Essays about: "Bianchi Type I"

Showing result 1 - 5 of 6 essays containing the words Bianchi Type I.

  1. 1. Models of the Universe : An analysis of the asymptotic behaviour of non-linear dynamical systems

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Noa Vikman; Gustav Romare; [2021]
    Keywords : ;

    Abstract : In this thesis we present some relevant theory, and then we rigorously investigate the existence intervals and the asymptotic behaviors of three cosmological models. The first model we investigate is based on the Friedmann-Lemaître-Robertson-Walker (FLRW) metric, which is consistent with the cosmological principle. READ MORE

  3. 2. Invariant Construction of Cosmological Models

    University essay from Umeå universitet/Institutionen för fysik

    Author : Erik Jörgenfelt; [2016]
    Keywords : ;

    Abstract : Solutions to the Einstein field equations can be constructed from invariant objects. If a solution is found it is locally equivalent to all solutions constructed from the same set. READ MORE

  4. 3. The wave equation and redshift in Bianchi type I spacetimes

    University essay from KTH/Matematik (Avd.)

    Author : Oliver Lindblad Petersen; [2014]
    Keywords : ;

    Abstract : The thesis consists of two independent parts. In the first part, we show how the solution to the scalar wave equation on 3-torus-Bianchi type I spacetimes can be written as a Fourier decomposition. We present results on the behaviour of these Fourier modes and apply them to the case of 3-torus-Kasner spacetimes. READ MORE

  5. 4. Non-isotropic Cosmology in 1+3-formalism

    University essay from Linköpings universitet/Matematiska institutionen; Linköpings universitet/Tekniska högskolan

    Author : Johan Jönsson; [2014]
    Keywords : Non-isotropic cosmology; Einstein; Relativity; Bianchi Type I; 1 3-covariant formalism;

    Abstract : Cosmology is an attempt to mathematically describe the behaviour of the universe, the most commonly used models are the Friedmann-Lemaître-Robertson-Walker solutions. These models seem to be accurate for an old universe, which is homogeneous with low anisotropy. READ MORE

  6. 5. Bianchi type I solutions to Einstein's vacuum equations.

    University essay from KTH/Matematik (Inst.)

    Author : Oliver Lindblad Petersen; [2013]
    Keywords : ;

    Abstract : A natural question in general relativity is whether there exist singularities, like the Big Bang and black holes, in the universe. Albert Einstein did not in the beginning believe that singularities in general relativity are generic ([2], [3]). He claimed that the existence of singularities is due to symmetry assumptions. READ MORE