Topics In Mathematical Physics General Relativity And Cosmology In Honor Of Jerzy Plebanski - Proceedings Of 2002 International Conference

by Bogdan Mielnik, Hugo Garcia-compean, Merced Montesinos, Maciej Przanowski

Overview

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 bohemian 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 Plebański'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.

Product Details

ISBN-13:	9789812700476
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	08/10/2006
Pages:	528
Product dimensions:	7.20(w) x 10.00(h) x 1.30(d)

Table of Contents

Preface     vii
Historical Data     1
Jerzy Plebanski: The Quest for New Worlds   H. Garcia-Compean   B. Mielnik   M. Montesinos   M. Przanowski     3
Pleasant Memories with Jerzy Plebanski   D. Finley     23
My Recollections of Jerzy Plebanski   A. Trautman     26
Working with Pleban   I. Robinson     29
List of Plebanski's Publications     33
Invited Papers (Proceedings Part)     47
Organizing Committee     48
The Higher-Energy Precursor of the AdS/CFT Correspondence   X. Amador   E. Caceres   H. Garcia-Compean   A. Guijosa     49
How Black Holes Grow   A. Ashtekar     61
Some Theorems Related to the Jacobi Variational Principle of Analytical Dynamics   S. L. Bazanski     75
Horizon Structure of Born-Infeld Black Hole   N. Breton     91
Space-Time Torsion Contribution to Quantum Interference Phases   A. Camacho   A. Macias     101
Squeezing Operator and Squeeze Tomography   O. Castanos   R. Lopez-Pena   M. A. Man'ko   V. I. Man'ko     109
A Producer of Universes   R. Cordero   E. Rojas     121
Moyal Star-Product on a Hilbert Space   G. Dito     137
Null-Kahler Structures, Symmetries and Integrability   M. Dunajski   M. Przanowski     147
Helicity Basis and Parity   V. V. Dvoeglazov     157
Second Order Supersymmetry Transformations in Quantum Mechanics   D. J. Fernandez C.   A. Ramos     167
Generalized Symmetries for the sDiff(2) Toda Equation   D. Finley & J. K. Mciver     177
Differential Equations and Cartan Connections   S. Frittelli   C. Kozameh   E. T. Newman   P. Nurowski     193
N = 2 String Geometry and the Heavenly Equations   H. Garcia-Compean     201
Noncommutative Topological and Einstein Gravity from Noncommutative SL(2, C) BF Theory   H. Garcia-Compean   O. Obregon   C. Ramirez   M. Sabido     217
Conservation Laws, Constants of the Motion, and Hamiltonians   J. Goldberg     233
Electromagnetic Wavelets as Hertzian Pulsed Beams in Complex Spacetime   G. Kaiser     241
Generalized [kappa]-Deformations and Deformed Relativistic Scalar Fields on Noncommutative Minkowski Space   P. Kosinski   P. Maslanka   J. Lukierski   A. Sitarz     255
Structure Formation in the Lemaitre-Tolman Cosmological Model (A Non-Perturbative Approach)   A. Krasinski   C. Hellaby     279
Ramond-Ramond Fields in Orientifold Backgrounds and K-Theory   O. Loaiza-Brito     291
Large N Field Theories, String Theory and Gravity   J. Maldacena     301
Yang-Mills Type BRST and co-BRST Algebra for Teleparallelism   E. W. Mielke   A. A. Rincon Maggiolo     317
The Double Role of Einstein's Equations: As Equations of Motion and as Vanishing Energy-Momentum Tensor   M. Montesinos     325
Alternative Elements in the Cayley-Dickson Algebras   G. Moreno     333
Coherent State Map and Deformations of Moyal Product   A. Odzijewicz     347
On Uncertainty Relations and States in Deformation Quantization   M. Przanowski   F. J. Turrubiates     361
On the Dirac-Infeld-Plebanski Delta Function   O. Rosas-Ortiz     373
Mathematical Structures in Perturbation Quantum Field Theory   M. Rosenbaum     387
A Note on the Foundation of Relativistic Mechanics: Covariant Hamiltonian General Relativity   C. Rovelli     397
The Magnus Series   L. Saenz   R. Suarez      409
Singular Integral Equation Method for the Construction of Cylindrical Wave Solutions of the Einstein-Weyl Equations   N. R. Sibgatullin   A. A. Garcia   V. S. Manko     425
Geometric POV-Measures, Pseudo-Kahlerian Functions and Time   M. Skulimowski     433
Teleparallelism, Modified Born-Infeld Nonlinearity and Space-Time as a Micromorphic Ether   J. J. Slawianowski     441
Einstein's Intuition and the Post-Newtonian Approximation   J. Stachel     453
Deformation Theory and Physics Model Building   D. Sternheimer     469
Lanczos Potentials via the HH Formalism   G. F. Torres del Castillo     489
Spin Foam Model for 3D Gravity in the Continuum   J. A. Zapata     495
Informal Part     503
Ecology of the Riemann Tensor   B. Mielnik     511
Poem to Prof. Dr. Jerzy F. Plebanski   N. V. Mitskievich (Mickiewicz)     513