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General Relativity

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General RelativityStefanos AretakisJune 30, 20182Contents1 Special Newtonian Physics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . The Birth of Special Relativity . . . . . . . . . . . . . . . . . . . . . . . . The Minkowski SpacetimeR3+1. . . . . . . . . . . . . . . . . . . . . . . . Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . Observers, Frames of Reference and Isometies . . . . . . . and Special Covariance . . . . . . . . . . . . . . . . . . . . Mechanics . . . . . . . . . . . . . . . . . . . . . . . . . Conformal Structure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Double Null Foliation.

all quantities as functions of (the space and) time t. Newton’s theory gives a very accurate theory for objects moving at slow speeds in absence of strong gravitational elds. However, in several circumstances di culties arise: 1.A more philosophical issue is that in Newtonian theory an observer is either at rest or in motion.

  Functions

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