Extension of Loop Quantum Gravity to f(R) Theories

Xiangdong Zhang and Yongge Ma
Phys. Rev. Lett. 106, 171301 – Published 28 April 2011

Abstract

The four-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 nonperturbative quantization procedure of loop quantum gravity is valid not only for general relativity but also for a rather general class of four-dimensional metric theories of gravity.

  • Received 10 January 2011

DOI:https://doi.org/10.1103/PhysRevLett.106.171301

© 2011 American Physical Society

Authors & Affiliations

Xiangdong Zhang* and Yongge Ma

  • Department of Physics, Beijing Normal University, Beijing 100875, China

  • *zhangxiangdong@mail.bnu.edu.cn
  • Corresponding author. mayg@bnu.edu.cn

See Also

Loop quantum f(R) theories

Xiangdong Zhang and Yongge Ma
Phys. Rev. D 84, 064040 (2011)

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Vol. 106, Iss. 17 — 29 April 2011

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