2012/11/26 by H. Takeuchi, Hiroshi Takeuchi
Physics and Astronomy · #Ansatz #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dimension (graph theory) #Exact solutions in general relativity #Gravitation #Metric (unit) #Noncommutative and Quantum Gravity Theories #Order (exchange) #Spacetime #Spinning #gr-qc #hep-th
paper · pdf · doi:10.1093/ptep/ptt005
16 pages, no figures
arxiv created 2012/11/26 · openalex publication_date 2013/03/01 · arxiv updated 2016/06/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We obtain new exact solutions in Einstein–Gauss–Bonnet gravity of every odd dimension higher than three. These new spacetimes are stationary but non-static, coupled with the Maxwell field, and asymptotic AdS, at least locally. In order to investigate such new solutions, we adopt the characteristic ansatz for the metric form. We show that the local expression of our metric possesses some interesting properties, in which the most peculiar one is what is called Sasakian structure. A somewhat intricate relationship is unveiled between our solution and the already-known rotating solution, which has been the only one so far in that purely gravitational theory. We confirm the validity of the rotating spacetime with the evaluation of the finite angular momentum.