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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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