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General Relativity

General RelativityStefanos AretakisJune 30, 20182 Contents1 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 .. Penrose Diagram .. Electromagnetism and Maxwell Equations .. 232 Lorentzian Causality I .. Null Geometry .. Global Hyperbolicity .. Causality II .. 413 Introduction to General Equivalence Principle .. The Einstein Equations .. The Cauchy Problem .. Gravitational Redshift and Time Dilation .. Applications .. 484 Null Structure The Double Null Foliation.

However, astronomical observations of double stars should reveal such fast and slow light, but in fact the speeds turn out to be the same. 3.Light is the propagation of an electromagnetic disturbance and electromagnetic elds are governed by Maxwell’s equations. However, these equations are not well-

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