Schwinger Effect in a Robertson-Walker Space-Time

Abstract

The problem of particle creation from vacuum in a flat Robertson-Walker spacetime in the presence of a varying electric field is studied. The Klein Gordon equation is exactly solved when the scale factor is a(η) = A + B tanh(λη). The canonical method based on Bogoliubov transformation is applied. The pair creation probability and the density number of created particles are calculated. The particular case of radiation dominated universe is considered where the total probability is written as a Schwinger-like series. It is shown that the electric field amplifies gravitational particle creation.

Influence of a cosmic string on the rate of pairs produced by the Coulomb potential

“…The creation of particles by an electric field in curved spacetime is an active research field and continue to attract attentions as in the cosmological models of an expanding universe [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. On the other hand, the creation of particles by the Coulomb potential of an external electric field is a topic that has received a special interest [4,[17][18][19][20][21][22] and the references cited in the three relevant reviews [23][24][25].…”

Effect of the electric field on the creation of fermions in de-Sitter space-time

“…This idea resembles to the assumption of the anisotropy of the early universe although the present universe is isotropic. We note that the influence of electric field on the particle creation in expanding universe has been studied in several models describing different stages of the cosmic evolution [11,15,[25][26][27][28][29][30][31].…”

Effect of electromagnetic fields on the creation of scalar particles in a flat Robertson–Walker space-time

“…This is due to the fact that created particles has an inverse effect on the electric field [22]. We note that the creation of scalar particles in electromagnetic and gravitational fields is discussed in several situations [18][19][20][21][22].…”