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Generalized Chern–Simons modified gravity in first-order formalism

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Abstract

We propose a generalization of Chern–Simons (CS) modified gravity in first-order formalism. CS modified gravity action has a term that comes from the chiral anomaly which is Pontryagin invariant. First-order CS modified gravity is a torsional theory and in a space-time with torsion the chiral anomaly includes a torsional topological term called Nieh-Yan invariant. We generalize the CS modified gravity by adding the Nieh-Yan term to the action and find the effective theory. We compare the generalized theory with the first-order CS modified gravity and comment on the similarities and differences.

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Acknowledgments

This work was supported in part by the Scientific and Technical Research Council of Turkey (TÜBİTAK).

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Authors and Affiliations

  1. Department of Physics, Faculty of Sciences, Ankara University, Tandoğan-Ankara, 06100, Turkey

    Ümit Ertem & Özgür Açık

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  1. Ümit Ertem
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  2. Özgür Açık
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Correspondence to Ümit Ertem.

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Ertem, Ü., Açık, Ö. Generalized Chern–Simons modified gravity in first-order formalism. Gen Relativ Gravit 45, 477–488 (2013). https://doi.org/10.1007/s10714-012-1483-8

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