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## From First Principles to Interpretations

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1st Edition - January 22, 2024

Author: Balša Terzić

Language: EnglishPaperback ISBN:

9 7 8 - 0 - 4 4 3 - 2 3 5 4 2 - 9

eBook ISBN:

9 7 8 - 0 - 4 4 3 - 2 3 5 4 3 - 6

Relativity and Cosmology: From First Principles to Interpretations provides a high-quality and highly relevant astrophysics grounding for senior undergraduate students. This comp… Read more

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Immediately download your ebook while waiting for your print delivery. No promo code is needed.

*Relativity and Cosmology: From First Principles to Interpretations* provides a high-quality and highly relevant astrophysics grounding for senior undergraduate students. This comprehensive textbook emphasizes an illustrative, pedagogical approach and aims to strike a balance between the breadth and depth of the material presented, frequently tying new material – relativistic mechanics and gravity – to the classical mechanics and gravity with which readers are more familiar. It includes robust content and corresponding exercises, figures, and appendices on many exciting developments, including relativistic mechanics; Newtonian classical mechanics; relativistic spacetime; special relativity; general relativity; tensor calculus; cosmology; Einstein’s field equations; dark matter; dark energy; and black holes.

This accessible first edition delivers helpful and engaging additions to the role and importance of physics in cosmology and relativity. It is ideal for courses in physics, astrophysics, astronomy, and related subjects.

- Introduces practical, mathematical approaches for applying fundamental concepts in relativity and cosmology
- Places an emphasis on illustrative pedagogical approaches with applied examples
- Strikes a balance between the breadth and depth of the material presented, frequently tying the new material – including relativistic mechanics and gravity – to the classical mechanics and gravity with which readers may be more familiar
- Includes numerous figures, examples, illustrative problems and appendices which provide convenient access to the important physics concepts used in the text
- Offers online support, including a full solutions manual for qualified instructors and additional programming resources (PowerPoints and Python files)

Senior undergraduate students majoring in physics, Professionals / researchers / academics applying relativity and cosmology principles in research and applied settings, who require an introduction or refresher to the subject, or study an adjacent field, like mathematics or engineering

