Discovery of the Binary System PSR1913+16 6.5 Conclusive Remarks on Stellar Equilibrium.6.4.3 Polytropes and the Chandrasekhar Mass.6.4.1.1 Idealized Models of White Dwarfs and Neutron Stars.6.3.2 The Central Pressure of a Relativistic Star.6.3.1.2 Integration of the Relativistic Pressure Equation.6.3.1 Integration of the Pressure Equation in the Case of Uniform Density.6.3 Interior Solutions and the Stellar Equilibrium Equation.6.2 The Stress Energy Tensor of a Perfect Fluid.6.1 Introduction and Historical Outline.5.9 Retrieving the Schwarzschild Metric from Einstein Equations.5.8 The Bottom-Up Approach, or Gravity à la Feynmann.5.7 Weak Field Limit of Einstein Equations.The Stress-Energy Tensor of a Scalar Field.The Stress-Energy Tensor of the Yang-Mills Field.5.6.4 Examples of Stress-Energy-Tensors.5.4.1 Gravitational Coupling of Spinorial Fields.5.4 Soldering of the Lorentz Bundle to the Tangent Bundle.
5.3.3 Yang-Mills Theory in Vielbein Formalism. 5.3.2 Geometrical Rewriting of the Gauge Action. 5.3 The Structure of Classical Electrodynamics and Yang-Mills Theories. 5.2 Locally Inertial Frames and the Vielbein Formalism. 4.4.1 Perturbative Treatment of the Periastron Advance. 4.4 The Periastron Advance of Planets or Stars. Energy of a Particle in a Circular Orbit. 4.3.1 Extrema of the Effective Potential and Circular Orbits. 4.3 The Orbit Equations of a Massive Particle in Schwarzschild Geometry. 4.2 Keplerian Motions in Newtonian Mechanics. 3.9 Geodesics in Lorentzian and Riemannian Manifolds: Two Simple Examples. 3.7.2 Curvature and Torsion of an Affine Connection. The U(1)-Connection of the Dirac Magnetic Monopole. 3.5.1 The Magnetic Monopole and the Hopf Fibration of S3. 3.5 An Illustrative Example of Fibre-Bundle and Connection. Horizontal Vector Fields and Covariant Derivatives. 3.3.2 Ehresmann Connections on a Principle Fibre Bundle. 3.3.1.2 Maurer-Cartan Forms on Lie Group Manifolds. 3.3.1.1 Left-/Right-Invariant Vector Fields. 3.3.1 Mathematical Preliminaries on Lie Groups. 3.3 Connections on Principal Bundles: The Mathematical Definition. 3.2.5 Mobiles Frames from Frenet and Serret to Cartan. 3.2.4 The Metric Connection and Tensor Calculus from Christoffel to Einstein, via Ricci and Levi Civita. 3.2.3 Parallel Transport and Connections. 3.2.1 Gauss Introduces Intrinsic Geometry and Curvilinear Coordinates. 2.6.4 Relation Between Homotopy and Homology. 2.6.3 Homology and Cohomology Groups: General Construction. 2.5.3 The Cotangent Bundle and Differential Forms. 2.2.1 Homeomorphisms and the Definition of Manifolds. 1.8 Criticism of Special Relativity: Opening the Road to General Relativity. 1.6 Lorentz Covariant Field Theories and the Little Group. 1.5.1 The Fundamental Spinor Representation. 
1.5 Representations of the Lorentz Group.1.4.2 Retrieving Special Lorentz Transformations.1.4.1 The Lorentz Lie Algebra and Its Generators.1.4 Mathematical Definition of the Lorentz Group.1.3 The Principle of Special Relativity.
1.2.3 Maxwell Equations and Lorentz Transformations. 1.2.2 Luminiferous Aether and the Michelson Morley Experiment. 1.2 Classical Physics Between the End of the XIX and the Dawn of the XX Century.
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