Cosmology part iii mathematical tripos

  • How is maths used in cosmology?

    Mathematics has played a big role in understanding the subatomic particles which form the matter of living things, planets and stars.
    Second, geometers have been working with physicists and astronomers to understand the geometry of the space we live in..

  • What is the cosmological model of the universe?

    A cosmological model, or simply cosmology, provides a description of the largest-scale structures and dynamics of the universe and allows study of fundamental questions about its origin, structure, evolution, and ultimate fate..

Details: Dr James Fergusson. Room: B1:12. J.Fergusson@DAMTP.cam.ac.uk. Textbooks: Modern Cosmology - Dodelson. The Early Universe - Kolb, Turner.

Can cosmology discover new physics beyond the standard model?

This still leaves room for discovering that Ne 6 = 3:046, which is one of the avenues in which cosmology could discover new physics beyond the Standard Model. 17For m < 0:2 eV, neutrinos are relativistic at recombination. of tritium -decay, in fact, nd that P m ;i < 6 eV.

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When does the Mathematical Tripos 2023-2024 course description change?

It is updated over the summer to provide information to students starting the course in October; this means that it is subject to change .
The course descriptions listed below are for courses offered in Part III of the Mathematical Tripos 2023-2024.

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Which cosmological UIDs can be parameterised in a constant equation of State?

Most cosmological uids can be parameterised in terms of a constant equation of state:

  • w = P= .
    This includes ,cold dark matter (w = 0), radiation (w = 1=3) and vacuum energy (w = 1).
    In that case, the solutions to (1.3.98) scale as We want to relate these matter sources to the evolution of the scale factor in the FRW met- ric (1.1.14).
  • ,

    Why do we need a cosmological constant with 3p 0?

    If, due to our philosophical prejudices, we really want a static solution, we need to introduce an additional uid with + 3P < 0 which has repulsive gravity, to counter the attraction of the ordinary matter.
    A cosmological constant ( + P = 0) is just such a component.
    In this case, the Friedmann equations become, setting P = 0 for the matter, .


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