Relativity in Modern Physics

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 Nordstroem 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 Felix-Louis Julie
Part IV Friedmann-Lemaitre solutions and cosmology
17: Cosmological spacetimes
18: Friedmann-Lemaitre 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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• Física relativística
• Cosmologia e o Universo