{"title":"Gödel's Universe and the Local Limit of Nonlocal Gravity","authors":"Zahra Mardaninezhad, Bahram Mashhoon","doi":"10.1002/andp.202500254","DOIUrl":null,"url":null,"abstract":"<p>The Gödel universe is considered within the context of the local limit of nonlocal gravity. This theory differs from Einstein's general relativity (GR) through the existence of a scalar susceptibility function <span></span><math>\n <semantics>\n <mrow>\n <mi>S</mi>\n <mo>(</mo>\n <mi>x</mi>\n <mo>)</mo>\n </mrow>\n <annotation>$S(x)$</annotation>\n </semantics></math> that is a characteristic feature of the gravitational field and vanishes in the GR limit. It is shown that Gödel's spacetime is a solution of the modified gravitational field equations provided <span></span><math>\n <semantics>\n <mi>S</mi>\n <annotation>$S$</annotation>\n </semantics></math> is a constant, in conformity with the spatial homogeneity of the Gödel universe. </p>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"537 10","pages":""},"PeriodicalIF":2.5000,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annalen der Physik","FirstCategoryId":"101","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/andp.202500254","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
The Gödel universe is considered within the context of the local limit of nonlocal gravity. This theory differs from Einstein's general relativity (GR) through the existence of a scalar susceptibility function that is a characteristic feature of the gravitational field and vanishes in the GR limit. It is shown that Gödel's spacetime is a solution of the modified gravitational field equations provided is a constant, in conformity with the spatial homogeneity of the Gödel universe.
期刊介绍:
Annalen der Physik (AdP) is one of the world''s most renowned physics journals with an over 225 years'' tradition of excellence. Based on the fame of seminal papers by Einstein, Planck and many others, the journal is now tuned towards today''s most exciting findings including the annual Nobel Lectures. AdP comprises all areas of physics, with particular emphasis on important, significant and highly relevant results. Topics range from fundamental research to forefront applications including dynamic and interdisciplinary fields. The journal covers theory, simulation and experiment, e.g., but not exclusively, in condensed matter, quantum physics, photonics, materials physics, high energy, gravitation and astrophysics. It welcomes Rapid Research Letters, Original Papers, Review and Feature Articles.