MACHS PRINCIPLE AND HIDDEN MATTER

Citation
Hh. Borzeszkowski et Hj. Treder, MACHS PRINCIPLE AND HIDDEN MATTER, Foundations of physics, 27(4), 1997, pp. 595-603
Citations number
16
Categorie Soggetti
Physics
Journal title
ISSN journal
00159018
Volume
27
Issue
4
Year of publication
1997
Pages
595 - 603
Database
ISI
SICI code
0015-9018(1997)27:4<595:MPAHM>2.0.ZU;2-S
Abstract
According to the Einstein-Mayer theory of the Riemanniann space-time w ith Einstein-Cartan teleparallelism, the local Lorentz invariance is b roken by the gravitational field Machian reference systems. This break ing of symmetry implies the occurrence of 'hidden matter'' in the Eins tein equations of gravity. The hidden matter is described by the non-L orentz-invariant energy-momentum tensor <(Theta)over cap>(ik) satisfyi ng the relation <(Theta)over cap>(k)(i):(k) = 0. The tensor <(Theta)ov er 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 lambd a 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 ca p>(ik) According to this theory, in the universe and in cosmic systems one must except ''invisible masses'' described by the Poincare and Ei nstein-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 intera cting matter'' discussed in astrophysics.