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Theory of gravitational interactions / Maurizio Gasperini.

By: Material type: TextTextSeries: Undergraduate lecture notes in physicsPublication details: New York : Springer, 2013.Description: xvi, 322 p. : illustrations ; 24 cmISBN:
  • 9788847026902 (pbk. : alk. paper)
Subject(s): DDC classification:
  • 531.14 23 G249
Contents:
1. Elementary Notions of Relativistic Field Theory -- 2. Towards a Relativistic Theory of Gravity -- 3. Tensor Calculus in a Riemann Manifold -- 4. Maxwell Equations and Riemann Geometry -- 5. Test Bodies and Signals in a Riemann Space-Time -- 6. Geodesic Deviation and Curvature Tensor -- 7. The Einstein Equations for the Gravitational Field -- 8. The Weak-Field Approximation -- 9. Gravitational Waves -- 10. The Schwarzschild Solution -- 11. The Kasner Solution -- 12. Vierbeins and Lorentz Connection -- 13. The Dirac Equation in a Gravitational Field -- 14. Supersymmetry and Supergravity-- Appendices-- References-- Index.
Summary: This up-to-date, self-contained review of the theory of gravitational interactions presents a traditional introduction, then discuss analogies and differences between a geometric theory of gravity and the gauge theories of the other fundamental interactions.
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Includes bibliographical references and index.

1. Elementary Notions of Relativistic Field Theory --
2. Towards a Relativistic Theory of Gravity --
3. Tensor Calculus in a Riemann Manifold --
4. Maxwell Equations and Riemann Geometry --
5. Test Bodies and Signals in a Riemann Space-Time --
6. Geodesic Deviation and Curvature Tensor --
7. The Einstein Equations for the Gravitational Field --
8. The Weak-Field Approximation --
9. Gravitational Waves --
10. The Schwarzschild Solution --
11. The Kasner Solution --
12. Vierbeins and Lorentz Connection --
13. The Dirac Equation in a Gravitational Field --
14. Supersymmetry and Supergravity--
Appendices--
References--
Index.

This up-to-date, self-contained review of the theory of gravitational interactions presents a traditional introduction, then discuss analogies and differences between a geometric theory of gravity and the gauge theories of the other fundamental interactions.

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