Absorption Probability of De Sitter Horizon for Massless Fields With Spin

Abstract

The evaluation of the absorption coefficients are important for particle emission caused by Hawking radiation. In the case of cosmological particle emission from the event horizon in De Sitter space, it is known that the scalar wave functions are solved in terms of Legendre functions. For fields with higher spin, the solution has been examined with low frequency approximation. We shows that the radial equations of the fields with spin 0, 1/2, 1 and 2 can be solved analytically in terms of the hypergeometric functions.We calculate the absorption probability using asymptotic expansion for high frequency limit. It turns out that the absorption coefficients are universal to all bosonic fields; They depend only on the angular momentum and not spin. In the case of spin 1/2 fermions, we can also find non-vanishing absorption probability in contrast to the previously known result.

Absorption and quasinormal modes of classical fields propagating on 3D and 4D de Sitter spacetime

“…(20) are hypergeometric functions [28]. In the following, we study in detail the case B 1 = B 2 = |m|.…”

“…In the present paper we continue to investigate the dynamics of different classical fields propagating in de Sitter metric as in Refs. [10][11][12][13][14][15][16][17][18][19][20][21]. First, we find exact solutions of the equations of motion for several classical fields moving in de Sitter spacetime.…”

Quasinormal modes of D-dimensional de Sitter spacetime

“…For this reason, in Refs. [42][43][44][68][69][70][71][72][73][74][75][76][77][78][79][80] the propagation of classical fields in 4D de Sitter spacetime was analyzed. Furthermore, in some of these references the QNMs of the de Sitter spacetime were defined and analytically calculated.…”

Absorption Cross-Section in De Sitter Space

“…At this stage we wish to comment on the other approach of Suzuki and Takasugi in deriving the absorption cross section in de Sitter space [17]. Actually a definition of absorption probability Eq.…”