dicke unimodular gravity

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arxiv 2207.13195 v1 pith:TLUR2UCD submitted 2022-07-26 gr-qc astro-ph.COhep-th

Brans-Dicke unimodular gravity

Alexandre M.R. Almeida , J\'ulio C. Fabris , Mahamadou Hamani Daouda , Richard Kerner , Hermano Velten , Wiliam S. Hip\'olito-Ricaldi This is my paper
classification gr-qc astro-ph.COhep-th
keywords brans-dicketheoryconfigurationscosmologicalmodessolutionsstableunimodular
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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