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Loop quantum $f(R)$ theories

Xiangdong Zhang
(
- Beijing Normal U.
)
,
Yongge Ma
(
- Beijing Normal U.
)

Jul, 2011

14 pages

Published in:

Phys.Rev.D 84 (2011) 064040

e-Print:

1107.4921 [gr-qc]

DOI:

10.1103/PhysRevD.84.064040

View in:

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Abstract: (arXiv)

As modified gravity theories, the 4-dimensional metric

f(R)

theories are cast into connection dynamical formalism with real

su(2)

-connections as configuration variables. This formalism enables us to extend the non-perturbative loop quantization scheme of general relativity to any metric

f(R)

theories. The quantum kinematical framework of

f(R)

gravity is rigorously constructed, where the quantum dynamics can be launched. Both Hamiltonian constraint operator and master constraint operator for

f(R)

theories are well defined. Our results show that the non-perturbative quantization procedure of loop quantum gravity are valid not only for general relativity but also for a rather general class of 4-dimensional metric theories of gravity.

Note:

14 pages; published version in PRD

04.50.Kd
04.60.Pp
04.20.Fy
quantization: nonperturbative
kinematics: quantum
constraint: Hamiltonian
gravitation: model
quantum gravity: loop space
gravitation: f(R)
general relativity

References(24)

Figures(0)

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