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Relativity Made Relatively Easy.
Relativity Made Relatively Easy presents an extensive study of Special Relativity and a gentle (but exact) introduction to General Relativity for undergraduate students of physics. Assuming almost no prior knowledge, it allows the student to handle all the Relativity needed for a university course,...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford :
OUP Oxford,
2012.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Contents; I: The relativistic world; 1 Basic ideas; 1.1 Newtonian physics; 1.2 Special Relativity; 1.3 Matrix methods; 1.4 Spacetime diagrams; Exercises; 2 The Lorentz transformation; 2.1 Introducing the Lorentz transformation; 2.2 Velocities; 2.3 Lorentz invariance and 4-vectors; 2.4 Lorentz-invariant quantities; 2.5 Basic 4-vectors; 2.6 The joy of invariants; 2.7 Summary; Exercises; 3 Moving light sources; 3.1 The Doppler effect; 3.2 Aberration and the headlight effect; 3.3 Visual appearances*; Exercises; 4 Dynamics; 4.1 Force; 4.2 Motion under a pure force; Exercises.
- 5 The conservation of energy-momentum5.1 Elastic collision, following Lewis and Tolman; 5.2 Energy-momentum conservation using 4-vectors; 5.3 Collisions; 5.4 Elastic collisions; 5.5 Composite systems; 5.6 Energy flux, momentum density, and force; Exercises; 6 Further kinematics; 6.1 The Principle of Most Proper Time; 6.2 Four-dimensional gradient; 6.3 Current density, continuity; 6.4 Wave motion; 6.5 Acceleration and rigidity; 6.6 General Lorentz boost; 6.7 Lorentz boosts and rotations; 6.8 Generators of boosts and rotations; 6.9 The Lorentz group*; Exercises.
- 7 Relativity and electromagnetism7.1 Definition of electric and magnetic fields; 7.2 Maxwell's equations; 7.3 The fields due to a moving point charge; 7.4 Covariance of Maxwell's equations; 7.5 Introducing the Faraday tensor; Exercises; 8 Electromagnetic radiation; 8.1 Plane waves in vacuum; 8.2 Solution of Maxwell's equations for a given charge distribution; 8.3 Radiated power; Exercises; II: An introduction to General Relativity; 9 The Principle of Equivalence; 9.1 Free fall; 9.2 The uniformly accelerating reference frame; 9.3 Newtonian gravity from the Principle of Most Proper Time.
- 9.4 Gravitational redshift and energy conservationExercises; 10 Warped spacetime; 10.1 Two-dimensional spatial surfaces; 10.2 Three spatial dimensions; 10.3 Time and space together; 10.4 Gravity and curved spacetime; Exercises; 11 Physics from the metric; 11.1 Example exact solutions; 11.2 Schwarzschild metric: basic properties; 11.3 Geometry of Schwarzschild solution; 11.4 Gravitational lensing; 11.5 Black holes; 11.6 What next?; Exercises; III: Further Special Relativity; 12 Tensors and index notation; 12.1 Index notation in a nutshell; 12.2 Tensor analysis.
- 12.3 Antisymmetric tensors and the dualExercises; 13 Rediscovering electromagnetism; 13.1 Fundamental equations; 13.2 Invariants of the electromagnetic field; Exercises; 14 Lagrangian mechanics; 14.1 Classical Lagrangian mechanics; 14.2 Relativistic motion; 14.3 Conservation; 14.4 Equation of motion in General Relativity*; Exercises; 15 Angular momentum*; 15.1 Conservation of angular momentum; 15.2 Spin; Exercises; 16 Energy density; 16.1 Introducing the stress-energy tensor; 16.2 Stress-energy tensor for an arbitrary system; 16.3 Conservation of energy and momentum for a fluid.