3-9), but then leads students through the standard general relativity topics, is Thomas Moore, A General Relativity Workbook ( University Science Books, Mill Valley, CA 2013). A text that begins at the level of our paper (also discussing the Misner, Thorne, Wheeler derivation on its pp. Because smooth curvature is easy to describe in two dimensions, but can become messy in more dimensions, we limited our discussion of the motion of stones and photons to just the ( y-ct) plane. In contrast, our purpose in this paper is to find an example simple enough that we can introduce the idea of curved spacetime in an introductory physics course. Their purpose is to introduce a general approach to motion in four or more dimensional curved space, which leads to a discussion of the Riemann curvature tensor on their next page (34). 33, the authors calculate the same nearly 1 l-y radius of spacetime curvature for a ball and a bullet that go up and come back down 10 m away. French, and Mario Iona, “ About the International System of Units (SI): Introduction and bibliography,” Phys. Huggins, Calculus2000, freely available at. The derivation is from the beginning of Chap. We have included the downloadable Appendix A 17 to emphasize that the result follows from the mathematics found in an introductory calculus course. This book brings the subject of black holes alive, with only some use of four vectors. Taylor and John Archibald Wheeler, Exploring Black Holes: An Introduction to General Relativity ( Addison-Wesley, Longman, 2000). For Wheeler’s description of general relativity, see p.
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