Classical and quantum cosmology of Fab Four John theories

Isaac Torres (PPGFis, CCE, Universidade Federal do Espírito Santo, Vitória, Brazil) ; Júlio C. Fabris (Núcleo Cosmo-ufes, Departamento de Física, Universidade Federal do Espírito Santo, Vitória, Brazil; National Research Nuclear University MEPhI, Moscow, Russia) ; Oliver F. Piattella (Núcleo Cosmo-ufes, Departamento de Física, Universidade Federal do Espírito Santo, Vitória, Brazil; Institut für Theoretische Physik, Ruprecht-Karls-Universität Heidelberg, Heidelberg, Germany)

We study the John term of Fab Four cosmology in the presence of a scalar potential. We show here how this theory can describe a wide range of cosmological solutions. This theory has two general functions of the scalar field: the potential V(ϕ) and the John coefficient function Vj(ϕ). We show that for very simple choices of those functions, we can describe an accelerated expansion, a radiation-dominated era, and a matter-dominated era. By means of simple modifications, it is also possible to describe nonsingular bouncing versions of those solutions and cyclic universes. We also address some quantum issues of that theory, showing that, for the most significant singular cases, the theory admits a classically well behaved quantization, even though the Hamiltonian has fractional powers in the momenta.

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      "surname": "Torres", 
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      "surname": "Fabris", 
      "given_names": "J\u00falio C.", 
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      "surname": "Piattella", 
      "given_names": "Oliver F.", 
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      "title": "Classical and quantum cosmology of Fab Four John theories"
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      "source": "Elsevier", 
      "value": "We study the John term of Fab Four cosmology in the presence of a scalar potential. We show here how this theory can describe a wide range of cosmological solutions. This theory has two general functions of the scalar field: the potential <math><mi>V</mi><mo>(</mo><mi>\u03d5</mi><mo>)</mo></math> and the John coefficient function <math><msub><mrow><mi>V</mi></mrow><mrow><mi>j</mi></mrow></msub><mo>(</mo><mi>\u03d5</mi><mo>)</mo></math>. We show that for very simple choices of those functions, we can describe an accelerated expansion, a radiation-dominated era, and a matter-dominated era. By means of simple modifications, it is also possible to describe nonsingular bouncing versions of those solutions and cyclic universes. We also address some quantum issues of that theory, showing that, for the most significant singular cases, the theory admits a classically well behaved quantization, even though the Hamiltonian has fractional powers in the momenta."
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Published on:
07 October 2019
Publisher:
Elsevier
Published in:
Physics Letters B , Volume 798 C (2019)

Article ID: 135003
DOI:
https://doi.org/10.1016/j.physletb.2019.135003
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: