{"title":"曲率驱动的加速度和纳什理论中的真空概念","authors":"Soumya Chakrabarti, Soumya Bhattacharya, Rabin Banerjee, Amitabha Lahiri","doi":"10.1140/epjp/s13360-025-06258-4","DOIUrl":null,"url":null,"abstract":"<div><p>We discuss the cosmological implications in the <i>Nash theory</i> of gravity, where the field equations are derived from a lagrangian quadratic in Ricci invariants. A spatially homogeneous exact solution is found which can serve as a cosmological toy model. The implications of this model (departures from a standard <span>\\(\\Lambda\\)</span>CDM cosmology) are compared with standard observational expectations, using a Markov chain Monte Carlo simulation of <span>\\(JLA + OHD + BAO\\)</span> datasets. The Hubble evolution is satisfactory compared to the luminosity distance modulus measurements, and the evolution of deceleration parameter suggests an epoch of deceleration prior to the present acceleration. The redshift of transition is found to be quite satisfactory.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 4","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Curvature-driven acceleration and a notion of vacuum in Nash theory\",\"authors\":\"Soumya Chakrabarti, Soumya Bhattacharya, Rabin Banerjee, Amitabha Lahiri\",\"doi\":\"10.1140/epjp/s13360-025-06258-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We discuss the cosmological implications in the <i>Nash theory</i> of gravity, where the field equations are derived from a lagrangian quadratic in Ricci invariants. A spatially homogeneous exact solution is found which can serve as a cosmological toy model. The implications of this model (departures from a standard <span>\\\\(\\\\Lambda\\\\)</span>CDM cosmology) are compared with standard observational expectations, using a Markov chain Monte Carlo simulation of <span>\\\\(JLA + OHD + BAO\\\\)</span> datasets. The Hubble evolution is satisfactory compared to the luminosity distance modulus measurements, and the evolution of deceleration parameter suggests an epoch of deceleration prior to the present acceleration. The redshift of transition is found to be quite satisfactory.</p></div>\",\"PeriodicalId\":792,\"journal\":{\"name\":\"The European Physical Journal Plus\",\"volume\":\"140 4\",\"pages\":\"\"},\"PeriodicalIF\":2.8000,\"publicationDate\":\"2025-04-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal Plus\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1140/epjp/s13360-025-06258-4\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-025-06258-4","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}
Curvature-driven acceleration and a notion of vacuum in Nash theory
We discuss the cosmological implications in the Nash theory of gravity, where the field equations are derived from a lagrangian quadratic in Ricci invariants. A spatially homogeneous exact solution is found which can serve as a cosmological toy model. The implications of this model (departures from a standard \(\Lambda\)CDM cosmology) are compared with standard observational expectations, using a Markov chain Monte Carlo simulation of \(JLA + OHD + BAO\) datasets. The Hubble evolution is satisfactory compared to the luminosity distance modulus measurements, and the evolution of deceleration parameter suggests an epoch of deceleration prior to the present acceleration. The redshift of transition is found to be quite satisfactory.
期刊介绍:
The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences.
The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.