Theory of Gravitational Interactions / by Maurizio Gasperini.

Format:

Book

Author/Creator:

Gasperini, Maurizio., Author.

Series:

UNITEXT for Physics, 2198-7882

Language:

English

Subjects (All):

Gravitation.

Quantum field theory.

String models.

Cosmology.

Mathematical physics.

Classical and Quantum Gravitation, Relativity Theory.

Quantum Field Theories, String Theory.

Mathematical Physics.

Local Subjects:

Classical and Quantum Gravitation, Relativity Theory.

Quantum Field Theories, String Theory.

Cosmology.

Mathematical Physics.

Physical Description:

1 online resource (XVII, 373 p. 14 illus.)

Edition:

2nd ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2017.

Summary:

This is the second edition of a well-received book that is a modern, self-contained introduction to the theory of gravitational interactions. The new edition includes more details on gravitational waves of cosmological origin, the so-called brane world scenario, and gravitational time-delay effects. The first part of the book follows the traditional presentation of general relativity as a geometric theory of the macroscopic gravitational field, while the second, more advanced part discusses the deep analogies (and differences) between a geometric theory of gravity and the “gauge” theories of the other fundamental interactions. This fills a gap within the traditional approach to general relativity which usually leaves students puzzled about the role of gravity. The required notions of differential geometry are reduced to the minimum, allowing room for aspects of gravitational physics of current phenomenological and theoretical interest, such as the properties of gravitational waves, the gravitational interactions of spinors, and the supersymmetric and higher-dimensional generalization of the Einstein equations. This textbook is primarily intended for students pursuing a theoretical or astroparticle curriculum but is also relevant for PhD students and young researchers. .

Contents:

Elementary Notions of Relativistic Field Theory

Towards a Relativistic Theory of Gravity

Tensor Calculus in a Riemann Manifold

Maxwell Equations and Riemann Geometry

Test Bodies and Signals in a Riemann Space–Time

Geodesic Deviation and Curvature Tensor

The Einstein Equations for the Gravitational Field

The Weak-Field Approximation

Gravitational Waves

The Schwarzschild Solution

The Kasner Solution

Vierbeins and Lorentz Connection

The Dirac Equation in a Gravitational Field

Supersymmetry and Supergravity

Appendix A The Language of Differential Forms

Appendix B Higher-Dimensional Gravity

References

Index.

Notes:

Includes bibliographical references and index.

ISBN:

3-319-49682-4