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GR as a geometric theory of gravity – I

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/9780199573639.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

A geometric description of equivalence principle physics of gravitational time dilation is presented. In this geometric theory, the metric plays the role of relativistic gravitational potential. ... More


Metric description of a curved space

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/9780199573639.003.0005
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Einstein's new theory of gravitation is formulated in a geometric framework of curved spacetime. Here the subject of non-Euclidean geometry is introduced by way of Gauss's theory of curved surfaces. ... More


Axioms for QM∞

Laura Ruetsche

in Interpreting Quantum Theories

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199535408
eISBN:
9780191728525
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535408.003.0005
Subject:
Philosophy, Philosophy of Science

This chapter employs the mathematical apparatus developed in Chapter 4 to present several sets of axioms supposed to govern quantum field theory in Minkowski spacetime, quantum field theory in curved ... More


General Relativity as a Geometric Theory of Gravity

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/9780199693405.003.0005
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

The mathematics of a curved manifold is Riemannian geometry. This chapter first presents some basic elements of Gaussian coordinates and the metric tensor. From the requirement that a curve have the ... More


General Relativity

Nicholas Manton and Nicholas Mee

in The Physical World: An Inspirational Tour of Fundamental Physics

Published in print:
2017
Published Online:
July 2017
ISBN:
9780198795933
eISBN:
9780191837111
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198795933.003.0007
Subject:
Physics, Condensed Matter Physics / Materials

This chapter presents the physical motivation for general relativity, derives the Einstein field equation and gives concise derivations of the main results of the theory. It begins with the ... More


Introduction and overview

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/9780199573639.003.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Relativity means that physically it is impossible to detect absolute motion. This can be stated as a “symmetry in physics”. Special relativity (SR) is the symmetry with respect to coordinate ... More


General Covariance

Moataz H. Emam

in Covariant Physics: From Classical Mechanics to General Relativity and Beyond

Published in print:
2021
Published Online:
May 2021
ISBN:
9780198864899
eISBN:
9780191897313
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198864899.003.0005
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

The general theory of relativity is introduced based on the principle of equivalence. Gravity is shown to arise dues to spacetime curvature. Specific examples of curved spacetimes are presented from ... More


Quantum fields in curved spacetime: renormalization

Iosif L. Buchbinder and Ilya L. Shapiro

in Introduction to Quantum Field Theory with Applications to Quantum Gravity

Published in print:
2021
Published Online:
April 2021
ISBN:
9780198838319
eISBN:
9780191874666
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198838319.003.0013
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

In this chapter, which forms the central chapter of Part II, the effective action of quantum matter fields in curved spacetime is formulated in terms of functional integrals. A qualitative, albeit ... More


Classical fields in curved spacetime

Iosif L. Buchbinder and Ilya L. Shapiro

in Introduction to Quantum Field Theory with Applications to Quantum Gravity

Published in print:
2021
Published Online:
April 2021
ISBN:
9780198838319
eISBN:
9780191874666
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198838319.003.0012
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This chapter discusses classical fields in an arbitrary Riemann spacetime. General considerations are followed by the formulation of scalar fields with non-minimal coupling. Spontaneous symmetry ... More


Macroscopic scale atom interferometers: introduction, techniques, and applications

Tim Kovachy, Alex Sugarbaker, Remy Notermans, Peter Asenbaum, Chris Overstreet, Jason M. Hogan, and Mark A. Kasevich

in Current Trends in Atomic Physics

Published in print:
2019
Published Online:
July 2019
ISBN:
9780198837190
eISBN:
9780191873973
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198837190.003.0006
Subject:
Physics, Atomic, Laser, and Optical Physics, Particle Physics / Astrophysics / Cosmology

This chapter introduces the fundamental principles and some of the applications of light-pulse atom interferometry. It includes tutorials on various atom optics techniques and on interferometer phase ... More


Matter in curved spacetime

Nathalie Deruelle and Jean-Philippe Uzan

in Relativity in Modern Physics

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198786399
eISBN:
9780191828669
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198786399.003.0043
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter is concerned with the laws of motion of matter—particles, fluids, or fields—in the presence of an external gravitational field. In accordance with the equivalence principle, this motion ... More


Why quantum gravity?

Claus Kiefer

in Quantum Gravity: Third Edition

Published in print:
2012
Published Online:
May 2012
ISBN:
9780199585205
eISBN:
9780191739378
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199585205.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This introductory chapter presents the general motivations for constructing a quantum theory of gravity. The main argument is the conceptual incompleteness of present theoretical physics. The chapter ... More


Introduction to Quantum Field Theory with Applications to Quantum Gravity

Iosif L. Buchbinder and Ilya Shapiro

Published in print:
2021
Published Online:
April 2021
ISBN:
9780198838319
eISBN:
9780191874666
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198838319.001.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This book focuses on quantum field theory and its application to gravitational physics, in both semiclassical and full quantum frameworks, with special attention paid to renormalization, gauge ... More


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