ALBERT EINSTEIN: AND THE FRONTIERS OF PHYSICS
CONTENTS PART I GRAVITY AND PRAGUE KEPLER AND MACH S PRINCIPLE 3 EINSTEIN IN PRAGUE RELATIVITY THEN AND NOW 33 PART II CLASSICAL GENERAL RELATIVITY OBSERVERS OBSERVABLES AND MEASUREMENTS IN GENERAL RELATIVITY 67 SOME LINKS BETWEEN GENERAL RELATIVITY AND OTHER PARTS OF PHYSICS 91 THE GENERAL RELATIVISTIC TWO BODY PROBLEM AND THE EFFECTIVE ONE BODY FORMALISM 111 GRAVITATIONAL SELF FORCE ORBITAL MECHANICS BEYOND GEODESIC MOTION 147 HAMILTONIAN FORMALISM FOR SPINNING BLACK HOLES IN GENERAL RELATIVITY 169 STABILITY OF MARGINALLY OUTER TRAPPED SURFACES AND GEOMETRIC INEQUALITIES 191 STATIONARY BLACK HOLE BINARIES A NON EXISTENCE PROOF 209 DYNAMIC AND THERMODYNAMIC STABILITY OF BLACK HOLES AND BLACK BRANES 229 INSTABILITY OF ANTI DE SITTER SPACETIME 239 HIGHER DIMENSIONAL BLACK HOLES 245 BLACK HOLES HIDDEN SYMMETRY AND COMPLETE INTEGRABILITY BRIEF REVIEW 261 PART III COSMOLOGY AND QUANTUM GRAVITY COSMOLOGICAL MODELS AND STABILITY 277 IN ATION AND BIRTH OF COSMOLOGICAL PERTURBATIONS 305 LOOP QUANTUM GRAVITY AND THE PLANCK REGIME OF COSMOLOGY 323 THE IN ATIONARY ORIGIN OF THE SEEDS OF COSMIC STRUCTURE QUANTUM THEORY AND THE NEED FOR NOVEL PHYSICS 349 QUANTUM GRAVITY THE VIEW FROM PARTICLE PHYSICS 369 PART IV NUMERICAL RELATIVITY AND RELATIVISTIC ASTROPHYSICS THREE LITTLE PIECES FOR COMPUTER AND RELATIVITY 391 INSTABILITIES OF RELATIVISTIC STARS 427 GRAVITY TALKS OBSERVING THE UNIVERSE WITH GRAVITATIONAL WAVES 459 LISA IN 2012 AND BEYOND 20 YEARS AFTER THE FIRST PROPOSAL 477 EINSTEIN S GRAVITY AS SEEN BY A COSMIC LIGHTHOUSE KEEPER 483 THE ASTROPHYSICAL SIGNATURES OF BLACK HOLES THE HORIZON THE ISCO THE ERGOSPHERE AND THE LIGHT CIRCLE 501 ENERGY EXTRACTION FROM SPINNING BLACK HOLES VIA RELATIVISTIC JETS 523 PART I GRAVITY AND PRAGUE 1