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Kundt solutions of minimal massive 3D gravity

2015/05/31 by Nihat Sadik Deger, Özgür Sarıoğlu, Ozgur Sarioglu · 1 citation
Mathematics · Physics and Astronomy · #Algebraic number #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometry #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Scalar (mathematics) #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.92.104015

published as Phys. Rev. D 92, 104015 (2015) · 18 pages, no figures; ver. 2: a new (explicit, exact) non-CSI solution has been added, main text improved and references updated 20 pages, no figures; ver. 3: version accepted for publication in Physical Review D

arxiv created 2015/10/18 · openalex publication_date 2015/11/04 · arxiv updated 2015/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct Kundt solutions of minimal massive gravity theory and show that, similar to topologically massive gravity (TMG), most of them are constant scalar invariant (CSI) spacetimes that correspond to deformations of round and warped (A)dS. We also find an explicit non-CSI Kundt solution at the merger point. Finally, we give their algebraic classification with respect to the traceless Ricci tensor (Segre classification) and show that their Segre types match with the types of their counterparts in TMG.

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