Asymptotic Safety and Black Holes

  • KevinĀ Falls

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Kevin Falls
    Pages 1-8
  3. Kevin Falls
    Pages 9-29
  4. Kevin Falls
    Pages 31-71
  5. Kevin Falls
    Pages 73-110
  6. Kevin Falls
    Pages 111-152
  7. Kevin Falls
    Pages 175-176
  8. Back Matter
    Pages 177-185

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 the consequences would be 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.


Asymptotic Safety Conjecture Black Hole Thermodynamics F(R) Gravity Metric Quantum Gravity Planck-sized Black Holes Renormalization Group

Authors and affiliations

  • KevinĀ Falls
    • 1
  1. 1.Department of Physics and AstronomyUniversity of SussexBrightonUnited Kingdom

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2013
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-01293-3
  • Online ISBN 978-3-319-01294-0
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
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