Mach's principle and hidden matter

被引:1
|
作者
Borzeszkowski, HH
Treder, HJ
机构
[1] Technische Universität Berlin,Institut für Theoretische Physik
关键词
Gravitational Equation; Matter Tensor; Local Lorentz Invariance; Hide Masse; Torsion Field;
D O I
10.1007/BF02550679
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
According to the Einstein-Mayer theory of the Riemanniann space-time with Einstein-Cartan teleparallelism, the local Lorentz invariance is broken by the gravitational field Machian reference systems. This breaking of symmetry implies the occurrence of 'hidden matter'' in the Einstein equations of gravity. The hidden matter is described by the non-Lorentz-invariant energy-momentum tensor <(Theta)over cap>(ik) satisfying the relation <(Theta)over cap>(k)(i):(k) = 0. The tensor <(Theta)over cap>(ik) is formed from the Einstein-Cartan torsion field given by the anholonomy objects, F-Aik = 2h (A[i,k]), and appears together with Hilbert's energy-momentum tensor T*(ik) and Poincare's pressure lambda g(ik) on the right-hand side of Einstein's equations so that one has R-ik - (1/2) g(ik) R = -kappa T*(ik) - lambda g(ik) - <(Theta)over cap>(ik) According to this theory, in the universe and in cosmic systems one must except ''invisible masses'' described by the Poincare and Einstein-Cartan terms to exist. The torsion field F-Aik makes the space-time a Machian universe; it is of the same nature as the ''weak interacting matter'' discussed in astrophysics.
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页码:595 / 603
页数:9
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