The Meaning of Einstein's Equation

Details The Meaning of Einstein's Equation The Meaning of Einstein's Equation

2001-03-13

arxiv.org/abs/gr-qc/0103044v5

Amer. Jour. Phys. 73 (2005), 644-652

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages LaTeX, 8 encapsulated Postscript figures; unlike the published version this includes a derivation of the inverse-squa

Scientific paper

10.1119/1.1852541

This is a brief introduction to general relativity, designed for both students and teachers of the subject. While there are many excellent expositions of general relativity, few adequately explain the geometrical meaning of the basic equation of the theory: Einstein's equation. Here we give a simple formulation of this equation in terms of the motion of freely falling test particles. We also sketch some of its consequences, and explain how the formulation given here is equivalent to the usual one in terms of tensors. Finally, we include an annotated bibliography of books, articles and websites suitable for the student of relativity.

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