Quantum gravity: general introduction and recent developments

By Claus Kiefer. 2005

512 citations recorded by the source corpus.

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 remarks on the observational status of quantum gravity.

View Paper: https://www.semanticscholar.org/paper/b324e54e1ed9ade467967d87b96196159836b1d9

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Citations in the corpus

Loop quantum gravity: an outside view (2005, background): “opriate combinations of gravitational and matter ﬁelds (which then would commute with the constraints). Although there has been much discussion in the literature about these ‘relational’ aspects (see [19, 16, 18, 34] and references therein, and [97, 98] for a more recent discussion in the context of”
Problem of time in quantum gravity (2010, methodology): “s RPM’s, strong gravity (Appendix A.2) and some minisuperspace models, for which the Lichnerowicz{ York equation is replaced by a solvable algebraic equation) at least some cases would appear to have [7, 48] well-denedness and positive-probability issues, all of which is tangled up with operator-ord”
The universe from scratch (2005, background): “Research into quantum gravity falls broadly into two categories [1, 2]: nonperturbative approaches to quantum gravity, whose primary aim is to quantize the gravitational degrees of freedom per se, introducing little or no additional”