2014/02/11 by Joerg Kampen, Kampen, Joerg
Mathematics · Physics and Astronomy · #35Q76 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #Navier-Stokes equation solutions
paper · pdf · doi:10.48550/arxiv.1402.2535
openalex publication_date 2014/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Singular solutions of the harmonic Einstein evolution equation are\nconstructed which are related to spatially global and time-local solutions for\na certain class of quasilinear hyperbolic systems of second order. The\nconstructed singularities of curvature invariants occur generically and are\naccessible by g.a.p. curves. The singularities are not strongly censored, and\nfor strongly asymptotically predictable space-times, they are located in the\ncausal past of the future null infinity, and are, hence, not shielded by a\nblack hole. This is an alternative construction of singularities, which may be\napplied to other hyperbolic equations such as the Euler equation (cf. [3] for a\ndifferent construction method- both of our constructions are fundamentally\ndifferent from supercritical blow-up constructions in the Katz-Pavlovic model\nor singular solution constructions for heat-flow maps in specific dimensions).\n