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The general theory of relativity, together with the necessary parts of the theory of invariants, is dealt with in the author’s book Die Grundlagen der allgemeinen Relativitätstheorie (The Foundations of the General Theory of Relativity) — Joh. Ambr. Barth, 1916; this book assumes some familiarity with the special theory of relativity. v
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Download a PDF file of the lecture notes on general relativity by David Tong, a professor at the University of Cambridge. The notes cover topics such as geodesics, differential geometry, Riemannian geometry, Einstein equations, black holes, cosmology and more.
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The general theory of relativity, together with the necessary parts of the theory of invariants, is dealt with in the author’s book Die Grundlagen der allgemeinen Relativitätstheorie (The Foundations of the General Theory of Relativity)—Joh. Ambr. Barth, 1916; this book assumes some familiarity with the special theory of relativity. T
- Prologue
- (F 1o )0 = L1 L o ̄ F ® ̄ : (1.13)
- M(2) M(1)
- Curvature
- R 1o® ̄ = ¡R o1® ̄ = R ® ̄1o :
- R 1o = R o1 ;
- 9. Special coordinates.
- GeneratedCaptionsTabForHeroSec
General relativity is a beautiful scheme for describing the gravitational ̄eld and the equations it obeys. Nowadays this theory is often used as a prototype for other, more intricate constructions to describe forces between elementary particles or other branches of fundamental physics. This is why in an introduction to general relativity it is of ...
It is of importance to realize what this implies: although we have the well-known postulate that an experimenter on a moving platform, when doing some experiment, will ̄nd the same outcomes as a colleague at rest, we must rearrange the results before comparing them. What could look like an electric ̄eld for one observer could be a superposition o...
inert inert These objects would show di®erent accelerations ~ a and this would lead to e®ects that can be detected very accurately. In a space ship, the acceleration would be determined by the material the space ship is made of; any other kind of material would be accel-erated di®erently, and the relative acceleration would be experienced as a weak...
As for the Riemann curvature tensor de ̄ned in the previous chapter, we can now raise and lower all its indices:
By contracting two indices one obtains the Ricci tensor:
We can contract further to obtain the Ricci scalar,
In the preceding chapters no restrictions were made concerning the choice of coordinate frame. Every choice is equivalent to any other choice (provided the mapping is one-to-one and di®erentiable). Complete invariance was ensured. However, when one wishes to cal-culate in detail the properties of some particular solution such as space-time surround...
A PDF file of lecture notes on general relativity, covering the physical motivations, the mathematical formalism, and some applications. The notes are written by Gerard 't Hooft, a Nobel laureate in physics, and are available on his home page.
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Feb 1, 2004 · Title. Relativity : the Special and General Theory. Original Publication. Methuen & Co Ltd, 1920. Note. See also PG #30155 which is from a later print edition. Note especially that some of the automatically-generated formats of #5001 may not display images or equations correctly. Credits. Brian Basgen and Jeroen Hellingman.
- Einstein, Albert, 1879-1955
- Relativity : the Special and General Theory
- Methuen & Co Ltd, 1920
- Lawson, Robert W. (Robert William)
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Oct 1, 2009 · Relativity: The Special and General Theory by Albert Einstein | Project Gutenberg. Project Gutenberg. 73,593 free eBooks. 11 by Albert Einstein.
Oct 5, 2013 · On the Relativity of the Conception of Distance 11. The Lorentz Transformation 12. The Behaviour of Measuring-Rods and Clocks in Motion 13. Theorem of the Addition of Velocities. The Experiment of Fizeau 14. The Hueristic Value of the Theory of Relativity 15. General Results of the Theory 16. Experience and the Special Theory of Relativity 17.