- Cover image
- Title page
- Table of Contents
- Copyright
- Dedication
- Praise for Relativity and Cosmology
- Preface
- Acknowledgments
- Organization of the book
- Chapter 1: Introduction
- 1.1. Motivation: Newton vs. Einstein
- 1.2. General relativity: a new theory of gravity
- 1.3. Book outline
- Chapter 2: Special relativity
- 2.1. Newtonian (non-relativistic) physics
- 2.2. Foundational premises of special relativity
- 2.3. Lorentz transformations
- 2.4. Length contraction
- 2.5. Time dilation
- 2.6. Invariance of the volume element
- 2.7. Timelike, spacelike, and null intervals
- 2.8. Recovering Newtonian mechanics: special limit v≪c
- 2.9. Covariant and contravariant four-vectors
- 2.10. Energy–momentum four-vector
- 2.11. Spacetime diagrams
- 2.12. Geodesics: equations of motion from an action principle
- 2.13. What an observer observes
- References
- Chapter 3: The Equivalence Principle
- 3.1. Newtonian gravity is inconsistent with special relativity
- 3.2. The equivalence of gravitational and inertial mass
- 3.3. A scientific fable
- 3.4. Gravity as geometry
- 3.5. Geometric derivation of Newtonian gravity
- Chapter 4: General relativity
- 4.1. Notation and conventions
- 4.2. General coordinate transformation
- 4.3. Spacetime coordinates and their metric tensors
- 4.4. Metric tensors
- 4.5. Freely falling frames
- 4.6. Area, volume, and four-volume
- 4.7. Vectors in curved spacetime
- 4.8. Covariant derivative
- 4.9. Geodesic equation
- References
- Chapter 5: Einstein's field equations
- 5.1. Bulk macroscopic description of matter: the Eulerian form
- 5.2. The energy–momentum tensor
- 5.3. The Riemann tensor, the Ricci tensor, the Ricci scalar, and the Einstein tensor
- 5.4. Evolution of energy density
- 5.5. Einstein's field equations
- References
- Chapter 6: The Schwarzschild metric and black holes
- 6.1. The Schwarzschild problem
- 6.2. Solving the Schwarzschild problem
- 6.3. Schwarzschild radius, event horizon, and black holes
- 6.4. Orbits in Schwarzschild's geometry
- References
- Chapter 7: The cosmological metric and Friedmann's equations
- 7.1. Hubble's law and the evolving Universe
- 7.2. Friedmann's equations
- 7.3. A Newtonian analogy to Friedmann's equations
- References
- Chapter 8: Solutions of Friedmann's equations
- 8.1. Cosmological models
- 8.2. Flat Universe (k=0, q0=1/2)
- 8.3. Closed Universe (k=+1, q0>1/2)
- 8.4. Open Universe (k=−1, q0<1/2)
- 8.5. Big Bang: a radiation/matter-dominated singularity
- Chapter 9: Cosmological constant and the dark Universe
- 9.1. Age of a matter-dominated Friedmann Universe
- 9.2. Einstein's field equations revisited: cosmological constant
- 9.3. Age of the Universe revisited
- 9.4. Particle horizon revisited: the horizon problem
- 9.5. Possible solutions to the horizon problem
- References
- Chapter 10: Cosmic distances
- 10.1. Redshift
- 10.2. Proper distance
- 10.3. Comoving coordinates and comoving distance
- 10.4. Angular diameter distance
- 10.5. Luminosity distance
- 10.6. Particle horizon
- Chapter 11: Summary of the foundations of cosmology
- 11.1. General relativity: kinematics in curved spacetime
- 11.2. Cosmology: solutions of Friedmann's equations
- 11.3. Expanding Universe
- Chapter 12: Cosmic content
- 12.1. Particle distribution function
- 12.2. Particle distribution function of species
- 12.3. Entropy density
- 12.4. Cosmic microwave background photons
- 12.5. Cosmic neutrino background
- 12.6. Baryonic matter
- 12.7. Dark matter
- 12.8. Dark energy
- References
- Chapter 13: Brief history of the early Universe
- 13.1. Keeping track of the Universe's history
- 13.2. Early Universe at a glance: major benchmarks
- 13.3. Very early Universe: the first three minutes
- 13.4. Early Universe: the first 400,000 years
- Chapter 14: Cosmic microwave background radiation
- 14.1. Importance of the CMB radiation
- 14.2. Systematic bias: the dipole anisotropy
- 14.3. Angular power spectrum
- 14.4. Scales in the angular power spectrum
- 14.5. Baryon acoustic oscillations
- 14.6. Physical effects affecting the CMB radiation
- References
- Epilogue
- Further reading
- References
- Appendix A: An alternative Lagrangian
- Appendix B: Geodesic equation in spherical coordinates
- Appendix C: Example of metric conversion
- Appendix D: Applying the geodesic equation
- Appendix E: Matter–dark energy equality
- Appendix F: Radiation–dark energy equality
- Appendix G: Radiation–matter equality
- Appendix H: Chemical potential
- Appendix I: How to compute the relative abundances of the light elements
- Dependence on various inputs
- Basic trends
- Realistic uncertainties
- Appendix J: Equation of state for the perfect fluid
- Appendix K: Origins of the large-scale structure in the Universe
- Constants, units, and conversions
- References
- References
- Index

- No. of pages: 270
- Language: English
- Edition: 1
- Published: January 22, 2024
- Imprint: Academic Press
- Paperback ISBN: 9780443235429
- eBook ISBN: 9780443235436

BT

Balša Terzić is an Associate Professor of Physics at Old Dominion University. His research interests include nonlinearities in astrophysics and cosmology (evolution of the universe, dark energy and dark matter, galaxy evolution) and in accelerator physics (nonlinear Compton scattering). He has taught courses in astrophysics, cosmology, physics and mathematics for nearly a decade.

Affiliations and expertise

Associate Professor and Graduate Program Director, Old Dominion University, Norfolk, VA, USA