Journal of Holography Applications in Physics
Einstein-Aether Scalar-Tensor Anisotropic Constant-Roll Inflationary Scenario in Noncommutative Phase Space
Document Type : Regular article
Authors
1 Department of Physics, University of Trieste, Via Valerio, 2 34127 Trieste, Italy
2 Department of Physics, Faculty of Basic Sciences, University of Mazandaran P. O. Box 47416-95447, Babolsar, Iran.
Abstract
The primary purpose of this study is to investigate the constant-roll inflationary scenario with anisotropic conditions concerning the Einstein-aether Scalar-tensor Cosmology in noncommutative phase space. We first introduce an Einstein-aether scalar-tensor cosmological model. In this structure, one can introduce an aether field with aether coefficients in the action integral of scalar-tensor. It will be a function of the scalar field, which is, in fact, a kind of extender of the Lorentz-violating theories. Hence, we present the point-like Lagrangian, which represents the field equations of the Einstein-aether scalar-tensor model. Then we calculate the Hamiltonian of our model directly. According to the noncommutative phase space characteristics, we will calculate the specific equations of this model. Then, according to the constant-roll conditions, we take the anisotropic constant-roll inflationary scenario and calculate some cosmological parameters of the mentioned model, such as the Hubble parameter, potential, etc.
Keywords
- Anisotropic Constant-Roll
- Noncommutative Parameter
- Einstein-Aether Scalar-Tensor
- Inflationary Scenario
Main Subjects
Article PDF
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[57] J. M. Carmona, J. L. Cortes, J. Gamboa, and F. Mendez, "Noncommutativity in eld space and Lorentz invariance violation", Phys. Lett. B 565, 222 (2003).
[58] G. Amelino-Camelia, G. Mandanici, and K. Yoshida, "On the IR/UV mixing and experimental limits on the parameters of canonical noncommutative spacetimes", JHEP 0401, 037 (2004).
[59] X. Calmet, "What are the bounds on space-time non-commutativity?", The European Physical Journal C 41, 269 (2005).
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[62] Q. C. Huang, and M. Li, "CMB power spectrum from noncommutative spacetime", JHEP 0306, 014 (2003).
[63] S. Tsujikawa, R. Maartens, and R. Brandenberger, "Non-commutative in ation and the CMB", Phys. Lett. B 574, 141 (2003).
[64] Q. C. Huang, and M. Li, "Noncommutative in ation and the CMB multipoles", JCAP 0311, 001 (2003).
[65] H. Kim, G.S. Lee, and Y.S. Myung, "Noncommutative spacetime eect on the slow-roll period of in ation", Mod. Phys. Lett. A 20, 271 (2005).
[66] J. Sadeghi, S. Noori Gashti, "Anisotropic constant-roll in ation with noncommutative model and swampland conjectures", The European Physical Journal C 81, 301 (2021).
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)
Volume 2, Issue 4
November 2022Pages 63-81
- Receive Date: 28 June 2022
- Revise Date: 18 August 2022
- Accept Date: 10 September 2022