The Geomety of Cotton Gravity

49 Pages Posted: 22 May 2025

See all articles by Giulio Colombo

Giulio Colombo

Università degli Studi di Milano

FILIPPO MASTROPIETRO

Università degli Studi di Milano

Marco Rigoli

Università degli Studi di Milano

Abstract

We analyze the geometry of the field equations of Cotton gravity (for a quite generalenergy-momentum tensor) on a generalized Robertson-Walker space-time. In particular, wedescribe the local structure of the spatial Riemannian factor.

Keywords: Cotton tensor· Static space-times · Harmonic maps · General Relativity

Suggested Citation

Colombo, Giulio and MASTROPIETRO, FILIPPO and Rigoli, Marco, The Geomety of Cotton Gravity. Available at SSRN: https://ssrn.com/abstract=5264253 or http://dx.doi.org/10.2139/ssrn.5264253

Giulio Colombo

Università degli Studi di Milano ( email )

Italy

FILIPPO MASTROPIETRO (Contact Author)

Università degli Studi di Milano ( email )

Italy

Marco Rigoli

Università degli Studi di Milano ( email )

Italy

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