Open AccessTHE GENERALIZED SPHERICALLY-SYMMETRIC METRIC
Author(s) -
M.M. Khashaev
Publication year - 2020
Publication title -
uzbek journal of physics
Language(s) - English
Resource type - Journals
ISSN - 2181-077X
DOI - 10.52304/.v22i4.162
Subject(s) - metric (unit) , killing vector field , mathematics , group (periodic table) , pure mathematics , symmetry (geometry) , lie algebra , space (punctuation) , algebra over a field , lie group , mathematical analysis , physics , geometry , computer science , quantum mechanics , operations management , economics , operating system
Four parameter group of transformations containing rotations and time translations is consi[1]dered due to spherical symmetry and stationarity of the space-time metric. It is found that there exists such a quartet of Killing vector fields which constitute the Lie algebra of the transforma[1]tion group and in which space-like vectors are not orthogonal to the time-like one. The metric corresponding to the Lie algebra of Killing vectors is composed. It is shown that the metric is non-static.