Space-Time Foliation in Quantum Gravity

  • Yuki Sato

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Yuki Sato
    Pages 1-36
  3. Yuki Sato
    Pages 37-56
  4. Yuki Sato
    Pages 57-79
  5. Yuki Sato
    Pages 81-82
  6. Back Matter
    Pages 83-100

About this book


In this thesis, the author considers quantum gravity to investigate the mysterious origin of our universe and its mechanisms. He and his collaborators have greatly improved the analyticity of two models: causal dynamical triangulations (CDT) and n-DBI gravity, with the space-time foliation which is one common factor shared by these two separate models.


In the first part, the analytic method of coupling matters to CDT in 2-dimensional toy models is proposed to uncover the underlying mechanisms of the universe and to remove ambiguities remaining in CDT. As a result, the wave function of the 2-dimensional universe where matters are coupled is derived. The behavior of the wave function reveals that the Hausdorff dimension can be changed when the matter is non-unitary.


In the second part, the n-DBI gravity model is considered. The author mainly investigates two effects driven by the space-time foliation: the appearance of a new conserved charge in black holes and an extra scalar mode of the graviton. The former implies a breakdown of the black-hole uniqueness theorem while the latter does not show any pathological behavior.


2-dimensional CDT 4-dimensional Black Hole Solutions Causal Dynamical Triangulations Origin of the Universe Quantum Gravity Models Reviewed Thesis Quantum Gravity n-DBI Gravity

Authors and affiliations

  • Yuki Sato
    • 1
  1. 1.Department of PhysicsNagoya UniversityNagoyaJapan

Bibliographic information