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Notes on Relativity and Cosmology - Physics Department, UCSB

Notes on Relativity and Cosmology - Physics Department, UCSB

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Preface<br />

Note: These lecture notes are available free of charge in color PDF from the<br />

course web site: (http://www.phy.syr.edu/courses/PHY312.03Spring/). The<br />

color versi<strong>on</strong> is particularly useful for getting the most out of complicated diagrams.<br />

To view PDF you will need to install Adobe Acrobat reader (if you<br />

d<strong>on</strong>’t have it already). It is free from Adobe at:<br />

http://www.adobe.com/products/acrobat/readstep.html.<br />

A letter of introducti<strong>on</strong><br />

Dear Students,<br />

This collecti<strong>on</strong> of lecture notes is intended as a guide to the material in<br />

PHY312: <strong>Relativity</strong> <strong>and</strong> cosmology. You are both lucky <strong>and</strong> unlucky to be<br />

taking this course. The point is that this course is essentially unique: I know<br />

of no other course anywhere that provides this thorough a treatment of both<br />

special <strong>and</strong> general relativity at a level accessibly with <strong>on</strong>ly elementary calculus.<br />

By your presence here, I take it that you are happy to have this opportunity!<br />

However, because of the unique nature of this course there is simply no<br />

adequate textbook <strong>on</strong> the market. In the first editi<strong>on</strong> of this course, we used two<br />

books (<strong>Relativity</strong> by A. Einstein <strong>and</strong> Inside <strong>Relativity</strong> by Mook <strong>and</strong> Vargish)<br />

as supplemental reading. However, most of the course c<strong>on</strong>tent was c<strong>on</strong>veyed<br />

directly through the lectures.<br />

Then, in Spring 2000 I decided to type my lecture notes <strong>and</strong> distribute them<br />

to the class in order to provide more relevant reading materials. The aim was to<br />

allow students to spend more time listening <strong>and</strong> thinking during lectures <strong>and</strong> to<br />

reduce their need to devote mental energy to merely copying things said in class<br />

or written <strong>on</strong> the board. According to course evaluati<strong>on</strong>s this was a success <strong>and</strong><br />

students found the notes quite valuable. By the end of the semester, a more or<br />

less complete (albeit sketchy) set of notes had been compiled.<br />

Based <strong>on</strong> the recommendati<strong>on</strong>s of Spring 2000’s students, I replaced <strong>on</strong>e of<br />

the supplemental texts (Mook <strong>and</strong> Vargish) with this compilati<strong>on</strong> of notes in<br />

Spring 2001. We c<strong>on</strong>tinue to keep the Einstein book to allow you to get some<br />

of our story direct from the horse’s mouth. However, these notes c<strong>on</strong>stitute the<br />

main ‘text.’<br />

9

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