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Asymptotic Safety and Black Holes

  • Book
  • © 2013

Overview

Authors:
  1. Kevin Falls

    1. Department of Physics and Astronomy, University of Sussex, Brighton, United Kingdom

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  • Nominated as an outstanding Ph.D. thesis by the University of Sussex, UK
  • Provides new evidence for a UV fixed point in quantum gravity including an unprecedented number of curvature invariants
  • Will stimulate further progress in black hole physics using renormalization group techniques

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Introduction

    • Kevin Falls
    Pages 1-8

  3. The Renormalisation Group

    • Kevin Falls
    Pages 9-29

  4. The Flow of \(F(R)\) Gravity

    • Kevin Falls
    Pages 31-71

  5. Black Hole Space-Times

    • Kevin Falls
    Pages 73-110

  6. Thermodynamics of Space-Time

    • Kevin Falls
    Pages 111-152

  7. Black Hole Thermodynamics Under the Microscope

    • Kevin Falls
    Pages 153-174

  8. Conclusion

    • Kevin Falls
    Pages 175-176

  9. Back Matter

    Pages 177-185
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Keywords

About this book

One of the open challenges in fundamental physics is to combine Einstein's theory of general relativity with the principles of quantum mechancis. In this thesis, the question is raised whether metric quantum gravity could be fundamental in the spirit of Steven Weinberg's seminal asymptotic safety conjecture, and if so, what are the consequences for the physics of small, possibly Planck-size black holes? To address the first question, new techniques are provided which allow, for the first time, a self-consistent study of high-order polynomial actions including up to 34 powers in the Ricci scalar. These novel insights are then exploited to explain quantum gravity effects in black holes, including their horizon and causal structure, conformal scaling, evaporation, and the thermodynamics of quantum space-time. Results indicate upper limits on black hole temperature, and the existence of small black holes based on asymptotic safety for gravity and thermodynamical arguments.

Authors and Affiliations

  • Department of Physics and Astronomy, University of Sussex, Brighton, United Kingdom

    Kevin Falls

Bibliographic Information

  • Book Title: Asymptotic Safety and Black Holes

  • Authors: Kevin Falls

  • Series Title: Springer Theses

  • DOI: https://doi.org/10.1007/978-3-319-01294-0

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer International Publishing Switzerland 2013

  • Hardcover ISBN: 978-3-319-01293-3Published: 11 December 2013

  • Softcover ISBN: 978-3-319-34780-6Published: 27 August 2016

  • eBook ISBN: 978-3-319-01294-0Published: 26 November 2013

  • Series ISSN: 2190-5053

  • Series E-ISSN: 2190-5061

  • Edition Number: 1

  • Number of Pages: XVI, 185

  • Number of Illustrations: 29 b/w illustrations, 18 illustrations in colour

  • Topics: Classical and Quantum Gravitation, Relativity Theory, Cosmology, Thermodynamics

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