Gravitational backreaction effect of Schwinger pair production in a strong electric field in de Sitter spacetime

In this paper, a massive charged scalar field in a uniform strong electric field background in a de Sitter
spacetime of arbitrary dimension has been considered. Using Bogoliubov coefficients, we obtain the
semiclassical energy-momentum tensor of the Schwinger pairs in the strong electric field limit. We have
shown that the trace of the semiclassical energy-momentum tensor vanishes. We have found that the
nonvanishing components of the semiclassical energy-momentum tensor increase by a power of the electric
field. Our results of the semiclassical energy-momentum tensor would be important for discussing the
gravitational backreaction effect of the Schwinger pair production. We have shown that the Hubble constant decays and the time scale of the decay decreases by a power of the electric field