Journal
PHYSICS LETTERS B
Volume 711, Issue 1, Pages 117-121Publisher
ELSEVIER
DOI: 10.1016/j.physletb.2012.03.061
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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. (C) 2012 Elsevier B.V. All rights reserved.
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