Transcription of INTRODUCTION TO GENERAL RELATIVITY
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INTRODUCTION TO GENERAL RELATIVITYG erard t HooftInstitute for Theoretical PhysicsUtrecht UniversityandSpinoza InstitutePostbox TD Utrecht, the ~thooft/Version November 20101 PrologueGeneral RELATIVITY is a beautiful scheme for describing the gravitational field and theequations it obeys. Nowadays this theory is often used as a prototype for other, moreintricate constructions to describe forces between elementary particles or other branchesof fundamental physics. This is why in an INTRODUCTION to GENERAL RELATIVITY it is ofimportance to separate as clearly as possible the various ingredients that together giveshape to this paradigm.
We now have formulated the theory of Special Relativity in such a way that it has be-come very easy to check if some suspect Law of Nature actually obeys Lorentz invariance. Left- and right hand side of an equation must transform the same way, and this is guar-anteed if they are written as vectors or tensors with Lorentz indices always transforming
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