Loop Quantum Cosmology

@article{Bojowald2008LoopQC,
  title={Loop Quantum Cosmology},
  author={M. Bojowald},
  journal={Living Reviews in Relativity},
  year={2008},
  volume={11}
}
  • M. Bojowald
  • Published 2008
  • Medicine
  • Living Reviews in Relativity
Quantum gravity is expected to be necessary in order to understand situations in which classical general relativity breaks down. In particular in cosmology one has to deal with initial singularities, i.e., the fact that the backward evolution of a classical spacetime inevitably comes to an end after a finite amount of proper time. This presents a breakdown of the classical picture and requires an extended theory for a meaningful description. Since small length scales and high curvatures are… Expand
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QUANTUM NATURE OF THE BIG BANG IN LOOP QUANTUM COSMOLOGY ∗
A central feature of general relativity is that gravity is encoded in the very geometry of space-time. Loop quantum gravity is a non-perturbative approach to unifying general relativity with quantumExpand
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References

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Loop Quantum Cosmology: Effective theories and oscillating universes
Despite its great successes in accounting for the current observations, the so called `standard' model of cosmology faces a number of fundamental unresolved questions. Paramount among these are thoseExpand
Loop Quantum Cosmology
  • M. Bojowald
  • Physics, Medicine
  • Living reviews in relativity
  • 2005
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,Expand
Coordinate time dependence in Quantum Gravity
The intuitive classical space-time picture breaks down in quantum gravity, which makes a comparison and the development of semiclassical techniques quite complicated. Using ingredients of the groupExpand
Isotropic loop quantum cosmology
Isotropic models in loop quantum cosmology allow explicit calculations, thanks largely to a completely known volume spectrum, which is exploited in order to write down the evolution equation in aExpand
Degenerate Configurations, Singularities and the Non-Abelian Nature of Loop Quantum Gravity
Degenerate geometrical configurations in quantum gravity are important to understand if the fate of classical singularities is to be revealed. However, not all degenerate configurations arise on anExpand
Loop Quantum Gravity
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  • Medicine
  • Living reviews in relativity
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TLDR
An overview of ideas, techniques, results and open problems of this candidate theory of quantum gravity is given, and a guide to the relevant literature is given. Expand
Thermal fluctuations in loop cosmology
Quantum gravitational effects in loop quantum cosmology lead to a resolution of the initial singularity and have the potential to solve the horizon problem and generate a quasi scale-invariantExpand
Introduction to Modern Canonical Quantum General Relativity
This is an introduction to the by now fifteen years old research field of canonical quantum general relativity, sometimes called "loop quantum gravity". The term "modern" in the title refers to theExpand
Singularities and Quantum Gravity
Although there is general agreement that a removal of classical gravitational singularities is not only a crucial conceptual test of any approach to quantum gravity but also a prerequisite for anyExpand
On the Low-Energy Ramifications and a Mathematical Extension of Loop Quantum Gravity
In this thesis we address two remaining open questions in loop quantum gravity. The first deals with the low-energy limit of the theory. We illustrate some of the conceptual difficulties and theirExpand
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