2018/08/10 by Ondrej Hruska, Ondřej Hruška, Jiřı́ Podolský +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Algorithm #Artificial intelligence #Black Holes and Theoretical Physics #Boundary (topology) #Classical mechanics #Computer science #Cosmology and Gravitation Theories #De Sitter universe #Gravitation #Mathematical analysis #Mathematical physics #Mathematics #Minkowski space #Physics #Quantum mechanics #Schwarzschild radius #Universe #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.99.084037
published in Physical review. D/Physical review. D. 99(8) (American Physical Society) · 30 pages, 16 figures
arxiv created 2018/08/10 · openalex created_date 2018/08/22 · openalex publication_date 2019/04/18 · arxiv updated 2019/04/24 · openalex updated_date 2026/08/05
We investigate the main properties and mutual relations of the so-called A and B metrics with any value of the cosmological constant. In particular, we explicitly show that both the AII and BI metrics are, in fact, the famous Schwarzschild--(anti--)de Sitter spacetime (that is the AI metric) boosted to superluminal speed. Together, they can be combined to form a complete gravitational field of a tachyon in an asymptotically Minkowski or (anti--)de Sitter background. The boundary separating the AII and BI regions is the Mach-Cherenkov shockwave on which the curvature is unbounded. We analyze various geometric features of such spacetimes, provide their natural physical interpretation, and visualize them using convenient background coordinates and embeddings.