| Preface | |
| Dedication to Carlos Graef-Fernandez | |
| Computer Algebra and Applications in Relativity and Gravity | p. 3 |
| Cosmological Models without Initial Singularities | p. 42 |
| Quantum Cosmology Lectures | p. 70 |
| Introduction to Black Hole Microscopy | p. 87 |
| Conceptual Developments Deriving from Eternal Inflation | p. 115 |
| Riemann-Cartan Structure of the Spatial Yang-Mills Equations | p. 128 |
| Degeneracy of Resonances and Singularities of the Hypercomplex Energy Surfaces | p. 136 |
| Exotic Smoothness Structures in Physics | p. 146 |
| Nontrivial Fermion States in Supersymmetric Minisuperspace | p. 156 |
| Overview of Inhomogeneous Cosmological Models | p. 163 |
| Spin 3/2 Fields Non-Minimal Coupling from Linearized Gravity | p. 173 |
| Spin Structures Dirac Fields and Lagrangians | p. 193 |
| The Starobinsky Model in a Jordan Brans Dicke Theory | p. 197 |
| Linear, Affine and World Spinors in 3 + 1 Dimensions | p. 207 |
| Atom Beam Interferometry in Gravitational Fields | p. 223 |
| Multidimensional Geometric Theories and Scalar Effects | p. 237 |
| Geometric Phases and Translations | p. 242 |
| Clifford Algebras and Spin Bundles | p. 243 |
| Coupling of the Kaluza-Klein Induced Dilaton Field in the Dirac Equation | p. 253 |
| Classical Equivalence in the Einstein Frame | p. 263 |
| Gravitational and Non-Inertial Effects in Electromagnetic Fields | p. 267 |
| Superspace Supergravity | p. 272 |
| Effective Weinberg-Salam Model from Higher Dimensions | p. 277 |
| The Question of Black Hole Hair in Einstein-Higgs Theory | p. 287 |
| On Topology Change in (2 + 1)-D Gravity with Non-Abelian Higgs Field | p. 294 |
| The Fastest Possible Rate of Decay of Wave Functions | p. 299 |
| Colliding Waves with Noncollinear Polarization in Einstein-Maxwell-Dilaton-Axion Theory | p. 303 |
| Cosmological Solutions that are Stable under Anisotropic Perturbations in Brans-Dicke Theory | p. 311 |
| Influence of a Perfect Fluid on Scalar Field Cosmologies | p. 316 |
| Thermodynamics of Inhomogeneous Cosmological Models | p. 321 |
| Decoherence Due to Massive Vector Fields with Global Symmetries | p. 331 |
| Mathematical Features of Several Cosmological Models | p. 336 |
| Graceful Exit with Viscosity | p. 341 |
| Exact Solutions in Inflationary Theories from Dilaton Gravity | p. 345 |
| How can Supersymmetry be used in a Simple Quantum Cosmological Model | p. 351 |
| Quantum Cosmology for a Quadratic Theory of Gravity | p. 357 |
| Large Scale Structure, Gravitational Waves and Gravitational Lenses | p. 361 |
| Two-Scalar Field Cosmologies | p. 366 |
| Quantization of a Friedmann-Robertson-Walker Model in N=1 Supergravity with Gauged Supermatter | p. 373 |
| Topological Dilatonic Supergravity | p. 379 |
| Creation of Electrically Neutral Massless Particles in a Bertotti-Robinson Universe | p. 384 |
| New Perturbative Approach to Quantum Field Theory | p. 390 |
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