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Conformal Methods in General Relativity 1st Edition by Juan A Valiente Kroon ISBN 1107033896 9781107033894

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Conformal Methods in General Relativity 1st Edition Juan A. Valiente Kroon Digital Instant Download

Author(s): Juan A. Valiente Kroon
ISBN(s): 9781107033894, 1107033896
Edition: 1
File Details: PDF, 12.03 MB
Year: 2016
Language: english
SKU: EB-5750476 Category: Tag:

Conformal Methods in General Relativity 1st Edition by Juan A Valiente Kroon – Ebook PDF Instant Download/Delivery: 1107033896, 9781107033894
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Product details:

ISBN 10: 1107033896 
ISBN 13: 9781107033894
Author: Juan A Valiente Kroon

This book offers a systematic exposition of conformal methods and how they can be used to study the global properties of solutions to the equations of Einstein’s theory of gravity. It shows that combining these ideas with differential geometry can elucidate the existence and stability of the basic solutions of the theory. Introducing the differential geometric, spinorial and PDE background required to gain a deep understanding of conformal methods, this text provides an accessible account of key results in mathematical relativity over the last thirty years, including the stability of de Sitter and Minkowski spacetimes. For graduate students and researchers, this self-contained account includes useful visual models to help the reader grasp abstract concepts and a list of further reading, making this the perfect reference companion on the topic.

Conformal Methods in General Relativity 1st Table of contents:

  • Mathematical Foundations of Conformal Geometry

    • Conformal Transformations and Metrics

    • Conformal Manifolds and Spaces

    • Conformal Invariance and Symmetries

  • Conformal Structures in General Relativity

    • The Conformal Class of Metrics

    • Conformal Geometry in Spacetime

    • Applications to the Einstein Field Equations

  • Conformal Killing Vectors and Symmetry

    • Conformal Killing Vectors in Spacetime

    • Conformal Symmetries in Black Hole Physics

    • Role of Conformal Killing Vectors in Cosmology

  • Conformal Rescaling and the Einstein Equations

    • Conformal Rescaling of the Metric

    • Impact on the Einstein Field Equations

    • The Conformal Transformation of Matter and Energy

  • Conformal Methods in Cosmology

    • Conformal Transformations in the Early Universe

    • Applications to the Inflationary Universe Model

    • Conformal Symmetry and Dark Energy

  • Conformal Gravity

    • Theories of Conformal Gravity

    • Conformal Invariance in the Gravitational Action

    • Models and Solutions in Conformal Gravity

  • Conformal Field Theory and its Role in General Relativity

    • Basics of Conformal Field Theory

    • Connection between Conformal Field Theory and General Relativity

    • Applications to Quantum Gravity

  • Applications of Conformal Methods in Black Hole Physics

    • Conformal Symmetry in Black Hole Thermodynamics

    • Conformal Invariance and the Study of Singularities

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Tags: Juan A Valiente Kroon, Conformal Methods, General Relativity