TFNPV0009 Temperature Fluctuations of CMBR

Institute of physics in Opava
winter 2020
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Jan Schee, Ph.D. (lecturer)
doc. RNDr. Jan Schee, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Jan Schee, Ph.D.
Institute of physics in Opava
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the lectures is to introduce the problem of CMBR to students. Gradually the origin and character of CMBR will be derived. The problem of large structures formation and their effect on CMBR temperature anizotropies origin will be discussed.Students will learn the link between cosmological model parameters and CMBR temperature anizotropies.
Learning outcomes
Passing the course students acquire following skills:
- to analyze CMBR temperature fluctuations power spectrum.
- to construct and analyze own models of cosmic fluid inhomogeneities along with corresponding CMBR temperature anizotropies.
- to determine cosmological model parameters from CMBR temperature anizotropies(Hubble parameter, density parameters,...).
Syllabus
  • Outline:
  • - Friedmann cosmological model. Recombination and last-scattering surface, origin and character of CMBR. Inflation and resolution of standard Friedmann model.
  • - Linear and nonlinear perturbations of cosmic fluid. Perturbation equation. Null geodesics and CMBR anizotropy.Power spectrum.
  • - Initial perturbations of the cosmic fluid. Scalar field perturbations. Peturbation generation during inflation.
  • - CMBR anizotropies. Dipole anizotropy, Sunyaev-Zeldovich effect. Primary fluctuations: Sachs-Wolf effect, Rees-Sciama effect.
  • - Swiss-cheese model and temperature anizotropy of CMBR. Vakuola model, matching hypersurface, junction conditions. Refraction of null geodesics on matching hypersurface.
  • - Analysis of cosmological constant effect on CMBR temperature anizotropy as relict radiation passes through vacuola (or general inhomogeneity).
  • - Perturbed Friedmann metric. Liouville equation in perturbed Friedmann universe. Ultrarelativistic limit and Liouville equation for null particles.
  • - Boltzman equation and Silk dumping.
  • - Temperature anizotropy of CMBR and determining of cosmological model parameters.
Literature
    recommended literature
  • Durrer, R. The Cosmic Microwave Background, Cambridge, 2008
  • Peacock, J. A. Cosmological Physics, Cambridge University Press, 1999
  • Lightman, A., Prince, R. H. Problem Book in Relativity and Gravitation, Princeton University Press, 1975
  • Weinberg, S. Cosmology,Oxford University Press, 2008
  • Misner, C. W., Thorne, K. S., Wheeler, J. A. Gravitation, Freeman, San Francisco, 1973 (2017)
Teaching methods
Lectures. Given problems discussion. Solution of given home projects.
Assessment methods
Oral exam. Working out and defense of given final project.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms winter 2021, winter 2022, winter 2023, winter 2024.
  • Enrolment Statistics (winter 2020, recent)
  • Permalink: https://is.slu.cz/course/fu/winter2020/TFNPV0009