Contents -- Preface -- Dynamic, Viscous, Self-Screening Hawking Atmosphere -- 1 Introduction -- 2 Einstein's equations -- 3 Discussion on the solutions of the equations -- 4 Concluding remarks -- References -- Gravitational Interaction of Higher Spin Massive Fields and String Theory -- 1 Introduction -- 2 Massive spin 2 field on specific manifolds -- 3 Consistent equations in arbitrary gravitational background -- 4 String theory in background of massive spin 2 field -- References -- Invariants of Chern-Simons Theory Associated with Hyperbolic Manifolds -- 1 Introduction -- 2 The index theorem and the classical contribution to the partition function -- 3 One-loop contribution and associated invariants -- 4 Concluding remarks -- References -- Localization of Equivariant Cohomology - Introductory and Expository Remarks -- 1 Introduction -- 2 The equivariant cohomology space H(M,X,s) -- 3 The localization formula -- 4 The class [eCTX] -- 5 The Duistermaat-Heckman Formula -- Appendix -- References -- The Extremal Limit of D-Dimensional Black Holes -- References -- On the Dimensional Reduced Theories -- Fractal Statistics, Fractal Index and Fractons -- Quantum Field Theory from First Principles -- T-Duality of Axial and Vector Dyonic Integrable Models -- 1 Introduction -- 2 Gauged WZNW Construction of NA Toda Models -- 3 The Bn(1) Torsionless NA Toda model -- 4 The twisted NA Toda Models -- 5 Zero Curvature -- 6 Conclusions -- References -- Duffin-Kemmer-Petiau Equation in Riemannian Space-Times -- 1 Introduction -- 2 DKP equation in Minkowski space-time -- 3 Passage to Riemannian space-times -- 4 The equivalence with KG and Proca equations -- 5 Conclusions and comments -- References.

Weak Scale Compactification and Constraints on Non-Newtonian Gravity in Submillimeter Range -- 1 Introduction -- 2 Corrections to Newtonian Gravity in the Theories with a Weak Unification Scale -- 3 What Constraints are Known up to Date? -- 4 Constraints from the Recent Measurement of the Casimir Force Between Gold Coated Lens and Disk -- 5 Conclusions and Discussion -- References -- Finite Action, Holographic Conformal Anomaly and Quantum Brane-Worlds in D5 Gauged Supergravity -- 1 Introduction -- 2 Holografic Weyl anomaly for gauged supergravity with general dilaton potential -- 3 Surface Counterterms and Finite Action -- 4 Comparison with other counterterm schemes and holografic RG -- 5 Dilatonic brane-world inflation induced by quantum effects: Constant bulk potential -- 6 Discussion -- Appendix A Remarks on boundary values -- References -- Quantum Group SUQ(2) and Pairing in Nuclei -- 1 Quasi-Spin operators and Seniority Scheme -- 2 Nucleon Pairs with q-deformation -- 3 RPA with q-deformed nucleon pairs and q-deformed Quasi-particle pairs -- 4 Gap equation in qBCS and the Ground State Energy -- 5 Acknowledgments -- References -- Some Topological Considerations about Defects on Nematic Liquid Crystals -- 1 INTRODUCTION -- 2 AXIAL DISCLINATIONS AND THE MICROSCOPIC NATURE OF THE LIQUID CRYSTALS -- 3 THE BRANCH-CUT -- 4 THE OUT-OF-PLANE-TILT -- 5 CONCLUSION -- REFERENCES -- Non-Linear Realizations and Bosonic Branes -- 1 The Theory of Non-linear Realizations -- 2 Bosonic Branes -- Calculation of Bosonic Matter Fields on an N-Sphere -- 1 Introduction -- 2 The Laplace-Beltrami operator and the Klein-Gordon operator -- 3 Solutions of the radial equation (2.20) -- Appendix -- References.