2016/01/21 by Suman Ghosh · 18 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Formalism (music) #Geometry #Inverse #Mathematical physics #Mathematics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Spacetime #gr-qc
paper · pdf · doi:10.1103/physrevd.93.044032
published in Physical review. D/Physical review. D. 93(4) (American Physical Society) · 12 pages, 10 figures, version accepted for publication in Physical Review D. arXiv admin note: substantial text overlap with arXiv:1506.06909
arxiv created 2016/01/21 · openalex publication_date 2016/02/11 · arxiv updated 2016/03/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We construct a simple algorithm to derive number density of spin 1/2 particles created in spatially flat Friedmann-Lemaitre-Robertson-Walker spacetimes and resulting renormalized energy-momentum tensor within the framework of adiabatic regularization. Physical quantities thus found are in agreement with the known results. This formalism can be considered as an appropriate extension of the techniques originally introduced for scalar fields, applicable to fermions in curved space. We apply this formalism to compute the particle number density and the renormalized energy density and pressure analytically (wherever possible) and numerically, in two interesting cosmological scenarios: a de Sitter spacetime and a radiation dominated universe. Results prove the efficiency of the methodology presented here.