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Cosmological Model in 2d Dilaton Gravity

1993/01/01 by Takashi Mishima, Akika Nakamichi
Mathematics · Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Conformal map #Cosmology #Cosmology and Gravitation Theories #Dark energy #De Sitter universe #Dilaton #Geometry #Homogeneity (statistics) #Homogeneous #Mathematical physics #Mathematics #Metric expansion of space #Physics #Relativity and Gravitational Theory #Statistical physics #String (physics) #Theoretical physics #Universe #hep-th

paper · pdf · doi:10.1143/ptps.114.207

published as Prog.Theor.Phys.Suppl.114:207-219,1993 · 20 pages, phyzzx, TIT/HEP-225/COSMO-33

openalex publication_date 1993/01/01 · arxiv created 1993/06/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We apply CGHS-type dilaton gravity model to (1+1)-dimensional cosmological situations. First the behavior of a compact 1-dimensional universe (i.e. like a closed string) is classified on the assumption of homogeneity of universe. Several interesting solutions are found, which include a Misner-type universe having closed time-like curves, and an asymptotically de Sitter universe first pointed out by Yoshimura. In the second half of this paper, we discuss the modification of the classical homogeneous solutions, considering inhomogeneity of classical conformal matters and also quantum back-reaction respectively.

Citations