Extension of loop quantum gravity to $f(R)$ theories

Details Extension of loop quantum gravity to $f(R)$ theories Extension of loop quantum gravity to $f(R)$ theories

2011-01-10

arxiv.org/abs/1101.1752v2

Phys.Rev.Lett.106:171301,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages;Revised version adapted for PRL

Scientific paper

10.1103/PhysRevLett.106.171301

The 4-dimensional metric $f(\R)$ theories of gravity are cast into connection-dynamical formalism with real $\SU(2)$-connections as configuration variables. Through this formalism, the classical metric $f(\R)$ theories are quantized by extending the loop quantization scheme of general relativity. Our results imply that the non-perturbative quantization procedure of loop quantum gravity is valid not only for general relativity but also for a rather general class of 4-dimensional metric theories of gravity.

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