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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.

From the above one can immediately infer the existence of a time coordinate t2R such that all the events of constant time tcompose a 3-dimensional Euclidean space. The spacetime is topologically equivalent to R4 and admits a universal coordinate system (t;x 1;x2;x 3). Causal structure Given an event p occurring at time t

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