{"title":"Red or blue tensor spectrum from GW170817-compatible Einstein-Gauss-Bonnet theory: A detailed analysis","authors":"Vasilis K. Oikonomou, Pyotr Tsyba, Olga Razina","doi":"10.1209/0295-5075/ad239c","DOIUrl":null,"url":null,"abstract":"<jats:title>Abstract</jats:title> In this work we shall prove that the tensor spectral index of the&#xD;primordial tensor perturbations for GW170817-compatible&#xD;Einstein-Gauss-Bonnet theories, takes the approximate simplified&#xD;form $n_{\\mathcal{T}}\\simeq 2\\left(-1+\\frac{1}{\\lambda(\\phi)}&#xD;\\right)\\epsilon_1$ at leading order, with $\\lambda (\\phi)$ being a&#xD;function of the scalar field which depends on the scalar field&#xD;potential and the second derivative of the scalar-Gauss-Bonnet&#xD;coupling $\\xi''(\\phi)$. With our analysis we aim to provide a&#xD;definitive criterion for selecting Einstein-Gauss-Bonnet models&#xD;that can provide a blue-tilted inflationary phenomenology, by&#xD;simply looking at the scalar potential and the scalar-Gauss-Bonnet&#xD;coupling. We shall prove this using two distinct approaches and as&#xD;we show the tilt of the tensor spectral index is determined by the&#xD;values of the potential $V(\\phi)$ and of scalar-Gauss-Bonnet&#xD;coupling at first horizon crossing. Specifically the blue-tilted&#xD;tensor spectral index can occur when $\\xi''(\\phi_*)V(\\phi_*)>0$ at&#xD;first horizon crossing.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":1.8000,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"EPL","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1209/0295-5075/ad239c","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract In this work we shall prove that the tensor spectral index of the
primordial tensor perturbations for GW170817-compatible
Einstein-Gauss-Bonnet theories, takes the approximate simplified
form $n_{\mathcal{T}}\simeq 2\left(-1+\frac{1}{\lambda(\phi)}
\right)\epsilon_1$ at leading order, with $\lambda (\phi)$ being a
function of the scalar field which depends on the scalar field
potential and the second derivative of the scalar-Gauss-Bonnet
coupling $\xi''(\phi)$. With our analysis we aim to provide a
definitive criterion for selecting Einstein-Gauss-Bonnet models
that can provide a blue-tilted inflationary phenomenology, by
simply looking at the scalar potential and the scalar-Gauss-Bonnet
coupling. We shall prove this using two distinct approaches and as
we show the tilt of the tensor spectral index is determined by the
values of the potential $V(\phi)$ and of scalar-Gauss-Bonnet
coupling at first horizon crossing. Specifically the blue-tilted
tensor spectral index can occur when $\xi''(\phi_*)V(\phi_*)>0$ at
first horizon crossing.
期刊介绍：
General physics – physics of elementary particles and fields – nuclear physics – atomic, molecular and optical physics – classical areas of phenomenology – physics of gases, plasmas and electrical discharges – condensed matter – cross-disciplinary physics and related areas of science and technology.
Letters submitted to EPL should contain new results, ideas, concepts, experimental methods, theoretical treatments, including those with application potential and be of broad interest and importance to one or several sections of the physics community. The presentation should satisfy the specialist, yet remain understandable to the researchers in other fields through a suitable, clearly written introduction and conclusion (if appropriate).
EPL also publishes Comments on Letters previously published in the Journal.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
