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The View from General Relativity

Harvey R. Brown

in Physical Relativity: Space-time structure from a dynamical perspective

Published in print:
2005
Published Online:
September 2006
ISBN:
9780199275830
eISBN:
9780191603914
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199275831.003.0009
Subject:
Philosophy, Philosophy of Science

In his 1923 book The Mathematical Theory of Relativity, Arthur Eddington distinguished between two chains of reasoning in general relativity. The first familiar one starts with the existence of the ... More


The principle of equivalence

Ta-Pei Cheng

in Relativity, Gravitation and Cosmology: A Basic Introduction

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199573639
eISBN:
9780191722448
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573639.003.0004
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

After a review of the Newtonian theory of gravitation in terms of its potential function, we start the study of general relativity (GR) with the introduction of the equivalence principle (EP). The ... More


Indeterminacy

Alexis G. Burgess and John P. Burgess

in Truth

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691144016
eISBN:
9781400838691
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691144016.003.0004
Subject:
Philosophy, General

This chapter examines how the notion of indeterminacy challenges the equivalence principle (“Saying something is true is equivalent to just saying it”). Indeterminacy involves cases where we have a ... More


Linear Quadratic Approximations: An Introduction

Javier Díaz‐Giménez

in Computational Methods for the Study of Dynamic Economies

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199248278
eISBN:
9780191596605
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199248273.003.0002
Subject:
Economics and Finance, Macro- and Monetary Economics

This is a brief introduction to dynamic programming and the method of using linear quadratic (LQ) approximations to the return function; the method is an approximation because it computes the ... More


Relativity, Gravitation and Cosmology: A Basic Introduction

Ta-Pei Cheng

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199573639
eISBN:
9780191722448
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573639.001.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Einstein's general theory of relativity is introduced in this advanced undergraduate and beginning graduate level textbook. Topics include special relativity, the principle of equivalence, Riemannian ... More


Atomic Forces and Tunneling

C. Julian Chen

in Introduction to Scanning Tunneling Microscopy: Second Edition

Published in print:
2007
Published Online:
September 2007
ISBN:
9780199211500
eISBN:
9780191705991
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211500.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

This chapter presents a unified theory of tunneling phenomenon and covalent bond force, as a result of the similarity between the Bardeen theory of tunneling and the Herring-Landau theory of the ... More


The universe: its structure and evolution

A. J. Leggett

in The Problems of Physics

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199211241
eISBN:
9780191706837
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211241.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter starts by emphasizing that we can construct a picture of the universe as a whole only by extrapolating the laws of physics as we know them on earth to conditions almost unimaginably ... More


Insolubility?

Alexis G. Burgess and John P. Burgess

in Truth

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691144016
eISBN:
9781400838691
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691144016.003.0008
Subject:
Philosophy, General

This chapter examines the more purely philosophical aspect of the question of the paradoxes of truth. It first considers a particular paradoxical derivation that uses the equivalence principle not in ... More


Einstein’s Intellectual Odyssey to General Relativity

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/9780691175812.003.0002
Subject:
Physics, History of Physics

This section discusses the development of Albert Einstein's ideas and attitudes as he struggled for eight years to come up with a general theory of relativity that would meet the physical and ... More


A College Course on Relativity and Cosmology

Ta-Pei Cheng

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199693405
eISBN:
9780191803130
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199693405.001.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This book introduces Einstein’s general theory of relativity. Topics include the geometric formulation of special relativity, the principle of equivalence, the Einstein field equation and its ... More


Gravity as geometry

Steven Carlip

in General Relativity: A Concise Introduction

Published in print:
2019
Published Online:
March 2019
ISBN:
9780198822158
eISBN:
9780191861215
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198822158.003.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

General relativity describes gravity as a byproduct of the geometry of spacetime. This chapter explains why this notion makes sense, introducing the principle of equivalence and the universality of ... More


Equivalence of Gravitation and Inertia

Ta-Pei Cheng

in A College Course on Relativity and Cosmology

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199693405
eISBN:
9780191803130
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199693405.003.0004
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

After a review of the Newtonian theory of gravitation in terms of its potential function, this chapter starts the study of general relativity (GR) with the introduction of the equivalence principle ... More


Towards a general theory of relativity

Ta-Pei Cheng

in Einstein's Physics: Atoms, Quanta, and Relativity - Derived, Explained, and Appraised

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199669912
eISBN:
9780191744488
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199669912.003.0012
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

In general relativity (GR) physics laws are not changed under general coordinate transformations. Among Einstein’s motivation for GR was his wish to have a deeper understanding of the empirically ... More


The Equivalence Principle

David M. Wittman

in The Elements of Relativity

Published in print:
2018
Published Online:
August 2018
ISBN:
9780199658633
eISBN:
9780191863653
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199658633.003.0013
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

The equivalence principle is an important thinking tool to bootstrap our thinking from the inertial coordinate systems of special relativity to the more complex coordinate systems that must be used ... More


Generalization of Gravitation Theory

Hanoch Gutfreund and Jürgen Renn

in The Formative Years of Relativity: The History and Meaning of Einstein's Princeton Lectures

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691174631
eISBN:
9781400888689
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691174631.003.0022
Subject:
Physics, History of Physics

This chapter attempts to formulate a consistent extension of the theory of general relativity. The starting point of the general theory of relativity is the recognition of the unity of gravitation ... More


General Relativity: A Field Theory of Gravitation

Laurent Baulieu, John Iliopoulos, and Roland Sénéor

in From Classical to Quantum Fields

Published in print:
2017
Published Online:
May 2017
ISBN:
9780198788393
eISBN:
9780191830310
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198788393.003.0004
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

General relativity. The equivalence principle and the derivation of the Einstein–Hilbert equations. The geometrical notions of curvature and affine connection are introduced. Geodesics and the ... More


The Lens of Gravity

David D. Nolte

in Galileo Unbound: A Path Across Life, the Universe and Everything

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198805847
eISBN:
9780191843808
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198805847.003.0007
Subject:
Physics, History of Physics

This chapter describes how gravity provided the backdrop for one of the most important paradigm shifts in the history of physics. Prior to Albert Einstein’s general theory of relativity, trajectories ... More


Introduction

Bahram Mashhoon

in Nonlocal Gravity

Published in print:
2017
Published Online:
July 2017
ISBN:
9780198803805
eISBN:
9780191842313
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198803805.003.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This introductory chapter is mainly about the locality postulate of the standard relativity theory. The fundamental laws of microphysics have been formulated with respect to inertial observers. ... More


Prices, Efficiency, and Macroeconomics

Kartik B. Athreya

in Big Ideas in Macroeconomics: A Nontechnical View

Published in print:
2013
Published Online:
May 2014
ISBN:
9780262019736
eISBN:
9780262314404
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262019736.003.0003
Subject:
Economics and Finance, Macro- and Monetary Economics

This chapter describes two of the three most influential findings macroeconomics has available to it. One is known as the First Fundamental Theorem of Welfare Economics, or the “invisible-hand” ... More


Toward Nonlocal Gravitation

Bahram Mashhoon

in Nonlocal Gravity

Published in print:
2017
Published Online:
July 2017
ISBN:
9780198803805
eISBN:
9780191842313
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198803805.003.0004
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

Is gravity nonlocal? Einstein interpreted the principle of equivalence of inertial and gravitational masses to mean that there exists a profound relationship between inertia and gravitation. Based on ... More


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