An Overview of General Relativity and Space-Time - Vittorio, Nicola; - Prospero Internet Bookshop
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An Overview of General Relativity and Space-Time

 
Edition number: 1
Publisher: CRC Press
Date of Publication:
 
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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.

Long 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.

Table 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.