Open AccessHyperbolic space cosmologies
Author(s) -
Chiang-Mei Chen,
Pei-Ming Ho,
Ishwaree P. Neupane,
John E. Wang,
Nobuyoshi Ohta
Publication year - 2003
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2003/10/058
Subject(s) - friedmann–lemaître–robertson–walker metric , spacetime , physics , brane , universe , space (punctuation) , hyperbolic space , field (mathematics) , theoretical physics , product topology , hyperbolic manifold , pure mathematics , mathematical physics , classical mechanics , mathematical analysis , mathematics , hyperbolic function , quantum mechanics , computer science , operating system
We present a systematic study of accelerating cosmologies obtained fromM/string theory compactifications of hyperbolic spaces with time-varyingvolume. A set of vacuum solutions where the internal space is a product ofhyperbolic manifolds is found to give qualitatively the same acceleratingfour-dimensional FLRW universe behavior as a single hyperbolic space. We alsoexamine the possibility that our universe is a hyperbolic space and provideexact Milne type solutions, as well as intersecting S-brane solutions. Whenboth the usual 4D spacetime and the m-dimensional internal space arehyperbolic, we find eternally accelerating cosmologies for $m\geq 7$, with andwithout form field backgrounds. In particular, the effective potential for amagnetic field background in the large 3 dimensions is positive definite with alocal minimum and thus enhances the eternally accelerating expansion.Comment: 33 pages, 2 figures; v2 refs added; v3 minor change in text, JHEP versio
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom