{"title":"The correspondence of generalised entropic cosmology theory with F(T) and F(Q) modified gravity and gravitational waves","authors":"Shin’ichi Nojiri , Sergei D. Odintsov","doi":"10.1016/j.dark.2025.101899","DOIUrl":null,"url":null,"abstract":"<div><div>We investigate the correspondence between modified gravity theories and general entropic cosmology theory. Such a theory is proposed by an analogy with Jacobson’s work, where the Einstein equation was derived from the Bekenstein–Hawking entropy. We compare FLRW equations obtained in entropic gravity with those in modified gravity theories. It is found the correspondence of <span><math><mrow><mi>F</mi><mrow><mo>(</mo><mi>T</mi><mo>)</mo></mrow></mrow></math></span> and <span><math><mrow><mi>F</mi><mrow><mo>(</mo><mi>Q</mi><mo>)</mo></mrow></mrow></math></span> gravities and general entropic gravity. We regard the <span><math><mrow><mi>F</mi><mrow><mo>(</mo><mi>T</mi><mo>)</mo></mrow></mrow></math></span> and <span><math><mrow><mi>F</mi><mrow><mo>(</mo><mi>Q</mi><mo>)</mo></mrow></mrow></math></span> gravity theories as effective local theories corresponding to the entropic gravity theories and we investigate the gravitational waves. The obtained equation of the gravitational wave is identical to that in Einstein’s gravity except that the gravitational coupling is modified by the functional form of the functions <span><math><mrow><mi>F</mi><mrow><mo>(</mo><mi>T</mi><mo>)</mo></mrow></mrow></math></span> and <span><math><mrow><mi>F</mi><mrow><mo>(</mo><mi>Q</mi><mo>)</mo></mrow></mrow></math></span>. It is interesting that in the case of the Tsallis entropic cosmology, the gravitational coupling becomes small or large, which may suppress or enhance the emission of the gravitational wave.</div></div>","PeriodicalId":48774,"journal":{"name":"Physics of the Dark Universe","volume":"48 ","pages":"Article 101899"},"PeriodicalIF":5.0000,"publicationDate":"2025-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of the Dark Universe","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2212686425000925","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
We investigate the correspondence between modified gravity theories and general entropic cosmology theory. Such a theory is proposed by an analogy with Jacobson’s work, where the Einstein equation was derived from the Bekenstein–Hawking entropy. We compare FLRW equations obtained in entropic gravity with those in modified gravity theories. It is found the correspondence of and gravities and general entropic gravity. We regard the and gravity theories as effective local theories corresponding to the entropic gravity theories and we investigate the gravitational waves. The obtained equation of the gravitational wave is identical to that in Einstein’s gravity except that the gravitational coupling is modified by the functional form of the functions and . It is interesting that in the case of the Tsallis entropic cosmology, the gravitational coupling becomes small or large, which may suppress or enhance the emission of the gravitational wave.
期刊介绍:
Physics of the Dark Universe is an innovative online-only journal that offers rapid publication of peer-reviewed, original research articles considered of high scientific impact.
The journal is focused on the understanding of Dark Matter, Dark Energy, Early Universe, gravitational waves and neutrinos, covering all theoretical, experimental and phenomenological aspects.