TY  - BOOK
AU  - Sato,Yuki
TI  - Space-time foliation in quantum gravity
T2  - Springer theses
SN  - 9784431549468
U1  - 530.12 23
PY  - 2014///
CY  - New York
PB  - Springer
KW  - Quantum gravity.
KW  - Space and time.
KW  - Physics
N1  - "Doctoral thesis accepted by Nagoya University, Nagoya, Japan."; 1. Introduction --
2. Causal Dynamical Triangulation --
3. n-DBI Gravity --
4. Summary --
Appendices
N2  - 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
ER  -