2017/03/27 by Jumageldi Charyyev, Nihat Sadik Deger · 10 citations
Mathematics · Physics and Astronomy · #Anisotropy #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Exponent #Field (mathematics) #Geometry #Gravitation #Homogeneous #Limit (mathematics) #Massive gravity #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Noncommutative and Quantum Gravity Theories #Physics #Point (geometry) #Pure mathematics #Quantum mechanics #Spacetime #Statistical physics #Theoretical physics #Type (biology) #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.96.026024
published in Physical review. D/Physical review. D. 96(2) (American Physical Society) · 23 pages, v2: minor changes, references added
arxiv created 2017/03/27 · openalex publication_date 2017/07/31 · arxiv updated 2017/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we systematically construct simply transitive homogeneous spacetime solutions of the three-dimensional minimal massive gravity (MMG) model. In addition to those that have analogs in topologically massive gravity, such as warped AdS and pp waves, there are several solutions genuine to MMG. Among them, there is a stationary Lifshitz metric with the dynamical exponent z=\ensuremath-1 and an anisotropic Lifshitz solution where all coordinates scale differently. Moreover, we identify a homogeneous Kundt-type solution at the chiral point of the theory. We also show that in a particular limit of the physical parameters in which the Cotton tensor drops out from the MMG field equation, homogeneous solutions exist only at the merger point in the parameter space if they are not conformally flat.