One hundred years of general relativity: a jubilee volume on general relativity and mathematics / ed. by L.Bieri, S.-T.Yau. - Somerville: International press , 2015. - v, 335 p.: ill. - (Surveys in differential geometry; 20 (2015)). - Bibliogr. at the end of the art. - - ISBN 978-1-57146-308-1 Шифр: (Pr 1205/N 20) 02  Место хранения:   02 | Отделение ГПНТБ СО РАН | Новосибирск

Оглавление / Contents

Preface ......................................................... v Beginnings of the Cauchy problem for Einstein's field equations Yvonne Choquet-Bruhat ........................................ 1 On strong cosmic censorship James Isenberg .............................................. 17 Geometric asymptotics and beyond Helmut Friedrich ............................................ 37 Gravitational waves and their memory in general relativity Lydia Bieri, David Garfinkle, Shing-Tung Yau ................ 75 Geometry and physics of null infinity Abhay Ashtekar .............................................. 99 Rigidity results in general relativity: A review Alexandru D. Ionescu, Sergiu Klainerman .................... 123 Decay of linear waves on black hole space-times Daniel Tataru .............................................. 157 Spin geometry and conservation laws in the Kerr spacetime Lars Andersson, Thomas Bäckdahl, Pieter Blue ............... 183 Conserved quantities of harmonic asymptotic initial data sets Po-Ning Chen, Mu-Tao Wang .................................. 227 On proving future stability of cosmological solutions with accelerated expansion Hans Ringström ............................................. 249 An alternative proposal for the anomalous acceleration Joel Smoller, Blake Temple, Zeke Vogler .................... 267 Euclidean-signature semi-classical methods for quantum cosmology Vincent Moncrief ........................................... 277 Geons and the instability of anti-de Sitter spacetime Gary T. Horowitz, Jorge E. Santos .......................... 321