The University of Southampton
Courses

MATH6139 Advanced General Relativity

Module Overview

General relativity is the theory of spacetime and gravity developed by Einstein. This module aims to develop a geometric understanding of general relativity and explore advanced applications of GR. In particular, we will study the physics of black holes (regions of spacetime which are causally disconnected from the rest of the Universe), uncovering their surprising properties.

Aims and Objectives

Module Aims

General relativity is the theory of spacetime and gravity developed by Einstein. This module aims to develop a geometric understanding of general relativity and explore advanced applications of GR. In particular, we will study the physics of black holes (regions of spacetime which are causally disconnected from the rest of the Universe), uncovering their surprising properties.

Learning Outcomes

Learning Outcomes

Having successfully completed this module you will be able to:

  • Understanding of the foundations of general relativity.
  • Ability to extract key ideas from complex research literature.
  • Assimilation of material from multiple sources to produce a coherent understanding of a topic.
  • Understanding of the use of general relativity in describing strong gravity phenomena.

Syllabus

• understand the mathematics of GR; • derive the Einstein equations, with simple matter sources, from an action principle; • determine the symmetries of a given metric; • understand various definitions of mass and angular momentum in general relativity; • understand the properties of black hole spactimes; • understand the laws of black hole mechanics; • use the above tools to independently study more advanced topics.

Learning and Teaching

Teaching and learning methods

Lectures, notes and private study

TypeHours
Independent Study114
Lecture24
Tutorial12
Total study time150

Resources & Reading list

R.M.Wald. General relativity. 

Assessment

Summative

MethodPercentage contribution
Coursework 50%
Individual Oral Presentation 20%
Individual written report 30%

Referral

MethodPercentage contribution
Exam 100%

Repeat Information

Repeat type: Internal & External

Linked modules

Pre-requisite: MATH3006

Costs

Costs associated with this module

Students are responsible for meeting the cost of essential textbooks, and of producing such essays, assignments, laboratory reports and dissertations as are required to fulfil the academic requirements for each programme of study.

In addition to this, students registered for this module typically also have to pay for:

Books and Stationery equipment

Course texts are provided by the library and there are no additional compulsory costs associated with the module.

Please also ensure you read the section on additional costs in the University’s Fees, Charges and Expenses Regulations in the University Calendar available at www.calendar.soton.ac.uk.

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