The paradox of soft singularity crossing avoided by distributional cosmological quantities

Alexander Kamenshchik, Zoltán Keresztes, László Gergely

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

A flat Friedmann universe filled with a mixture of anti-Chaplygin gas and dust-like matter evolves into a future soft singularity, where despite infinite tidal forces the geodesics can be continued. In the singularity the pressure of the anti-Chaplygin gas diverges, while its energy density is zero. The dust energy density however does not vanish, neither does the Hubble parameter, which implies further expansion, if its evolution is to be continuous. If so, the energy density and the pressure of the anti-Chaplygin gas would become ill-defined, hence only a contraction would be allowed. Paradoxically, the universe in this cosmological model would have to expand and contract simultaneously. The paradox can be avoided by redefining the anti-Chaplygin gas in a distributional sense. Then the Hubble parameter could be mirrored to have a jump at the singularity, allowing for a subsequent contraction. With this modification the set of Friedmann, Raychaudhuri and continuity equations are all obeyed both at the singularity and in its vicinity.

Original languageEnglish
Title of host publicationOn Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
EditorsKjell Rosquist, Robert T. Jantzen, Remo Ruffini, Remo Ruffini
PublisherWorld Scientific
Pages1847-1849
Number of pages3
Edition210699
ISBN (Print)9789814612142
DOIs
Publication statusPublished - Jan 1 2015
Event13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, MG13 2012 - Stockholm, Sweden
Duration: Jul 1 2015Jul 7 2015

Publication series

NameThe 13th Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity, 2012
Number210699

Other

Other13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, MG13 2012
CountrySweden
CityStockholm
Period7/1/157/7/15

Keywords

  • Anti-Chaplygin gas
  • Distributions
  • Singularity

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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  • Cite this

    Kamenshchik, A., Keresztes, Z., & Gergely, L. (2015). The paradox of soft singularity crossing avoided by distributional cosmological quantities. In K. Rosquist, R. T. Jantzen, R. Ruffini, & R. Ruffini (Eds.), On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories (210699 ed., pp. 1847-1849). (The 13th Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity, 2012; No. 210699). World Scientific. https://doi.org/10.1142/9789814623995_0295