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arXiv · 1201.5724

Type N Spacetimes as Solutions of Extended New Massive Gravity

Haji Ahmedov·Alikram N. Aliev
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Abstract

We study algebraic type N spacetimes in the extended new massive gravity (NMG), considering both the Born-Infeld model (BI-NMG) and the model of NMG with any finite order curvature corrections. We show that for these spacetimes, the field equations of BI-NMG take the form of the massive (tensorial) Klein-Gordon type equation, just as it happens for ordinary NMG. This fact enables us to obtain the type N solution to BI-NMG, utilizing the general type N solution of NMG, earlier found in our work. We also obtain type N solutions to NMG with all finite order curvature corrections and show that, in contrast to BI-NMG, this model admits the critical point solutions, which are counterparts of "logarithmic" AdS pp-waves solutions of NMG.

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Haji Ahmedov, Alikram N. Aliev. 2012-01-27. Type N Spacetimes as Solutions of Extended New Massive Gravity. https://doi.org/10.1016/j.physletb.2012.03.061

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