Regular Article - Theoretical Physics
Tricritical gravity waves in the four-dimensional generalized massive gravity
Center for Quantum Space-Time, Sogang University, Seoul, 121-742, Korea
2 Institute of Basic Sciences and School of Computer Aided Science, Inje University, Gimhae, 621-749, Korea
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Published online: 9 February 2013
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.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013