# Cosmological applications of loop quantum gravity

@article{Bojowald2003CosmologicalAO, title={Cosmological applications of loop quantum gravity}, author={Martin Bojowald and Hugo Aurelio Morales‐T{\'e}cotl}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2003} }

After a brief introduction to classical and quantum gravity we discuss applications of loop quantum gravity in the cosmological realm. This includes the basic formalism and recent results of loop quantum cosmology, and a computation of modified dispersion relations for quantum gravity phenomenology. The presentation is held at a level which does not require much background knowledge in general relativity or mathematical techniques such as functional analysis, so as to make the article…

## 53 Citations

Time dependence in Quantum Gravity

- Physics
- 2004

The intuitive classical space-time picture breaks down in quantum gravity, which makes a comparison and the development of semiclassical techniques quite complicated. By a variation of the group…

Quantum Gravity and the Big Bang

- Physics
- 2003

Quantum gravity has matured over the last decade to a theory which can tell in a precise and explicit way how cosmological singularities of general relativity are removed. A branch of the universe…

Tachyon matter in loop quantum cosmology

- Physics
- 2006

An analytical approach for studying the cosmological scenario with a homogeneous tachyon field within the framework of loop quantum gravity is developed. Our study is based on the semiclassical…

Approximate pre-classical solutions to models of loop quantum gravity

- Physics
- 2006

In this paper we introduce a numerical approximation technique to obtain pre-classical solutions to models of loop quantum gravity. In particular, we apply the technique to vacuum Bianchi I…

Gravitational Collapse in Loop Quantum Gravity

- Physics
- 2006

Abstract
In this paper we study the gravitational collapse applying methods of loop quantum gravity to a minisuperspace model. We consider the space-time region inside the Schwarzschild black hole…

Shortcomings of the big bounce derivation in loop quantum cosmology

- Physics
- 2010

We give a prescription to define in loop quantum gravity the electric field operator related to the scale factor of a homogeneous and isotropic cosmological space-time. This procedure allows us to…

Introduction to loop quantum gravity and spin foams

- Physics
- 2004

These notes are a didactic overview of the non perturbative and background independent approach to a quantum theory of gravity known as loop quantum gravity. The definition of real connection…

Alternative Theories of Gravity : Loop Quantum Gravity and Loop Quantum Cosmology

- 2009

Quantizing gravity and unifying it with the other fundamental interactions has been the focus of theoretical physics research in the last couple of decades. Among different attempts, numerous…

A Comparative study of string theory and loop quantum gravity in cosmological context

- Physics
- 2004

One of the central problems in theoretical physics today is combining the principle of quantum mechanics and general relativity into a quantum theory of gravity. It is believed that quantum gravity…

Quantum Cosmology

- Physics
- 2006

Synopsis: Quantum cosmology in general denotes the application of quantum physics to the whole universe and thus gives rise to many realizations and examples, covering problems at different…

## References

SHOWING 1-10 OF 97 REFERENCES

Homogeneous loop quantum cosmology: the role of the spin connection

- Physics
- 2004

Homogeneous cosmological models with non-vanishing intrinsic curvature require a special treatment when they are quantized with loop quantum cosmological methods. Guidance from the full theory which…

Lectures on Non-Perturbative Canonical Gravity

- Physics
- 1991

Notes prepared in Collaboration with Ranjeet S Tate It is now generally recognized that perturbative field theoretical methods that have been highly successful in the quantum description of…

Local quantum physics : fields, particles, algebras

- Physics
- 1993

This textbook gives a comprehensive account of local quantum physics understood as the synthesis of quantum theory with the principle of locality. Centered on the algebraic approach, it describes…

Background independent quantum gravity: A Status report

- Physics, Mathematics
- 2004

The goal of this review is to present an introduction to loop quantum gravity—a background-independent, non-perturbative approach to the problem of unification of general relativity and quantum…

The Quest for Quantum Gravity: Testing Times for Theories?

- Physics
- 2000

I discuss some theoretical ideas concerning the representation of quantum gravity as a Lorentz-symmetry-violating `medium' with non-trivial optical properties, which include a refractive index in…

Some Comments on the Representation Theory of the Algebra Underlying Loop Quantum Gravity

- Mathematics
- 2002

Important characteristics of the loop approach to quantum gravity are a specific choice of the algebra A of observables and of a representation of A on a measure space over the space of generalized…

An introduction to quantum cosmology

- Physics
- 1995

This is an introductory set of lecture notes on quantum cosmology, given in 1995 to an audience with interests ranging from astronomy to particle physics. Topics covered: 1. Introduction: 1.1 Quantum…

High energy constraints on Lorentz symmetry violations

- Physics
- 2001

Lorentz violation at high energies might lead to non linear dispersion relations for the fundamental particles. We analyze observational constraints on these without assuming any a priori equality…

Probing the Planck Scale in Low-Energy Atomic Physics

- Physics
- 2001

Experiments in atomic physics have exceptional sensitivity to small shifts in energy in an atom, ion, or bound particle. They are particularly well suited to search for unique low-energy signatures…

Deterministic chaos in general relativity

- Physics
- 1994

A Brief Review of 'Deterministic Chaos in General Relativity' D.W. Hobill. Mathematical Preliminaries: Introduction to Dynamical Systems J. Wainwright. A Short Course in Chaotic Hamiltonian Systems…