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General Relativity and the Einstein Equations

Yvonne Choquet-Bruhat

Published in print:
2008
Published Online:
May 2009
ISBN:
9780199230723
eISBN:
9780191710872
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230723.001.0001
Subject:
Mathematics, Applied Mathematics

General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these ... More


The Road to Relativity: The History and Meaning of Einstein's "The Foundation of General Relativity", Featuring the Original Manuscript of Einstein's Masterpiece

Hanoch Gutfreund and Jürgen Renn

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175812
eISBN:
9781400865765
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175812.001.0001
Subject:
Physics, History of Physics

This richly annotated facsimile edition of “The Foundation of General Relativity” introduces a new generation of readers to Albert Einstein's theory of gravitation. Written in 1915, this remarkable ... More


A Brief Review of General Relativity

Luciano Rezzolla and Olindo Zanotti

in Relativistic Hydrodynamics

Published in print:
2013
Published Online:
January 2014
ISBN:
9780198528906
eISBN:
9780191746505
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528906.003.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter provides a brief summary of the basic aspects of Einstein’s theory of general relativity. Although not aimed to be comprehensive, a step-by-step presentation of the fundamental ... More


The Charm of a Manuscript

Hanoch Gutfreund and Jürgen Renn

in The Road to Relativity: The History and Meaning of Einstein's "The Foundation of General Relativity", Featuring the Original Manuscript of Einstein's Masterpiece

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175812
eISBN:
9781400865765
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175812.003.0001
Subject:
Physics, History of Physics

This section discusses the story of how Albert Einstein's general theory of relativity evolved into a full-fledged theory. Einstein's manuscript, “The Foundation of General Relativity,” marks the ... More


The Three Relativities

Alvaro De Rújula

in Enjoy Our Universe: You Have No Other Choice

Published in print:
2018
Published Online:
February 2020
ISBN:
9780198817802
eISBN:
9780191859366
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198817802.003.0005
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Galileo’s and Einstein’s Special and General Relativity are introduced. So is the equivalence principle between gravity and acceleration, the basic assumption of general relativity. A first encounter ... More


Shape Dynamics: Relativity and Relationalism

Flavio Mercati

Published in print:
2018
Published Online:
April 2018
ISBN:
9780198789475
eISBN:
9780191831294
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198789475.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Particle Physics / Astrophysics / Cosmology

Shape Dynamics is a new theory of gravity that is based on fewer and more fundamental first principles than General Relativity. The most important feature of this theory is the replacement of ... More


Science as a Sport

Alvaro De Rújula

in Enjoy Our Universe: You Have No Other Choice

Published in print:
2018
Published Online:
February 2020
ISBN:
9780198817802
eISBN:
9780191859366
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198817802.003.0002
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

The question of precedence: who was the first to discover something?  Columbus? Four of the great discoveries by Einstein. His lengthy “game against Nature” in understanding general relativity (he ... More


Physics as an Art Form

Alvaro De Rújula

in Enjoy Our Universe: You Have No Other Choice

Published in print:
2018
Published Online:
February 2020
ISBN:
9780198817802
eISBN:
9780191859366
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198817802.003.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Beauty and simplicity, a scientist’s view. A first encounter with Einstein’s equations of General Relativity, space-time, and Gravity. Ockham’s Razor. Why the Universe is the way it is: The origin of ... More


A derivation of Shape Dynamics

Flavio Mercati

in Shape Dynamics: Relativity and Relationalism

Published in print:
2018
Published Online:
April 2018
ISBN:
9780198789475
eISBN:
9780191831294
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198789475.003.0009
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Particle Physics / Astrophysics / Cosmology

By applying the principles of relational field theory to the gravitational field, and using 3D diffeomorphism invariance as our symmetry principle for best matching, it is feasible to reduce the ... More


Covariant Physics: From Classical Mechanics to General Relativity and Beyond

Moataz H. Emam

Published in print:
2021
Published Online:
May 2021
ISBN:
9780198864899
eISBN:
9780191897313
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198864899.001.0001
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

This book is an introduction to the modern methods of the general theory of relativity, tensor calculus, space time geometry, the classical theory of fields, and a variety of theoretical physics ... More


Introduction

Flavio Mercati

in Shape Dynamics: Relativity and Relationalism

Published in print:
2018
Published Online:
April 2018
ISBN:
9780198789475
eISBN:
9780191831294
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198789475.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Particle Physics / Astrophysics / Cosmology

Shape Dynamics (SD) is a field theory that describes gravity in a different way than General Relativity (GR): it assumes a preferred notion of simultaneity, and the dynamical content of the theory ... More


Riemann and the Sound of Space

Peter Pesic

in Music and the Making of Modern Science

Published in print:
2014
Published Online:
May 2017
ISBN:
9780262027274
eISBN:
9780262324380
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262027274.003.0016
Subject:
Music, History, Western

The separate works of Bernhard Riemann and Hermann von Helmholtz reflected their shared concern with hearing in the context of the problem of space and the physical foundations of geometry. Riemann ... More


On the Bounded L2 Curvature Conjecture

Sergiu Klainerman

Charles Fefferman, Alexandru D. Ionescu, D. H. Phong, and Stephen Wainger (eds)

in Advances in Analysis: The Legacy of Elias M. Stein

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691159416
eISBN:
9781400848935
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691159416.003.0010
Subject:
Mathematics, Numerical Analysis

This chapter deals with a fundamental application of new methods to a geometric quasilinear equation to settle an important conjecture in General Relativity. According to the bounded L² curvature ... More


A Brief History of Cosmology

John Iliopoulos

in The Origin of Mass: Elementary Particles and Fundamental Symmetries

Published in print:
2017
Published Online:
December 2017
ISBN:
9780198805175
eISBN:
9780191843259
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198805175.003.0002
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, History of Physics

We present the evolution of our ideas concerning the history of the Cosmos. They are based on Einstein’s theory of General Relativity in which E.P. Hubble and G. Lemaître brought two fundamental new ... More


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