Volume
51
Year
2013
Source
CHINESE JOURNAL OF PHYSICS
Format Published
PDF
Abstract
The behaviour of the Dirac eld in a FRW space-time is investigated. The relevant equations
are solved to determine the particle and energy distribution. The angular and radial
parts are solved in terms of Jacobi polynomials. The time dependence of the massive eld is
solved in terms of known functions only for the radiation lled
at space. The WKB method
is used for the approximate solution in a general FRW space. Of the two independent solutions,
one is found to decay in time as the Universe expands, while the other solution grows.
This could be the source of the local particle current. The behaviour of the particle number
and energy density are also investigated. It is found that the particles arrange themselves in
a number and density distribution pattern that produces a constant Newtonian potential, as
required for the
at rotation curves of galaxies. Furthermore, the density contrast is found
to grow with the expansion.
Call. No.
EA 83
IndexDate
1397/10/23
Indexer
Dashagha
Title of Article
Dirac Field in FRW Spacetime: Current and Energy Momentum
RecordNumber
84
Issue/Number
5
Author/Authors