The Einstein-Friedrich-nonlinear scalar field system and the stability\n of scalar field Cosmologies

2010/06/18 by Artur Alho, Alho, Artur, Filipe C. Mena +3
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1006.3778

openalex publication_date 2010/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A frame representation is used to derive a first order quasi-linear symmetric\nhyperbolic system for a scalar field minimally coupled to gravity. This\nprocedure is inspired by similar evolution equations introduced by Friedrich to\nstudy the Einstein-Euler system. The resulting evolution system is used to show\nthat small nonlinear perturbations of expanding\nFriedman-Lema ⁱtre-Robertson-Walker backgrounds, with scalar field potentials\nsatisfying certain future asymptotic conditions, decay exponentially to zero,\nin synchronous time.\n

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