Quantum cosmology: a review

@article{Bojowald2015QuantumCA,
  title={Quantum cosmology: a review},
  author={Martin Bojowald},
  journal={Reports on Progress in Physics},
  year={2015},
  volume={78}
}
  • M. Bojowald
  • Published 20 January 2015
  • Physics
  • Reports on Progress in Physics
In quantum cosmology, one applies quantum physics to the whole universe. While no unique version and no completely well-defined theory is available yet, the framework gives rise to interesting conceptual, mathematical and physical questions. This review presents quantum cosmology in a new picture that tries to incorporate the importance of inhomogeneity. De-emphasizing the traditional minisuperspace view, the dynamics is rather formulated in terms of the interplay of many interacting… 

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References

SHOWING 1-10 OF 234 REFERENCES

Loop Quantum Cosmology

Quantum gravity is expected to be necessary in order to understand situations where classical general relativity breaks down. In particular in cosmology one has to deal with initial singularities,

Background independent quantum gravity: A Status report

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

Quantum Nature of the Big Bang: Improved dynamics

An improved Hamiltonian constraint operator is introduced in loop quantum cosmology. Quantum dynamics of the spatially flat, isotropic model with a massless scalar field is then studied in detail

Factor ordering and large-volume dynamics in quantum cosmology

Quantum cosmology implies corrections to the classical equations of motion, which may lead to significant departures from the classical trajectory, especially at high curvature near the big-bang

Non-linear (loop) quantum cosmology

Inhomogeneous quantum cosmology is modeled as a dynamical system of discrete patches, whose interacting many-body equations can be mapped to a non-linear minisuperspace equation by methods analogous

Dust reference frame in quantum cosmology

We give a formulation of quantum cosmology with pressureless dust and arbitrary additional matter fields. The system has the property that its Hamiltonian constraint is linear in the dust momentum.

Effective equations for isotropic quantum cosmology including matter

Effective equations often provide powerful tools to develop a systematic understanding of detailed properties of a quantum system. This is especially helpful in quantum cosmology where several

Numerical Techniques in Loop Quantum Cosmology

In this article, we review the use of numerical techniques to obtain solutions for the quantum Hamiltonian constraint in loop quantum cosmology (LQC). First, we summa- rize the basic features of LQC,

Cosmology from group field theory formalism for quantum gravity.

We identify a class of condensate states in the group field theory (GFT) formulation of quantum gravity that can be interpreted as macroscopic homogeneous spatial geometries. We then extract the
...