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General Relativity for Cosmology

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Instructor: Achim Kempf, University of Waterloo
Type: Guelph-Waterloo Physics Institute & University of Waterloo credit course
Dates: September 21 - December, 2009, Mondays and Thursdays, 4:00 pm - 5:20 pm at Perimeter Institute, Bob Room

 
Resources
 
This course may be taken for credit by qualified students at any Ontario university with the permission of their departmental graduate advisor. The course is presently approved for credit at the University of Waterloo and the University of Guelph (through GWPI). Students who wish to register for credit from another Ontario university should ask their graduate advisor to contact Debbie Guenther  to make the necessary arrangements.

Course Description
This course begins by introducing the differential geometry of Lorentzian manifolds from scratch and then builds up quickly to the advanced framework in terms of differential forms and the vielbein formalism. These methods are then used to define general relativity, also as a gauge theory. We then study some of general relativity's deeper properties, such as the formalism of spinors, and aspects of the causal structure and singularities. One key goal is to lay the foundations for students who wish to proceed to studies in quantum gravity. We then apply general relativity to cosmological models and to cosmological perturbation theory. Thereby, we are covering the theory of cosmic inflation which is very successful in predicting, in particular, the properties cosmic microwave background radiation.

Please see course website (listed in resources box above) for more details.

 

 

 
 
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