Overview of General Relativity and Space-Time

Overview of General Relativity and Space-Time

Vittorio, Nicola

Taylor & Francis Ltd

12/2022

256

Dura

Inglês

9780367692889

15 a 20 dias

657

Descrição não disponível.
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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classical mechanics;special mechanics;special relativity;linear algebra;Lagrangian mechanics;Mathematica codes;Schwarzschild solution;Schwarzschild geometry;Christoffel Symbols;Minkowski Space Time;Contravariant Components;Inertial Frame;Schwarzschild Space Time;Euler Lagrangian Equations;Cosmological Constant;Weak Field Limit;Inertial Reference Frame;Covariant Components;Vice Versa;Covariant Derivatives;Einstein Tensor;Schwarzschild Metric;Field Equations;Energy Density;Energy Momentum Tensor;Displacement Vector;Parallel Transport;Ricci Tensor;Rest Energy;Polar Basis Vectors;Non-inertial Reference Frames