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Asymptotic Analysis in General Relativity 1st Edition by Thierry Daude ISBN 1316649407 9781316649404

Name: Asymptotic Analysis in General Relativity 1st Edition by Thierry Daude ISBN 1316649407 9781316649404
SKU: EB-6984956
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Asymptotic Analysis in General Relativity 1st Edition Thierry Daudé Digital Instant Download

Author(s): Thierry Daudé, Dietrich Häfner, Jean-Philippe Nicolas

ISBN(s): 9781316649404, 1316649407

Edition: 1

File Details: PDF, 3.00 MB

Year: 2018

Language: English

SKU: EB-6984956 Category: Physics Tags: Dietrich Häfner, Jean-Philippe Nicolas, Thierry Daudé

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Asymptotic Analysis in General Relativity 1st Edition by Thierry Daude – Ebook PDF Instant Download/Delivery: 1316649407, 9781316649404
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ISBN 10: 1316649407
ISBN 13: 9781316649404
Author: Thierry Daude

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.

Asymptotic Analysis in General Relativity 1st Table of contents:

Chapter 1: Fundamentals of General Relativity
Key concepts and equations of general relativity, including the Einstein field equations.
Chapter 2: Asymptotic Behavior of Spacetime Metrics
Exploring the asymptotic structure of spacetime and the definition of asymptotic regions.
Chapter 3: Asymptotic Flatness and the Concept of Infinity
Detailed discussion on asymptotically flat spacetimes, including the notion of spatial infinity.
Chapter 4: The Schwarzschild Solution and Its Asymptotics
Analyzing the Schwarzschild solution, focusing on its asymptotic properties at large distances.
Chapter 5: Asymptotics of Black Hole Spacetimes
The asymptotic structure around black holes, including Kerr and Reissner-Nordström black holes.
Chapter 6: Asymptotic Charges and Conservation Laws
The concept of conserved quantities (e.g., energy, momentum) at infinity in general relativity.
Chapter 7: Gravitational Radiation and Asymptotics
The role of asymptotic analysis in understanding gravitational radiation and wave propagation.
Chapter 8: Asymptotics in Cosmology
Asymptotic analysis in the context of the expanding universe and the cosmological solutions to general relativity.
Chapter 9: The BMS Group and Asymptotic Symmetries
The behavior of asymptotic symmetries, focusing on the Bondi-Metzner-Sachs group and its implications for general relativity.
Chapter 10: Asymptotic Analysis in Numerical Relativity
Applying asymptotic analysis to numerical simulations of relativistic systems.
Chapter 11: Asymptotics of Spacetime Singularities
Investigating the behavior of spacetime near singularities and the role of asymptotic analysis in their understanding.
Chapter 12: Quantum Aspects of Asymptotic Behavior
An overview of how asymptotic analysis intersects with quantum field theory in curved spacetimes.
Chapter 13: Open Problems and Future Directions
Current challenges in asymptotic analysis within general relativity and potential avenues for future research.

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