Particle creation in flat FRW Universe in the framework of $f(T)$ gravity

Physics – General Physics

Scientific paper

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11 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1105.3165

Scientific paper

In this paper we study the particle production in flat FRW universe in the framework of $f(T)$ gravity. Here we consider $f(T)$ theory of gravity coupled to the matter, and assuming an exact power-law solution for the field equation, we obtain a constrain on the torsion and it appears that at the late time, the finite future time singularity (big rip) can occur. The Bogoliubov coefficients are calculated for the minimally coupled massless scalar field, from which the total number of created particle per unit volume of space can be obtained. Our result shows that the particle creation rate in the framework of $f(T)$ theory of gravity is almost the same as in framework of General Relativity at early times, while, as the late time is approached, it decreases and goes to zero. We conclude that quantum effects due to particle production cannot avoid the big rip.

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