Book contents
- Frontmatter
- Contents
- List of exercises
- List of projects
- Preface
- How to use this book
- 1 Special relativity
- 2 Scalar and electromagnetic fields in special relativity
- 3 Gravity and spacetime geometry: the inescapable connection
- 4 Metric tensor, geodesics and covariant derivative
- 5 Curvature of spacetime
- 6 Einstein's field equations and gravitational dynamics
- 7 Spherically symmetric geometry
- 8 Black holes
- 9 Gravitational waves
- 10 Relativistic cosmology
- 11 Differential forms and exterior calculus
- 12 Hamiltonian structure of general relativity
- 13 Evolution of cosmological perturbations
- 14 Quantum field theory in curved spacetime
- 15 Gravity in higher and lower dimensions
- 16 Gravity as an emergent phenomenon
- Notes
- Index
How to use this book
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- List of exercises
- List of projects
- Preface
- How to use this book
- 1 Special relativity
- 2 Scalar and electromagnetic fields in special relativity
- 3 Gravity and spacetime geometry: the inescapable connection
- 4 Metric tensor, geodesics and covariant derivative
- 5 Curvature of spacetime
- 6 Einstein's field equations and gravitational dynamics
- 7 Spherically symmetric geometry
- 8 Black holes
- 9 Gravitational waves
- 10 Relativistic cosmology
- 11 Differential forms and exterior calculus
- 12 Hamiltonian structure of general relativity
- 13 Evolution of cosmological perturbations
- 14 Quantum field theory in curved spacetime
- 15 Gravity in higher and lower dimensions
- 16 Gravity as an emergent phenomenon
- Notes
- Index
Summary
This book can be adapted by readers with varying backgrounds and requirements as well as by teachers handling different courses. The material is presented in a fairly modular fashion and I describe below different sub-units that can be combined for possible courses or for self-study.
1 Advanced special relativity
Chapter 1 along with parts of Chapter 2 (especially Sections 2.2, 2.5, 2.6, 2.10) can form a course in advanced special relativity. No previous familiarity with four-vector notation (in the description of relativistic mechanics or electrodynamics) is required.
2 Classical field theory
Parts of Chapter 1 along with Chapter 2 and Sections 3.2, 3.3 will give a comprehensive exposure to classical field theory. This will require familiarity with special relativity using four-vector notation which can be acquired from specific sections of Chapter 1.
3 Introductory general relativity
Assuming familiarity with special relativity, a basic course in general relativity (GR) can be structured using the following material: Sections 3.5, Chapter 4 (except Sections 4.8, 4.9), Chapter 5 (except Sections 5.2.3, 5.3.3, 5.4.4, 5.5, 5.6), Sections 6.2.5, 6.4.1, 7.2.1, 7.4.1, 7.4.2, 7.5. This can be supplemented with selected topics in Chapters 8 and 9.
4 Relativistic cosmology
Chapter 10 (except Sections 10.6, 10.7) along with Chapter 13 and parts of Sections 14.7 and 14.8 will constitute a course in relativistic cosmology and perturbation theory from a contemporary point of view.
5 Quantum field theory in curved spacetime
Parts of Chapter 8 (especially Sections 8.2, 8.3, 8.7) and Chapter 14 will constitute a first course in this subject.
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- Information
- GravitationFoundations and Frontiers, pp. xxvii - xxviiiPublisher: Cambridge University PressPrint publication year: 2010