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Hubble inflation in Randall-Sundrum type II model

Abedi, H; Abbassi, AM; Bahamonde, S; (2020) Hubble inflation in Randall-Sundrum type II model. International Journal of Modern Physics D , 29 (6) , Article 2050037. 10.1142/S0218271820500376.

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We study a braneworld Randall–Sundrum type II (RSII) model using the Hamilton–Jacobi formalism. We extend the standard inflationary parameters and the flow equations for this braneworld scenario. We investigate the conditions that reduce the infinite number of flow equations into a finite number and confirm that by considering one of the inflationary parameters that vanishes, the Hubble expansion rate gets a polynomial form in both General Relativity (GR) and in the high-energy regime of RSII. We also show that if one sets this inflationary parameter to a constant value, the model features a nonpolynomial form of the Hubble expansion rate. The form of the Hubble parameter in this case is different in GR and RSII. Next, we consider a single-scalar field model with a Hubble expansion rate behaving as H∝ϕn and show that compared to GR, the RSII model has a smaller tensor-to-scalar ratio and larger spectral index for n>1. Therefore, RSII model leads to better predictions than GR.

Type: Article
Title: Hubble inflation in Randall-Sundrum type II model
DOI: 10.1142/S0218271820500376
Publisher version: https://doi.org/10.1142/S0218271820500376
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Inflation, braneworld scenario, flow equations
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
URI: https://discovery.ucl.ac.uk/id/eprint/10102735
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