Магистратура
2019/2020
Введение в общую теорию относительности
Статус:
Курс по выбору (Математика и математическая физика)
Направление:
01.04.01. Математика
Кто читает:
Факультет математики
Где читается:
Факультет математики
Когда читается:
1-й курс, 4 модуль
Формат изучения:
с онлайн-курсом
Преподаватели:
Маршаков Андрей Владимирович
Прогр. обучения:
Математика и математическая физика
Язык:
английский
Кредиты:
3
Контактные часы:
2
Course Syllabus
Abstract
General Theory of Relativity or the theory of relativistic gravitation is the one which describes black holes, gravitational waves and expanding Universe. The goal of the course is to introduce students into this theory. The introduction is based on the consideration of many practical generic examples in various scopes of the General Relativity.
Learning Objectives
- Students will learn basic concepts of the General Relativity Theory and its applications.
Expected Learning Outcomes
- Students will be able to solve basic standard problems of the General Relativity Theory.
Course Contents
- General Covariance
- Covariant differential and Riemann tensor
- Einstein-Hilbert action and Einstein equations
- Schwarzschild solution
- Penrose-Carter diagrams
- Classical tests of General Theory of Relativity
- Interior solution and Kerr's solution
- Collapse into black hole
- Gravitational waves
- Gravitational radiation
- Friedman-Robertson-Walker cosmology
- Cosmological solutions with non-zero cosmological constant
Interim Assessment
- Interim assessment (4 module)The final grade is computes as 0.5(homeworks)+0.5(final exam).
Bibliography
Recommended Core Bibliography
- Date, G. (2015). General Relativity : Basics and Beyond. Boca Raton, FL: CRC Press. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=906063
Recommended Additional Bibliography
- Substance and function, and Einstein’s theory of relativity. (1923). Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsbas&AN=edsbas.56C230A6