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Introduction

  • Yuki SatoEmail author
Chapter
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Part of the Springer Theses book series (Springer Theses)

Abstract

The aim of this chapter is to provide all basic information necessary to read the thesis and to clarify our stance on discussing quantum gravity. Through Sect. 1.1, one can understand why we think that an object called space-time foliation is useful in quantum gravity. The book treats two theories of gravity with the space-time foliation: Causal Dynamical Triangulations (CDT) and n-DBI gravity; the following sections are devoted to explaining their fundamental ideas and to supplements for understanding the theoretical frameworks. Namely, since CDT is a lattice formulation of quantum gravity, in Sect. we show how to put gravity on a lattice with and without the space-time foliation; Sect. 1.3 leads readers to n-DBI gravity starting with the idea of the 3 + 1 decomposition which is a standard way to investigate the gravitational physics with the space-time filiation.

Keywords

Space-time foliation (Causal) Dynamical triangulations Regge action n-DBI gravity ADM formalism Hořava-Lifshitz gravity. 

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Copyright information

© Springer Japan 2014

Authors and Affiliations

  1. 1.Department of PhysicsNagoya UniversityNagoyaJapan

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