Quantum gravity: general introduction and recent developments

@article{Kiefer2006QuantumGG,
  title={Quantum gravity: general introduction and recent developments},
  author={Claus Kiefer},
  journal={Annalen der Physik},
  year={2006},
  volume={15}
}
  • C. Kiefer
  • Published 29 August 2005
  • Physics
  • Annalen der Physik
I briefly review the current status of quantum gravity. After giving some general motivations for the need of such a theory, I discuss the main approaches in quantizing general relativity: Covariant approaches (perturbation theory, effective theory, and path integrals) and canonical approaches (quantum geometrodynamics, loop quantum gravity). I then address quantum gravitational aspects of string theory. This is followed by a discussion of black holes and quantum cosmology. I end with some… 

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References

SHOWING 1-10 OF 87 REFERENCES

Quantum gravity : from theory to experimental search

Quantum Gravity - A General Introduction.- That Strange Procedure Called Quantisation.- Lectures in Loop-Quantum Gravity.- A Discrete History of the Lorentzian Path Integral.- Introduction to String

Singularity resolution in quantum gravity

We examine the singularity resolution issue in quantum gravity by studying a new quantization of standard Friedmann-Robertson-Walker geometrodynamics. The quantization procedure is inspired by the

Spacetime in string theory

We give a brief overview of the nature of spacetime emerging from string theory. This is radically different from the familiar spacetime of Einstein's relativity. At a perturbative level, the

On the interaction of mesoscopic quantum systems with gravity

We review the different aspects of the interaction of mesoscopic quantum systems with gravitational fields. We first discuss briefly the foundations of general relativity and quantum mechanics. Then,

Quantum Gravity in 2+1 Dimensions

1. Why (2+1)-dimensional gravity? 2. Classical general relativity in 2+1 dimensions 3. A field guide to the (2+1)-dimensional spacetimes 4. Geometric structures and Chern-Simons theory 5. Canonical

Decoherence and the Appearance of a Classical World in Quantum Theory, second edition

1 Introduction.- 2 Basic Concepts and Their Interpretation.- 3 Decoherence Through Interaction with the Environment.- 4 Decoherence in Quantum Field Theory and Quantum Gravity.- 5 Consistent

Supersymmetric quantum cosmology

We address the canonical quantization in the framework of N = 1 simple supergravity for the case of Gowdy T3 cosmological models. It will be proved that there exist physical states in the

Semiclassical approximation to supersymmetric quantum gravity

We develop a semiclassical approximation scheme for the constraint equations of supersymmetric canonical quantum gravity. This is achieved by a Born-Oppenheimer type of expansion, in analogy to the
...