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1 - 100 Years of General Relativity

from Part One - Einstein's Triumph

Published online by Cambridge University Press:  05 June 2015

By
George F. R. Ellis
Edited by
Abhay Ashtekar ,
Beverly K. Berger ,
James Isenberg  and
Malcolm MacCallum
George F. R. Ellis
Affiliation:
University of Cape Town
Abhay Ashtekar
Affiliation:
Pennsylvania State University
Beverly K. Berger
Affiliation:
Formerly Program Director for Gravitational Physics, National Science Foundation
James Isenberg
Affiliation:
University of Oregon
Malcolm MacCallum
Affiliation:
University of Bristol
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Summary

This chapter aims to provide a broad historical overview of the major developments in General Relativity Theory (‘GR’) after the theory had been developed in its final form. It will not relate the well-documented story of the discovery of the theory by Albert Einstein, but rather will consider the spectacular growth of the subject as it developed into a mainstream branch of physics, high-energy astrophysics, and cosmology. Literally hundreds of exact solutions of the full non-linear field equations are now known, despite their complexity [1]. The most important ones are the Schwarzschild and Kerr solutions, determining the geometry of the solar system and of black holes (Section 1.2), and the Friedmann–Lemaître– Robertson–Walker solutions, which are basic to cosmology (Section 1.4). Perturbations of these solutions make them the key to astrophysical applications.

Rather than tracing a historical story, this chapter is structured in terms of key themes in the study and application of GR:

  1. The study of dynamic geometry (Section 1.1) through development of various technical tools, in particular the introduction of global methods, resulting in global existence and uniqueness theorems and singularity theorems.

  2. The study of the vacuum Schwarzschild solution and its application to the Solar system (Section 1.2), giving very accurate tests of general relativity, and underlying the crucial role of GR in the accuracy of useful GPS systems.

  3. The understanding of gravitational collapse and the nature of Black Holes (Section 1.3), with major applications in astrophysics, in particular as regards quasi-stellar objects and active galactic nuclei.

  4. The development of cosmological models (Section 1.4), providing the basis for our understandings of both the origin and evolution of the universe as a whole, and of structure formation within it.

  5. The study of gravitational lensing and its astronomical applications, including detection of dark matter (Section 1.5).

  6. Theoretical studies of gravitational waves, in particular resulting in major developments in numerical relativity (Section 1.6), and with development of gravitational wave observatories that have the potential to become an essential tool in precision cosmology.

Type
Chapter
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General Relativity and Gravitation
A Centennial Perspective
 , pp. 10 - 48
Publisher: Cambridge University Press
Print publication year: 2015

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