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Notes on Relativity and Cosmology - Physics Department, UCSB

Notes on Relativity and Cosmology - Physics Department, UCSB

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12 CONTENTS<br />

way you deal with almost every thing you encounter. You will have succeeded<br />

in underst<strong>and</strong>ing relativity when you have built up a new intuiti<strong>on</strong> based <strong>on</strong><br />

what Einstein discovered. Yes, this can be d<strong>on</strong>e! Intuiti<strong>on</strong> is basically a reflex,<br />

albeit a mental as opposed to a physical <strong>on</strong>e. We all know how to train our<br />

reflexes in sports: practice! Yep, this is a little speech to stress the importance<br />

of doing homework, <strong>and</strong> opti<strong>on</strong>al problems too.<br />

Credits<br />

PHY312 has it roots in a course originated by Austin Glees<strong>on</strong> at the University<br />

of Texas at Austin. During our time there as graduate students <strong>and</strong> teaching<br />

assistants, D. Eric Smith <strong>and</strong> I had the opportunity to assist in the development<br />

of the course <strong>and</strong> in the design of course materials. I am very grateful to Austin<br />

Glees<strong>on</strong> both for this experience <strong>and</strong> for his support during <strong>and</strong> since. Although<br />

PHY312 is a very different course, many of the goals were similar <strong>and</strong> many of<br />

the pedagogical ideas appearing in PHY312 <strong>and</strong> these notes stem from our work<br />

together. In particular, I am indebted to Eric for our many l<strong>on</strong>g discussi<strong>on</strong>s in<br />

which we struggled to find the most elementary way to phrase c<strong>on</strong>cepts <strong>and</strong><br />

arguments while still capturing all of the subtleties inherent in working with<br />

curved spacetimes. It is fair to say that I obtained a deeper grasp of relativity<br />

though these c<strong>on</strong>versati<strong>on</strong>s than from any course. I can <strong>on</strong>ly hope my own<br />

students have a similar experience, prodded by the homework problems below.<br />

Many of these problems, by the way, came originally from the course in Texas<br />

<strong>and</strong> are <strong>on</strong>ly slowly evolving over time.<br />

Moving <strong>on</strong> to Syracuse, I would like to thank Eric Schiff, our current department<br />

chair, for encouraging me to develop this course, as well as Peter Sauls<strong>on</strong><br />

for his advice (<strong>on</strong> both pedagogical <strong>and</strong> experimental issues) <strong>and</strong> support. Finally,<br />

I would like to thank all of my past students, either at Syracuse or in<br />

Texas, for their valuable questi<strong>on</strong>s <strong>and</strong> comments.

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