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This work was supported in its final stage by FONDOCYT project 2022-1D2-091 of Ministerio de Educacion Superior, Ciencia y Tecnologia de la Republica Dominicana.
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Morales-Ruiz, Juan JAuthorNonintegrability of the Axisymmetric Bianchi IX Cosmological Model via Differential Galois Theory
Publicated to:Siam Journal On Applied Dynamical Systems. 24 (1): 815-835 - 2025-01-01 24(1), DOI: 10.1137/23M1623070
Authors: Acosta-Humanez, Primitivo B; Morales-Ruiz, Juan J; Stuchi, T J
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Abstract
We investigate the integrability of an anisotropic universe with matter and cosmological constant formulated as Bianchi IX models. The presence of the cosmological constant causes the existence of a critical point in the finite part of the phase space. The separatrix associated to Einstein's static universe is entirely contained in an invariant isotropic plane forgetting the singularity at the origin. This invariant plane of isotropy is an integrable subspace of the Taub type. In this paper we analyse the differential Galois group of the second order variational equations to this plane in order to apply the integrability theorem of the second author with Ramis and Simo'\. The main result is that the model is nonintegrable by meromorphic functions.
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Bibliometric impact. Analysis of the contribution and dissemination channel
The work has been published in the journal Siam Journal On Applied Dynamical Systems due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2025, it was in position 23/61, thus managing to position itself as a Q1 (Primer Cuartil), in the category Physics, Mathematical.
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This work has been carried out with international collaboration, specifically with researchers from: Brazil; Dominica.