Big Bang dynamics: a center manifold of the Taub points unfolding

• Grant number: 20/07646-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2020
• End date: August 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Phillipo Lappicy Lemos Gomes
• Grantee: Giuliano Pantarotto Semente
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

We seek to understand the center manifold of certain fixed points (the unfolding of the Taub points) of a Bianchi model, which is an ODE that models the Big Bang within the Horava-Lifschitz gravitational theory, a perturbation of the theory of Einstein.