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

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arxiv 1101.1752 v2 pith:GNEDFOOI submitted 2011-01-10 gr-qc astro-ph.COhep-thmath-phmath.MPquant-ph

classification gr-qcastro-ph.COhep-thmath-phmath.MPquant-ph
keywords gravitytheoriesgeneralloopmetricdimensionalformalismquantization
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Consistency check on the fundamental and alternative flux operators in loop quantum gravity

    gr-qc 2019-08 conditional novelty 5.0 of 10

    A graphical consistency check between the fundamental and alternative flux operators in loop quantum gravity fixes the volume-operator constant κ_reg to 1/2.

  2. Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

    gr-qc 2017-05 accept novelty 2.0 of 10

    Modified gravity theories supply viable mathematical frameworks for inflation, bounces, and dark energy eras that match observational data.

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