{"title":"Different horizon cut-offs for Tsallis, Rényi and Sharma-Mittal holographic dark energies in Hořava-Lifshitz gravity","authors":"Alok Sardar , Sayani Maity , Ujjal Debnath , Anirudh Pradhan","doi":"10.1016/j.aop.2024.169891","DOIUrl":null,"url":null,"abstract":"<div><div>This study evaluates the cosmic expansion history of the universe using Tsallis, Rényi and Sharma-Mittal holographic dark energy models in a non-flat universe. The modified field equations for logarithmic and power law entropy corrected models have been investigated in Hořava-Lifshitz gravity. We suppose the universe is filled with dark energy and interacting cold dark matter. Considering the Hubble horizon and Granda-Oliveros (GO) as infrared cut-offs, we analyze the cosmological implication of the equation of state parameter, squared sound speed, and <span><math><mrow><msub><mrow><mi>ω</mi></mrow><mrow><mi>d</mi></mrow></msub><mtext>–</mtext><msubsup><mrow><mi>ω</mi></mrow><mrow><mi>d</mi></mrow><mrow><mo>′</mo></mrow></msubsup></mrow></math></span> phase plane graphically during the cosmic evolution. By the equation of state parameters, we see how the universe evolved at different stages in the models we consider. We obtain the thawing or freezing regions by analyzing the phase plane <span><math><mrow><msub><mrow><mi>ω</mi></mrow><mrow><mi>d</mi></mrow></msub><mtext>–</mtext><msubsup><mrow><mi>ω</mi></mrow><mrow><mi>d</mi></mrow><mrow><mo>′</mo></mrow></msubsup></mrow></math></span>. We also demonstrate the classically stable or unstable behavior of the considered models by studying the squared sound speed parameter.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"473 ","pages":"Article 169891"},"PeriodicalIF":3.0000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0003491624002987","RegionNum":3,"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
This study evaluates the cosmic expansion history of the universe using Tsallis, Rényi and Sharma-Mittal holographic dark energy models in a non-flat universe. The modified field equations for logarithmic and power law entropy corrected models have been investigated in Hořava-Lifshitz gravity. We suppose the universe is filled with dark energy and interacting cold dark matter. Considering the Hubble horizon and Granda-Oliveros (GO) as infrared cut-offs, we analyze the cosmological implication of the equation of state parameter, squared sound speed, and phase plane graphically during the cosmic evolution. By the equation of state parameters, we see how the universe evolved at different stages in the models we consider. We obtain the thawing or freezing regions by analyzing the phase plane . We also demonstrate the classically stable or unstable behavior of the considered models by studying the squared sound speed parameter.
期刊介绍:
Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance.
The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.