
Relativity in Modern Physics
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Content
- Book 1 Space, time, and gravity in Newton's theory
- Part I Kinematics
- 1: Cartesian coordinates
- 2: Vector geometry
- 3: Curvilinear coordinates
- 4: Differential geometry
- Part II Dynamics
- 5: Equations of motion
- 6: Dynamics of massive systems
- 7: Conservation laws
- 8: Lagrangian mechanics
- 9: Hamiltonian mechanics
- 10: Kinetic theory
- Part III
- 11: The law of gravitation
- 12: The Kepler problem
- 13: The N-body problem
- 14: Deformations of celestial bodies
- 15: Self-gravitating fluids
- 16: Newtonian cosmology
- 17: Light in Newtonian theory
- Book 2 Special relativity and Maxwell's theory
- Part I Kinematics
- 1: Minkowski spacetime
- 2: The kinematics of a point particle
- 3: The kinematics of light
- 4: The wave vector of light
- 5: Accelerated frames
- Part II Dynamics
- 6: Dynamics of a point particle
- 7: Rotating systems
- 8: Fields and matter
- 9: The classical scalar field
- 10: The Nordström theory
- Part III Electromagnetism
- 11: The Lorentz force
- 12: The Maxwell equaions
- 13: Constant fields
- 14: The free field
- 15: Electromagnetic waves
- 16: Waves in a medium
- Part IV Electrodynamics
- 17: The field of moving charge
- 18: Radiation by a charge
- 19: The radiation reaction force
- 20: Interacting charges I
- 21: Interacting charges II
- 22: Electromagnetism and differential geometry
- Book 3 General relativity and gravitation
- Part I Curved spacetime and gravitation
- 1: The equivalence principle
- 2: Riemannian manifolds
- 3: Matter in curved spacetime
- 4: The Einstein equations
- 5: Conservation laws
- Part II The Schwarzschild solution and black holes
- 6: The Schwarzchild solution
- 7: The Schwarzchild black hole
- 8: The Kerr solution
- 9: The physics of black holes I
- 10: The physics of black holes II
- Part III General relativity and experiment
- 11: Tests in the solar system
- 12: The post-Newtonian approximation
- 13: Gravitational waves and the radiative field
- 14: Gravitational radiation
- 15: The two-body problem and radiative losses
- 16: The two-body problem: an effective-one-body approach: Written in collaboration with Félix-Louis Julié
- Part IV Friedmann-Lemaître solutions and cosmology
- 17: Cosmological spacetimes
- 18: Friedmann-Lemaître spacetimes
- 19: The Lambda-CDM model of the hot Big Bang
- 20: Inflationary models of the primordial universe
- 21: Cosmological perturbations
- 22: Primordial quantum perturbations
- Part V Elements of Riemannian geometry
- 23: The covariant derivative and the curvature
- 24: Riemannian manifolds
- 25: The Cartan structure equations
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