Asymptotic Analysis in General Relativity

doi:10.1017/9781108186612

This volume compiles notes from four mini courses given at the summer school on asymptotic analysis in general relativity, held at the Institut Fourier in Grenoble, France. It contains an up-to-date panorama of modern techniques in the asymptotic analysis of classical and quantum fields in general relativity. Accessible to graduate students, these notes gather results that were not previously available in textbooks or monographs and will be of wider interest to researchers in general relativity. The topics of these mini courses are: the geometry of black hole spacetimes; an introduction to quantum field theory on curved spacetimes; conformal geometry and tractor calculus; and microlocal analysis for wave propagation.

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Contents

Frontmatter
pp i-iv
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Contents
pp v-vi
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1 - Introduction to Modern Methods for Classical and Quantum Fields in General Relativity
pp 1-8
- By Thierry Daudé, Université de Cergy-Pontoise, Dietrich Häfner, Université Grenoble Alpes, Jean-Philippe Nicolas, Université de Bretagne Occidentale
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2 - Geometry of Black Hole Spacetimes
pp 9-85
- By Lars Andersson, Albert Einstein Institute, Thomas Bäckdahl, Chalmers University of Technology, Pieter Blue, University of Edinburgh
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3 - An Introduction to Conformal Geometry and Tractor Calculus, with a view to Applications in General Relativity
pp 86-170
- By Sean N. Curry, The University of Auckland, A. Rod Gover, The University of Auckland
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4 - An Introduction to Quantum Field Theory on Curved Spacetimes
pp 171-218
- By Christian Gérard, Université de Paris XI
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5 - A Minicourse on Microlocal Analysis for Wave Propagation
pp 219-374
- By András Vasy, Stanford University
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Asymptotic Analysis in General Relativity

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

1 - Introduction to Modern Methods for Classical and Quantum Fields in General Relativity
pp 1-8

2 - Geometry of Black Hole Spacetimes
pp 9-85

3 - An Introduction to Conformal Geometry and Tractor Calculus, with a view to Applications in General Relativity
pp 86-170

4 - An Introduction to Quantum Field Theory on Curved Spacetimes
pp 171-218

5 - A Minicourse on Microlocal Analysis for Wave Propagation
pp 219-374

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Book summary page views

Accessibility standard: Unknown

Why this information is here

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Asymptotic Analysis in General Relativity

Book description

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Contents

Frontmatter pp i-iv

Contents pp v-vi

1 - Introduction to Modern Methods for Classical and Quantum Fields in General Relativity pp 1-8

2 - Geometry of Black Hole Spacetimes pp 9-85

3 - An Introduction to Conformal Geometry and Tractor Calculus, with a view to Applications in General Relativity pp 86-170

4 - An Introduction to Quantum Field Theory on Curved Spacetimes pp 171-218

5 - A Minicourse on Microlocal Analysis for Wave Propagation pp 219-374

Metrics

Altmetric attention score

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information

Frontmatter
pp i-iv

Contents
pp v-vi

1 - Introduction to Modern Methods for Classical and Quantum Fields in General Relativity
pp 1-8

2 - Geometry of Black Hole Spacetimes
pp 9-85

3 - An Introduction to Conformal Geometry and Tractor Calculus, with a view to Applications in General Relativity
pp 86-170

4 - An Introduction to Quantum Field Theory on Curved Spacetimes
pp 171-218

5 - A Minicourse on Microlocal Analysis for Wave Propagation
pp 219-374