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One hundred years of general relativity : a jubilee volume on general relativity and mathematics / [edited by] Lydia Bieri and Shing-Tung Yau.

Contributor(s): Material type: TextTextSeries: Surveys in differential geometry ; v 20.Publication details: Somerville, Massachusetts : International Press of Boston, Inc., 2015.Description: vii, 335 p. : illustrations (some color) ; 26 cmISBN:
  • 9781571463081
Subject(s): DDC classification:
  • 516.36 23 B588
Contents:
Beginnings of the Cauchy problem for Einstein's field equations / Yvonne Choquet-Bruhat -- On strong cosmic censorship / James Isenberg -- Geometric asymptotics and beyond / Helmut Freidrich -- Gravitational waves and their memory in general relativity / Lydia Bieri, David Garflinkle, Shing-Tung Yau -- Geometry and the physics of null infinity / Abhay Ashtekar -- Rigidity results in general relativity : a review / Alexandru D. Ionescu, Sergiu Klainerman -- Decay of linear waves on black hole space-times / Daniel Tataru -- Spin geometry and conservation laws in the Kerr spacetime / Lars Andersson, Thomas Bäckdahl, Pieter Blue -- Conserved quantities of harmonic asympotic inital data sets / Po-Ning Chen, Mu-Tao Wang -- On proving future stability of cosmological solutions with accelerated expansion / Hans Ringström -- An alternative proposal for the anomalous acceleration / Joel Smoller, Blake Temple, Zeke Vogler -- Euclidean-signature semi-classical methods for quantum cosmology / Vincent Moncrief -- Geons and the instability of anti-de Sitter spacetime / Gary T. Horowitz, Jorge E. Santos.
Summary: "This volume includes 13 articles presenting aspects of the most important general relativity research of the past 100 years. Among them we find cosmological and non-cosmological questions, the Cauchy problem for Einstein equations, stability results, black holes and their formation, gravitational waves and their memory effect, the concept of energy, and the asymptotics of spacetimes"--
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Includes bibliographical references.

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

"This volume includes 13 articles presenting aspects of the most important general relativity research of the past 100 years. Among them we find cosmological and non-cosmological questions, the Cauchy problem for Einstein equations, stability results, black holes and their formation, gravitational waves and their memory effect, the concept of energy, and the asymptotics of spacetimes"--

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