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Tricritical gravity waves in the four-dimensional generalized massive gravity

  • Regular Article - Theoretical Physics
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Abstract

We construct a generalized massive gravity by combining quadratic curvature gravity with the Chern–Simons term in four dimensions. This may be a candidate for the parity-odd tricritical gravity theory. Considering the AdS4 vacuum solution, we derive the linearized Einstein equation, which is not similar to that of the three dimensional (3D) generalized massive gravity. When a perturbed metric tensor is chosen to be the Kerr–Schild form, the linearized equation reduces to a single massive scalar equation. At the tricritical points where two masses are equal to −1 and 2, we obtain a log-square wave solution to the massive scalar equation. This is compared to 3D tricritical generalized massive gravity, whose dual is a rank-3 logarithmic conformal field theory.

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Notes

  1. We note that in dynamical Chern–Simons (DCS) gravity [29–31], the scalar θ is treated as a dynamical field by adding its kinetic and potential terms.

  2. One can find the same expression (2.4) in the literature [28, 29].

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Acknowledgements

This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) through the Center for Quantum Spacetime (CQUeST) of Sogang University with grant number 2005-0049409. Y. Myung was partly supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (No. 2012-040499).

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Authors and Affiliations

  1. Center for Quantum Space-Time, Sogang University, Seoul, 121-742, Korea

    Taeyoon Moon

  2. Institute of Basic Sciences and School of Computer Aided Science, Inje University, Gimhae, 621-749, Korea

    Yun Soo Myung

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  1. Taeyoon Moon
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  2. Yun Soo Myung
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Correspondence to Yun Soo Myung.

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Moon, T., Myung, Y.S. Tricritical gravity waves in the four-dimensional generalized massive gravity. Eur. Phys. J. C 73, 2308 (2013). https://doi.org/10.1140/epjc/s10052-013-2308-y

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