Ascent to the Einstein Equations
Spacetime, Gravitational Waves, Black Holes and more
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Product details:
- Publisher Springer Berlin Heidelberg
- Date of Publication 29 January 2026
- ISBN 9783662726716
- Binding Paperback
- No. of pages597 pages
- Size 240x168 mm
- Language English
- Illustrations XX, 597 p. 117 illus., 11 illus. in color. 700
Categories
Long description:
What are Einstein’s field equations? Can they be understood without a physics degree?
This book provides the answer. With care and clarity, the author offers scientifically curious readers an accessible path into Einstein’s theories of relativity. Only high school-level knowledge is assumed, making the material approachable for anyone with a strong interest in science. Readers explore both the physical phenomena and the mathematical techniques needed to grasp Einstein’s theory of gravity on a quantitative level. Step by step, the book guides readers toward answers to fundamental questions about General Relativity:
- How does Einstein’s theory of gravity differ from Newton’s?
- How can gravitational attraction be described geometrically?
- How can a black hole “swallow” light?
Table of Contents:
I The Worldview of Gravitation before Einstein.- 1 Kepler’s Laws.- 2 Laws of Falling.- 3 Newton’s Laws.- 4 Work and Energy.- 5 Rotations.- 6 Newton’s Law of Gravitation.- 7 Literature References and Further Reading for Part I.- II Vector and Tensor Calculus in the Euclidean Plane.- 8 Vector Calculus in the Euclidean Plane.- 9 Tensor Calculus in the Euclidean Plane.- 10 The Inertia Tensor.- 11 Literature References and Further Reading for Part II.- III Special Theory of Relativity.- 12 Principle of Relativity.- 13 The Geometry of Spacetime.- 14 Vector Calculus in Special Relativity Theory.- 15 Tensor Calculus in Special Relativity Theory.- 16 Energy-Momentum Tensors in Special Relativity.- 17 Literature References and Further Information on Part III.- IV Fundamentals of General Relativity.- 18 Gravitation and Spacetime Model.- 19 The Mathematical Foundations of Curved Spacetime.- 20 Motion in the Gravitational Field, Geodesic Equation.- 21 Curvature in Riemannian Space.- 22 Riemannian Space and Einstein Equations.- 23 Static Spherical Gravitational Fields.- 24 Literature References and Further Reading on Part IV.- V Application of the General Theory of Relativity to Selected Cosmological Phenomena.- 25 Gravitational Waves.- 26 Gravitational Collapse and the Interior Schwarzschild Metric.- 27 Black Holes.- 28 Literature References and Further Reading on Part V.- VI Appendix: Formulas and Tables.- 29 Functions, Formulas and Physical Laws.- 30 Units and Constants.- Bibliography.- Index.
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