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Sprungrelationen und zugehörige Transportgleichungen für die Bachschen Feldgleichungen
Author(s) -
Günther Paul
Publication year - 1978
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19780581003
Subject(s) - transversal (combinatorics) , jump , tensor (intrinsic definition) , mathematics , mathematical physics , mathematical analysis , order (exchange) , physics , pure mathematics , quantum mechanics , finance , economics
In a general curved space‐time, for which the Bach‐field‐equations are fulfilled, the jump‐relations for the jumps of the fourth derivatives of the fundamental tensor on a characteristic surface are considered. In contrast to the Einstein equations in general the jump‐tensor has not only pure transversal, but also longitudinal‐transversal components. The jump‐tensor satisfies a linear transport equation of second order, the longitudinal‐transversal components satisfy a separate transport equation of first order.