Chaos of the Big Bang: circle maps and an iterated function system

• Grant number: 20/07532-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2020
• End date: July 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Phillipo Lappicy Lemos Gomes
• Grantee: Victor Hugo de Souza Daniel
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

We will seek understand how chaos arises in an iterated function system (IFS), where each map is an expansion of the circle - which is known to be chaotic. In particular, we consider an IFS that models the chaotic dynamics towards a generic spacelike singularity (such as the Big Bang) within the gravitation theory of Horava-Lifschitz, which is a perturbation of the Einstein theory of general relativity.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

LAPPICY, PHILLIPO; DANIEL, VICTOR HUGO. Chaos in spatially homogeneous Horava-Lifshitz subcritical cosmologies. Classical and Quantum Gravity, v. 39, n. 13, p. 18-pg., 2022-07-07. (18/18703-1, 20/07532-1, 17/07882-0)