Topics in GR and cosmology, in honor of J.Plebanski(WS 2006)

Hugo Garcia-Compean, Bogdan Mielnik, Merced Montesinos, Maciej Przanowski9812700471, 9789812700476, 9789812772732

One of modern science’s most famous and controversial figures, Jerzy Pleba ski 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”), Pleba ski 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 Pleba ski’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.

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Table of contents :
CONTENTS……Page 10
Preface……Page 8
Part I. Historical Data……Page 13
Jerzy Plebanski: The Quest for New Worlds……Page 15
Pleasant Memories with Jerzy Plebanski……Page 35
My Recollections of Jerzy Plebanski……Page 38
Working with Pleban……Page 41
List of Plebanski’s Publications……Page 45
Part II. Invited Papers (Proceedings Part)……Page 59
Organizing Committee……Page 60
The Higher-Energy Precursor of the AdS/CFT Correspondence……Page 61
How Black Holes Grow……Page 73
Some Theorems Related to the Jacobi Variational Principle of Analytical Dynamics……Page 87
Horizon Structure of Born-Infeld Black Hole……Page 103
Space-Time Torsion Contribution to Quantum Interference Phases……Page 113
Squeezing Operator and Squeeze Tomography……Page 121
A Producer of Universes……Page 133
Moyal Star-Product on a Hilbert Space……Page 149
Null-Kahler Structures Symmetries and Integrability……Page 159
Helicity Basis and Parity……Page 169
Second Order Supersymmetry Transformations in Quantum Mechanics……Page 179
Generalized Symmetries for the sDiff(2) Toda Equation……Page 189
Differential Equations and Cartan Connections……Page 205
N = 2 String Geometry and the Heavenly Equations……Page 213
Noncommutative Topological and Einstein Gravity from Noncommutative SL(2 C) BF Theory……Page 229
Conservation Laws Constants of the Motion and Hamiltonians……Page 245
Electromagnetic Wavelets as Hertzian Pulsed Beams in Complex Spacetime……Page 253
Generalized K-Deformations and Deformed Relativistic Scalar Fields on Noncommutative Minkowski Space……Page 267
Structure Formation in the Lemaitre-Tolman Cosmological Model (A Non-Perturbative Approach)……Page 291
Ramond-Ramond Fields in Orientifold Backgrounds and K-Theory……Page 303
Large N Field Theories String Theory and Gravity……Page 313
Yang-Mills Type BRST and co-BRST Algebra for Teleparallelism……Page 329
The Double Role of Einstein’s Equations: As Equations of Motion and as Vanishing Energy-Momentum Tensor……Page 337
Alternative Elements in the Cayley-Dickson Algebras……Page 345
Coherent State Map and Deformations of Moyal Product……Page 359
On Uncertainty Relations and States in Deformation Quantization……Page 373
On the Dirac-Infeld-Plebanski Delta Functionr……Page 385
Mathematical Structures in Perturbation Quantum Field Theory……Page 399
A Note on the Foundation of Relativistic Mechanics: Covariant Hamiltonian General Relativity……Page 409
The Magnus Series……Page 421
Singular Integral Equation Method for the Construction of Cylindrical Wave Solutions of the Einstein-Weyl Equations……Page 437
Geometric POV-Measures Pseudo-Kahlerian Functions and Time……Page 445
Teleparallelism Modified Born-Infeld Nonlinearity and Space-Time as a Micromorphic Ether……Page 453
Einstein’s Intuition and the Post-Newtonian Approximation……Page 465
Deformation Theory and Physics Model Building……Page 481
Lanczos Potentials via the HH Formalism……Page 501
Spin Foam Model for 3D Gravity in the Continuum……Page 507
Part III. Informal Part……Page 515
Ecology of the Riemann Tensor……Page 523
Poem to Prof. Dr. Jerzy F. Plebanski……Page 525