Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebanski : Proceedings of 2002 International Conference

by Garcia-Compean, Hugo; Mielnik, Bogdan; Montesinos, Merced; Przanowski, Maciej

• ISBN13: 9789812700476
• ISBN10: 9812700471
• Format: Hardcover
• Copyright: 2007-08-10
• Publisher: World Scientific Pub Co Inc

Summary

One of modern science's most famous and controversial figures, Jerzy Plebanski was an outstanding theoretical physicist and an author of many intriguing discoveries in general relativity and quantum theory. Known for his exceptional analytic talents, explosive character, inexhaustible energy, and bohernian nights with brandy, coffee, and enormous amounts of cigarettes, he was dedicated to both science and art, producing innumerable handwritten articles -- resembling monk's calligraphy -- as well as a collection of oil paintings. As a collaborator but also an antagonist of Leopold Infeld's (a coauthor of Albert Einstein's), Plebanski is recognized for designing the "heavenly" and "hyper-heavenly" equations, for introducing new variables to describe the gravitational field, for the exact solutions in Einstein's gravity and in quantum theory, for his classification of the tensor of matter, for some outstanding results in nonlinear electrodynamics, and for analyzing general relativity with continuous sources long before Chandrasekhar et al. A tribute to Plebanski's contributions and the variety of his interests, this is a unique and wide-ranging collection of invited papers, covering gravity quantization, strings, branes, supersymmetry, ideas on the deformation quantization, and lesser known results on the continuous Baker-Campbell-Hausdorff problem.

Table of Contents

Preface	p. vii
Historical Data	p. 1
Jerzy Plebanski: The Quest for New Worlds	p. 3
Pleasant Memories with Jerzy Plebanski	p. 23
My Recollections of Jerzy Plebanski	p. 26
Working with Pleban	p. 29
List of Plebanski's Publications	p. 33
Invited Papers (Proceedings Part)	p. 47
Organizing Committee	p. 48
The Higher-Energy Precursor of the AdS/CFT Correspondence	p. 49
How Black Holes Grow	p. 61
Some Theorems Related to the Jacobi Variational Principle of Analytical Dynamics	p. 75
Horizon Structure of Born-Infeld Black Hole	p. 91
Space-Time Torsion Contribution to Quantum Interference Phases	p. 101
Squeezing Operator and Squeeze Tomography	p. 109
A Producer of Universes	p. 121
Moyal Star-Product on a Hilbert Space	p. 137
Null-Kahler Structures, Symmetries and Integrability	p. 147
Helicity Basis and Parity	p. 157
Second Order Supersymmetry Transformations in Quantum Mechanics	p. 167
Generalized Symmetries for the sDiff(2) Toda Equation	p. 177
Differential Equations and Cartan Connections	p. 193
N = 2 String Geometry and the Heavenly Equations	p. 201
Noncommutative Topological and Einstein Gravity from Noncommutative SL(2, C) BF Theory	p. 217
Conservation Laws, Constants of the Motion, and Hamiltonians	p. 233
Electromagnetic Wavelets as Hertzian Pulsed Beams in Complex Spacetime	p. 241
Generalized [kappa]-Deformations and Deformed Relativistic Scalar Fields on Noncommutative Minkowski Space	p. 255
Structure Formation in the Lemaitre-Tolman Cosmological Model (A Non-Perturbative Approach)	p. 279
Ramond-Ramond Fields in Orientifold Backgrounds and K-Theory	p. 291
Large N Field Theories, String Theory and Gravity	p. 301
Yang-Mills Type BRST and co-BRST Algebra for Teleparallelism	p. 317
The Double Role of Einstein's Equations: As Equations of Motion and as Vanishing Energy-Momentum Tensor	p. 325
Alternative Elements in the Cayley-Dickson Algebras	p. 333
Coherent State Map and Deformations of Moyal Product	p. 347
On Uncertainty Relations and States in Deformation Quantization	p. 361
On the Dirac-Infeld-Plebanski Delta Function	p. 373
Mathematical Structures in Perturbation Quantum Field Theory	p. 387
A Note on the Foundation of Relativistic Mechanics: Covariant Hamiltonian General Relativity	p. 397
The Magnus Series	p. 409
Singular Integral Equation Method for the Construction of Cylindrical Wave Solutions of the Einstein-Weyl Equations	p. 425
Geometric POV-Measures, Pseudo-Kahlerian Functions and Time	p. 433
Teleparallelism, Modified Born-Infeld Nonlinearity and Space-Time as a Micromorphic Ether	p. 441
Einstein's Intuition and the Post-Newtonian Approximation	p. 453
Deformation Theory and Physics Model Building	p. 469
Lanczos Potentials via the HH Formalism	p. 489
Spin Foam Model for 3D Gravity in the Continuum	p. 495
Informal Part	p. 503
Ecology of the Riemann Tensor	p. 511
Poem to Prof. Dr. Jerzy F. Plebanski	p. 513
Table of Contents provided by Ingram. All Rights Reserved.