Special Relativity

  1. Beyond Special Relativity
    1. Limitations of Special Relativity
      1. Applicability only to Inertial Frames
        1. Uniform Motion Restriction
          1. Acceleration Problems
          2. Incompatibility with Newtonian Gravitation
            1. Instantaneous Action Problem
              1. Field Equation Inconsistencies
              2. Inability to Describe Accelerated Frames
                1. Non-inertial Reference Frames
                  1. Fictitious Force Problems
                2. Introduction to General Relativity
                  1. The Principle of Equivalence
                    1. Gravitational and Inertial Mass
                      1. Weak Equivalence Principle
                        1. Strong Equivalence Principle
                        2. Equivalence of Gravity and Acceleration
                          1. Elevator Thought Experiment
                            1. Local Inertial Frames
                          2. Gravity as Curvature of Spacetime
                            1. Departure from Newtonian Gravity
                              1. Geometric Theory of Gravity
                                1. Spacetime Curvature Concept
                                2. Conceptual Overview of Curved Spacetime
                                  1. Metric Tensor Introduction
                                    1. Geodesic Motion
                                  2. Further Directions in Relativity
                                    1. Einstein Field Equations
                                      1. Black Holes and Cosmology
                                        1. Gravitational Waves

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                                    8. Applications and Experimental Confirmations

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                                    1. Foundations of Relativity