PIRSA:17050054 Conference Quantum Gravity

DOI10.48660/17050054

Conference/School: Shape Dynamics Workshop

Uggla, C. (2017). Dynamical systems approaches and methods in cosmology. Perimeter Institute. https://pirsa.org/17050054

Uggla, Claes. Dynamical systems approaches and methods in cosmology. Perimeter Institute, May. 17, 2017, https://pirsa.org/17050054 

@misc{ pirsa_PIRSA:17050054,
  doi = {10.48660/17050054},
  url = {https://pirsa.org/17050054},
  author = {Uggla, Claes},
  keywords = {Quantum Gravity},
  language = {en},
  title = {Dynamical systems approaches and methods in cosmology},
  publisher = {Perimeter Institute},
  year = {2017},
  month = {may},
  note = {PIRSA:17050054 see, \url{https://pirsa.org}}
}

Abstract

I will with simple examples from spatially homogeneous and isotropic cosmology illustrate the importance of respecting the global features of a state space for a given model when reformulating field equations to useful dynamical systems. In particular I will use examples from f(R) gravity and GR with a minimally coupled scalar field. In this context I will also illustrate how various dynamical systems methods, such as, e.g., monotonic functions, center manifold techniques, averaging methods, can yield a global understanding of the solution spaces as well as approximations, complementing, e.g., the slow-roll approximation.

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