Asymptotically equivalent functions and ultrafilters applied to noncommutative quantum cosmology

• J.A. Astorga-Moreno ^[1] ; E.A. Mena-Barboza ^[1] ; M.A. García-Aspeitia ^[2]
  1. [1] Universidad de Guadalajara

     Universidad de Guadalajara

     México

     
  2. [2] Consejo Nacional de Ciencia y Tecnología, Ciudad de México
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 65, Nº. 5, 2019, págs. 519-528
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • Using the semi-classical approximation to the Wheeler-DeWitt equation obtained via Arnowitt-Deser-Misner (ADM) formalism in the Friedmann-Lemaˆıtre-Robertson-Walker (FLRW) model coupled to a scalar field with positive cosmological constant in the Kantowski-Sachs (KS) Universe, we introduced a deformation on the commutation relation for the minisuperspace variables and find an explicit semiclassical expression equivalent, in an adequate limit, to the solution with the aid of asymptotically equal functions and the theory of Ultrafilters, offering a suggestive alternative to sketch the behavior of the dynamical system involved without the need to solve it numerically.