# Portal:General relativity

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**General Relativity**

*Topic within the Astrophysics department*

# Topic description

[edit | edit source]General relativity (GR) is an advanced topic within the department of Astrophysics and requires a high level of knowledge in calculus, algebra and physics in general. Tensor fields are a critical part of general relativity.

## Prerequisites

[edit | edit source]- Topic:Special relativity (SR) - the spacetimes of GR have the spacetime of SR as a limiting case at a point in spacetime, so you must first understand SR
- Topic:Differential geometry - you need to understand tensors, tensor fields and differential geometry in general in order to understand GR; elements of these are frequently taught within a GR course as an alternative to a full differential geometry course

## Courses

[edit | edit source]- Special relativity and steps towards general relativity (
*shortcut:***SRepsilonGR**)- this course includes a few elements towards elementary general relativity

- Cosmology
- twentieth/twenty-first cosmology is one of the main applications of general relativity

## Lectures

[edit | edit source]- General relativity
- Introduction to general relativity
- Inveiling the breakdown of Euclidean geometry in linearized general relativity

See: Learning Projects and the Wikiversity:Learning model.

Learning materials and learning projects can be used by multiple departments. Cooperate with other departments that use the same learning resource.

Relevant topics: Covariance, Vectors/ Fields, Tensor Calculus, Euler-Lagrange equations, Equivalence principle, Curvature, Riemann Tensor, Gravitational Waves

## Problem Reviews

[edit | edit source]## External learning resources

[edit | edit source]- The website for a GR class taught at Caltech by Kip Thorne and Lee Lindblom. Contains problems, solutions and some lecture notes. [1]
- The first of a sequence of videos of lectures of an "Introduction to General Relativity" class taught by Kip Thorne. [2]
- "Lecture Notes on General Relativity" by Sean Carroll. Coincidentally the basis for his book. [3]
*The General Relativity Tutorial*, John Baez: online tutorials and reading list.