An Overview of General Relativity and Space-Time
Series: Series in Astronomy and Astrophysics;
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Product details:
- Edition number 1
- Publisher CRC Press
- Date of Publication 29 December 2022
- ISBN 9780367683047
- Binding Paperback
- No. of pages270 pages
- Size 234x156 mm
- Weight 620 g
- Language English
- Illustrations 47 Illustrations, black & white; 5 Halftones, black & white; 42 Line drawings, black & white 475
Categories
Short description:
This textbook equips Masters? students studying Physics and Astronomy with the necessary mathematical tools to understand the basics of General Relativity and its applications.
MoreLong description:
This textbook equips Masters? students studying Physics and Astronomy with the necessary mathematical tools to understand the basics of General Relativity and its applications. It begins by reviewing classical mechanics with a more geometrically oriented language, continues with Special Relativity and, then onto a discussion on the pseudo-Riemannian space-times. Applications span from the inner and outer Schwarzschild solutions to gravitational wave, black holes, spherical relativistic hydrodynamics, and Cosmology. The goal is to limit the abstract formalization of the problems, to favor a hands-on approach with a number of exercises, without renouncing to a pedagogical derivation of the main mathematical tools and findings.
Features?
? Provides a self-contained introduction to General Relativity and to its standar applications.
? Presents readers with all the tools necessary for further learning and research in the field.
? Accessible to readers with just foundational knowledge of linear algebra and Lagrangian mechanics.
MoreTable of Contents:
1. Space and Time: The Classical View. 2. From Space and Time to Space-Time. 3. From Inertial to Non-Inertial Reference Frames. 4. Pseudo-Riemannian Spaces. 5. The Riemann-Christoffel Curvature Tensor. 6. From Non-Inertial Frames to Gravity: the Equivalence Principle. 7. Observational Test of the Equivalence Principle. 8. Field Equations in the "Vacuum": the Isotropic Solution. 9. Test-particles in the Schwarzschild Space-Time. 10. The Classical Tests of General Relativity. 11. Gravitational Waves in the "Vacuum". 12. Schwarzschild Black Holes. 13. Field Equations in Non-Empty Space-Times. 14. Further Applications of Some Field Equations. 15. Theoretical Cosmology. 16. The Hot Big-Bang. Appendix A. References. Index.
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