General Relativity and Cosmology


Semesterangivelse: Efterårs kursus Kurset udbydes i blok 1 Kurset udbydes i skemagruppe C Kurset giver 7,5 ETCS point

 


Udgave: Efterår 2012 NAT
Point: 7,5
Blokstruktur: 1. blok
Skemagruppe: C
Fagområde: fys
Institutter: Niels Bohr Institute
Uddannelsesdel: Kandidat niveau
Kontaktpersoner: Niels Obers (NBI),E-mail
Skema- oplysninger: The location for the course is:
Auditorium A at Blegdamsvej 17. Mondays from 13.00 through 17.00 and Wednesdays from 10.00 through 15.00
There are a few execptions, which is on the 22. October and the 24. October. On both dates the location is auditorium D, Blegdamsvej 17.
Undervisnings- periode: 3. september til 11. november 2012.
Undervisnings- form: Forelæsninger og regneøvelser.
Formål: The purpose of this course is that the student obtains a basic understanding of general relativity and cosmology, and becomes able to apply this to elementary phenomena.
Indhold:
This course gives an introduction to Einstein's general relativity, including a number of exact solutions. Black holes are discussed. The second part of the course gives an introduction to cosmology.
Kompetence- beskrivelse: The course introduces the student to the concept of gravity as a property of the geometry of spacetime itself, leading to Einstein's theory of general relativity. This includes the Einstein equivalence principle, the concept of general covariance, geodesic motion and the Einstein equations. As applications we will discuss the Schwarzschild solution and its geodesics, experimental tests, black holes and cosmology.
Målbeskrivelse:
  • When the course is finished it is expected that the student is able to explain the equivalence principle and describe the physical and mathematical meaning of geodesic motion.
  • The student should understand the principle of general covariance and how this can be used to arrive at the Einstein equations.
  • The student should be able to derive the Schwarzschild geometry around a static and spherically symmetric distribution of matter and describe the geodesics in this geometry along with the connection to experimental tests.
  • The student should be able to show how the Schwarzschild solution gives rise to the notion of black holes and understand the Kruskal extension.
  • Finally, the student should be able to explain the basic ingredients of cosmology, including the evolution of the scale factor of the universe given different energy momentum components.

    GRADE SCALE:
    12 (ECTS: A): For an excellent performance displaying a high level of command of all aspects of the relevant material, with no or only a few minor weaknesses.
  • Lærebøger: Spacetime and Geometry: An Introduction to General Relativity, Sean Carroll (Addison-Wesley) (further recommend are Notes (Autumn 2007, ps file) which can be found on the net at the address: http://www.nbi.dk/~polesen/)
    Tilmelding:
    Foregår på selvbetjeningen d. 15.maj - 1. juni
    Faglige forudsætninger: Classical mechanics, special relativity
    Formelle krav: Ingen
    Eksamensform: Mundtlig eksamen af cirka 25 minutters varighed uden forberedelsestid. Bedømmes ved 7-trins-skalaen, intern censur.
    Reeksamen: som den ordinære eksamen.
    Eksamen: Mundtlig prøve den 5. - 7. november 2012. Reeksamen: Mundtlig prøve den 30. januar 2013.
    Kursus hjemmeside:
    Undervisnings- sprog: Kun engelsk
    Sidst redigeret: 17/8-2012



    Københavns Universitet