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arXiv · 1101.1752

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

Xiangdong Zhang·Yongge Ma
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Abstract

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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Xiangdong Zhang, Yongge Ma. 2011-05-02. Extension of loop quantum gravity to $f(R)$ theories. https://doi.org/10.1103/physrevlett.106.171301

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