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Generalized α-Attractor Models from Elementary Hyperbolic Surfaces
Joint Authors
Lazaroiu, Calin Iuliu
Babalic, Elena Mirela
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-19
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
We consider generalized α-attractor models whose scalar potentials are globally well-behaved and whose scalar manifolds are elementary hyperbolic surfaces.
Beyond the Poincaré disk D, such surfaces include the hyperbolic punctured disk D⁎ and the hyperbolic annuli A(R) of modulus μ=2logR>0.
For each elementary surface, we discuss its decomposition into canonical end regions and give an explicit construction of the embedding into the Kerekjarto-Stoilow compactification (which in all three cases is the unit sphere), showing how this embedding allows for a universal treatment of globally well-behaved scalar potentials upon expanding their extension in real spherical harmonics.
For certain simple but natural choices of extended potentials, we compute scalar field trajectories by projecting numerical solutions of the lifted equations of motion from the Poincaré half plane through the uniformization map, thus illustrating the rich cosmological dynamics of such models.
American Psychological Association (APA)
Babalic, Elena Mirela& Lazaroiu, Calin Iuliu. 2018. Generalized α-Attractor Models from Elementary Hyperbolic Surfaces. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-24.
https://search.emarefa.net/detail/BIM-1119262
Modern Language Association (MLA)
Babalic, Elena Mirela& Lazaroiu, Calin Iuliu. Generalized α-Attractor Models from Elementary Hyperbolic Surfaces. Advances in Mathematical Physics No. 2018 (2018), pp.1-24.
https://search.emarefa.net/detail/BIM-1119262
American Medical Association (AMA)
Babalic, Elena Mirela& Lazaroiu, Calin Iuliu. Generalized α-Attractor Models from Elementary Hyperbolic Surfaces. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-24.
https://search.emarefa.net/detail/BIM-1119262
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119262