Is the cosmic no hair conjecture true in the Einstein-Maxwell-dilaton system?

Kengo Maeda, Makoto Narita, Shingo Suzuki, Takashi Torii

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We investigate the gravitational collapsing phenomenon in the spherically symmetric Einstein-Maxwell-dilaton system with a positive cosmological constant. As a preparation, we first study some general properties of the horizons in asymptotically de Sitter space-time and prove that the area of the horizons does not decrease and has an upper bound if the matter fields satisfy the dominant energy condition. By using these results, we analytically show that once gravitational collapse occurs from any initial data on a null hypersurface, the system of field equations breaks down inevitably in the domain of outer communications or the boundary, i.e. the black hole event horizon provided that a future null infinity I+ exists, or the asymptotic structure at I+ is broken and the universe will recollapse. In order to clarify which history does the universe trace, we perform a numerical simulation. Then, the dilaton field diverges faster than the logarithmic function almost uniformly and the asymptotic structure would be broken. This implies that the cosmic no hair conjecture is violated in the generalized theory of gravity.

Original languageEnglish
Pages (from-to)1501-1530
Number of pages30
JournalInternational Journal of Modern Physics A
Volume16
Issue number9
DOIs
Publication statusPublished - 2001 Apr 10
Externally publishedYes

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hair
horizon
universe
gravitational collapse
event horizon
infinity
breakdown
communication
histories
gravitation
preparation
simulation
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Mathematical Physics
  • Nuclear and High Energy Physics

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Is the cosmic no hair conjecture true in the Einstein-Maxwell-dilaton system? / Maeda, Kengo; Narita, Makoto; Suzuki, Shingo; Torii, Takashi.

In: International Journal of Modern Physics A, Vol. 16, No. 9, 10.04.2001, p. 1501-1530.

Research output: Contribution to journalArticle

Maeda, Kengo ; Narita, Makoto ; Suzuki, Shingo ; Torii, Takashi. / Is the cosmic no hair conjecture true in the Einstein-Maxwell-dilaton system?. In: International Journal of Modern Physics A. 2001 ; Vol. 16, No. 9. pp. 1501-1530.
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