## Aspects of Gravitational InteractionsThe twentieth century has brought enormous changes in the physicist's understanding of the fundamental nature of the physical world. These changes were ushered in the century's first decade, with the advent of relativity and quantum theory. With advancing knowledge, the mystery surrounding the ultimate nature of the physical world has deepened, not lessened, and the search for the Holy Grail of a 'Grand Unified Theory' or 'Theory of Everything' continues. This book reveals, in considerable detail, the concepts that have arisen as a result of that search -- the 'state of art'. Contents: Introduction to the Theory of Manifolds; Tensors and Riemannian; Einstein's theory of gravity; Some important modifications of Einstein's theory of gravity; Interaction of quantum fields with classical gravity; Gauge theory of gravity; Kaluza-Kleii Theory. |

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### Contents

INTRODUCTION TO THE THEORY | 1 |

Contents ix | 16 |

TENSORS AND RffiMANNIAN GEOMETRY | 23 |

Copyright | |

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### Common terms and phrases

action affine connection antisymmetric basis vectors bosons called Chapter chirality commutation complex corresponding cotangent coupling constant covariant derivative curvature curved space curved space-time defined denoted differentiable manifold dimension dimensional space-time Dirac spinors discussed divergent Einstein's field equations Einstein's theory element elementary particles energy momentum tensor fibre bundle gauge fields gauge theory geodesics given as ds2 gravitational constant Green's function hadron Hence holonomy group homeomorphic homogeneous implies integral interaction invariant Kaluza-Klein theory Killing vectors lagrangian density Levi-Civita Lie algebra Lie group line-element linear locally inertial coordinate Lorentz mass mathematical matrix metric tensor Minkowski space-time Minkowskian n-dimensional natural units neighbourhood Newtonian obtains operators parallel transport quantization quantum fields relation Ricci scalar rotation scalar field singularity space-time space-tune spin spinor space strong gravity subgroup tangent space tensor components tensor of rank term theorem theory of gravity vacuum vector fields vector space Volume written yields