Bouncing cosmologies
(cosmologies Matter Bounce Scenario: desenvolupament i validació)
(TFG per Matemàtiques, TFM en Matemàtiques).
Director: Jaume Haro.
Codirector: Jaume Amorós.
Description:
Inflation is a widely accepted implementation of the Big Bang, solving the problems of flatness of the Universe and isotropy of the CMB radiation.
Inflation requires expansion of the Universe at superluminal velocity. Researchers look for alternative models that avoid this expansion, such as Matter Bounce Scenarios (MBS), where the Big Bang is replaced by a Big Bounce: the Universe first contracts and then expands.
The project consists in matching MBS models with the latest cosmological observations. It requires analytical and numerical computation (model fitting).
Requirements:
The work will use Calculus and basic Riemannian Geometry to derive candidate laws as dynamical systems, and integrate them numerically with Matlab.
Previous knowledge of Physics is not required, but will help.
Bibliography:
- J. de Haro, J. Amorós. Non-singular models of universes in teleparallel theories. Physical Review Letters 110, 071104 (2013).
- Kurki-Suonio. Cosmology I & II, U. of Helsinki notes, 2005.
- Ashtekar, Singh - Loop Quantum Cosmology. A status report. arxiv gr-qc 1108.0893v2
http://www.ma1.upc.edu/~amoros
2015/11/2.