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The Conformal Structure of Space-Times

Geometry, Analysis, Numerics

  • Book
  • © 2002

Overview

Editors:
  1. Jörg Frauendiener

    1. Theoretische Astrophysik, Universität Tübingen, Tübingen, Germany

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    You can also search for this editor in PubMed   Google Scholar

  2. Helmut Friedrich

    1. MPI für Gravitationsphysik, Albert-Einstein-Institut, Golm, Germany

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    You can also search for this editor in PubMed   Google Scholar

  • Bridges the gap between advanced textbook material and research publications
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Physics (LNP, volume 604)

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Table of contents (19 chapters)

  1. Front Matter

    Pages I-XIV
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  2. Conformal Einstein Evolution

    • Helmut Friedrich
    Pages 1-50

  3. Some Global Results for Asymptotically Simple Space-Times

    • Gregory J. Galloway
    Pages 51-60

  4. Black Holes

    • Piotr T. Chruściel
    Pages 61-102

  5. Conformal Geometry, Differential Equations and Associated Transformations

    • Simonetta Frittelli, Niky Kamran, Ezra T. Newman
    Pages 103-112

  6. Twistor Geometry of Conformal Infinity

    • Roger Penrose
    Pages 113-121

  7. Isotropic Cosmological Singularities

    • K. Paul Tod
    Pages 123-134

  8. Polyhomogeneous Expansions Close to Null and Spatial Infinity

    • Juan Antonio Valiente Kroon
    Pages 135-159

  9. Asymptotically Flat and Regular Cauchy Data

    • Sergio Dain
    Pages 161-181

  10. Construction of Hyperboloidal Initial Data

    • Lars Andersson
    Pages 183-194

  11. Exploring the Conformal Constraint Equations

    • Adrian Butscher
    Pages 195-222

  12. Criteria for (In)finite Extent of Static Perfect Fluids

    • Walter Simon
    Pages 223-237

  13. Problems and Successes in the Numerical Approach to the Conformal Field Equations

    • Sascha Husa
    Pages 239-259

  14. Some Aspects of the Numerical Treatment of the Conformal Field Equations

    • Jörg Frauendiener
    Pages 261-282

  15. Data for the Numerical Calculation of the Kruskal Space-Time

    • Bernd G. Schmidt
    Pages 283-295

  16. Numerics of the Characteristic Formulation in Bondi Variables. Where We Are and What Lies Ahead

    • Luis Lehner
    Pages 297-312

  17. Numerical Experiments at Null Infinity

    • Robert A. Bartnik, Andrew H. Norton
    Pages 313-326

  18. Local Characteristic Algorithms for Relativistic Hydrodynamics

    • José A. Font
    Pages 327-348

  19. Simulations of Generic Singularities in Harmonic Coordinates

    • David Garfinkle
    Pages 349-358

  20. Some Mathematical and Numerical Questions Connected with First and Second Order Time-Dependent Systems of Partial Differential Equations

    • Heinz-O. Kreiss, Omar E. Ortiz
    Pages 359-370
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Keywords

About this book

Causal relations, and with them the underlying null cone or conformal structure, form a basic ingredient in all general analytical studies of asymptotically flat space-time. The present book reviews these aspects from the analytical, geometrical and numerical points of view. Care has been taken to present the material in a way that will also be accessible to postgraduate students and nonspecialist reseachers from related fields.

Editors and Affiliations

  • Theoretische Astrophysik, Universität Tübingen, Tübingen, Germany

    Jörg Frauendiener

  • MPI für Gravitationsphysik, Albert-Einstein-Institut, Golm, Germany

    Helmut Friedrich

Bibliographic Information

  • Book Title: The Conformal Structure of Space-Times

  • Book Subtitle: Geometry, Analysis, Numerics

  • Editors: Jörg Frauendiener, Helmut Friedrich

  • Series Title: Lecture Notes in Physics

  • DOI: https://doi.org/10.1007/3-540-45818-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2002

  • Hardcover ISBN: 978-3-540-44280-6Published: 10 December 2002

  • Softcover ISBN: 978-3-642-07925-2Published: 09 December 2010

  • eBook ISBN: 978-3-540-45818-0Published: 11 January 2008

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: XIV, 374

  • Topics: Classical and Quantum Gravitation, Relativity Theory, Mathematical Methods in Physics

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