Global dynamics of the Hořava–Lifshitz cosmological system

  • Fabao Gao
  • Jaume LlibreEmail author
Research Article


Using the qualitative theory of the differential equations we describe the global dynamics of the cosmological model based on Hořava–Lifshitz gravity in a Friedmann–Lemaître–Robertson–Walker space time with zero curvature and without the cosmological constant term.


Hořava–Lifshitz Global dynamics Cosmology Poincaré compactification 



The first author gratefully acknowledges the support of the National Natural Science Foundation of China (NSFC) through Grant Nos. 11672259 and 11571301, the China Scholarship Council through Grant No. 201908320086, the Ministry of Land and Resources Research of China in the Public Interest through Grant No. 201411007. The second author gratefully acknowledges the support of the Ministerio de Econom\(\acute{\i }\)a, Industria y Competitividad, Agencia Estatal de Investigación Grants MTM2016-77278-P (FEDER) and MDM-2014-0445, the Ag\(\grave{e}\)ncia de Gestió d’Ajuts Universitaris i de Recerca Grant 2017SGR1617, and the H2020 European Research Council Grant MSCA-RISE-2017-777911.


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Mathematical ScienceYangzhou UniversityYangzhouChina
  2. 2.Departament de MatemàtiquesUniversitat Autònoma de BarcelonaBarcelonaSpain

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