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AdS waves of the four and six-drivative gravity models

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Abstract

In this paper we investigate AdS waves in the R 3 extension of new massive gravity. We show that R 3 − N M G admit the geometries with the Schrodinger isometry group. When we approach the critical point of the parameter space, solution with loga-rithmic fall-off arise. Then we extend our work to the three-dimensional tricritical gravity. The equation of motion of AdS wave in this case is a six-derivative differential equation. We decompose this equation as a coupled massive wave equation and a one massless wave equation. It is interesting that in tricritical point when both of the massive wave solutions become massless wave, we obtain the solution with logarithmic-squared behavior.

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Authors and Affiliations

  1. Department of Science, Campus of Bijar, University of Kurdistan, Bijar, Iran

    M. R. Setare & N. Hatami

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  1. M. R. Setare
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  2. N. Hatami
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Correspondence to M. R. Setare.

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Setare, M.R., Hatami, N. AdS waves of the four and six-drivative gravity models. J. High Energ. Phys. 2013, 142 (2013). https://doi.org/10.1007/JHEP04(2013)142

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