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Two-field Cosmological alpha-attractors with Noether Symmetry

Lilia Anguelova · CERN

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About

We study Noether symmetries in two-field cosmological alpha-attractors, investigating the case when the scalar manifold is an elementary hyperbolic surface. This encompasses and generalizes the case of the Poincare disk. We solve the conditions for the existence of a `separated' Noether symmetry and find the form of the scalar potential compatible with such, for any elementary hyperbolic surface. For this class of symmetries, we find that the alpha-parameter must have a fixed value. Using those Noether symmetries, we also obtain many exact solutions of the equations of motion of these models, which were studied previously with numerical methods..

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The talk

  1. Two-field Cosmological alpha-attractors with Noether Symmetry 2019-06-25 · 15 min · CERN's player

Credits and licence

Institution
CERN
Department
Conferences & Workshops
Speaker
Lilia Anguelova
Year
2019
Language
English
Source
CERN
Licence
CERN, as CERN states it. CERN's terms
Attribution
© CERN. CERN provides its audiovisual media free of charge for educational and informational use, credited to CERN; this lecture is shown in CERN's own player.
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