General Relativity and Cosmology - Spring 2018

Course
PH471 - General Relativity and Cosmology
Instructor
Ewan Stewart
Email
gr.17s @ profstewart.org
Homepage
http://profstewart.org/gr/
Time
13:00 - 14:30, Tuesdays and Thursdays
Space
Questions
Prof: email, before/after class, meeting arranged by email
Evaluation
class participation, exam

Syllabus and lecture notes

The syllabus and lecture notes will be continually revised. Please make sure you have the latest versions.

  1. Differential geometry
    1. Tensors
      1. Vectors and covectors
      2. Abstract index notation
      3. Metric
    2. Spaces
      1. Tensor fields
      2. Tensor calculus
      3. Bases and coordinates
  2. Relativity
    1. Overview of physics
      1. Map of physics
      2. Newtonian mechanics
    2. Spacetime
      1. Structure of spacetime
      2. Spacetime decomposition
    3. Particles in spacetime
      1. Kinematics
      2. Action
      3. Newtonian decomposition
    4. Dynamics of spacetime
      1. Einstein equation
      2. Matter
    5. De Sitter space
      1. De Sitter metric
      2. Penrose diagrams
    6. Black holes
      1. Schwarzschild metric
      2. Kerr metric
    7. Gravitational waves
      1. Weyl tensor
      2. Plane waves
  3. Cosmology
    1. Expanding universe
    2. Inflation
      1. Motivation
      2. Definition of inflation
      3. Types of inflation
      4. Quantum fields in de Sitter space
      5. Generating perturbations
    3. Origin of matter
      1. Baryogenesis
      2. Dark matter
    4. Accelerating universe

Problems

There will be lots of problems with this course.

Exam

The exam will be open book and open time (up to 8 hours).

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