2019/04/15 by A. V. Aminova, Asya V. Aminova, Aminova, Asya V. +2
Mathematics · Physics and Astronomy · #83E50 #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #gr-qc #msc:83E50
paper · pdf · doi:10.48550/arxiv.1904.07156
8 pages
arxiv created 2019/04/15 · openalex publication_date 2019/04/15 · arxiv updated 2019/04/16 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28
In \citeAminMoc we defined the Minkowski superspace SM(4,4\vert λ, μ) as the invariant of the Poincare supergroup of supertransformations, which is a solution of Killing superequations. In the present paper we use formulae of super-Riemannian geometry developed by V.~P. Akulov and D.~V. Volkov \citeAkVolk for calculating a superconnection and a supercurvature of Minkowski superspace. We show that the curvature of the Minkowski superspace does not vanish, and the Minkowski supermetric is the solution of the Einstein superequations, so the eight-dimensional curved super-Poincare invariant superuniverse SM(4,4\vert λ, μ) is supported by purely fermionic stress-energy supertensor with two real parameters λ, μ, and, moreover, it has non-vanishing cosmological constant Λ=12/(λ2 -μ2) defined by these parameters that could mean a new look at the cosmological constant problem.