Published 1983 | Version v1
Miscellaneous

Representation of SO(4,1) group and Hawking effect in the de-Sitter space

  • 1. AN Belorusskoj SSR, Minsk. Inst. Fiziki

Description

Expression relating the solution of the equation for particles with spin 1/2 to matrix elements of group SO(4, 1), is obtained. When using the relation of the Dirac equation solutions in the de Sitter space with matrix elements of representations of group SO(4, 1) the presence of the Hawking effect in the space is established. The de Sitter space is considered as 4-dimensional hyperboloid, inserted into 5-dimensional pseudo-Euclidean space. It is established, that the average number of emitted spinor particles obeys the Fermi-Dirac distribution

Additional details

Additional titles

Original title (Russian)
Представления группы SO(4,1) и эффект Хокинга в пространстве де Ситтера

Publishing Information

Imprint Title
Group theoretical methods in physics. V. 1
Journal Page Range
p. 70-77.
Report number
INIS-SU--342

Conference

Title
2. International seminar Group theoretical methods in physics.
Dates
24-26 Nov 1982.
Place
Zvenigorod (USSR).

Optional Information

Notes
Imprint:Teoretiko-gruppovye metody v fizike. Tom 1.;Trudy mezhdunarodnogo seminara.