{"title":"Non-static axisymmetric structures embedded in an asymptotically \\(\\Lambda \\)CDM universe","authors":"Gonzalo García-Reyes","doi":"10.1007/s10714-025-03359-4","DOIUrl":null,"url":null,"abstract":"<div><p>We construct non-static adiabatic axisymmetric structures embedded in an asymptotically <span>\\(\\Lambda \\)</span>CDM universe from given solutions of the Poisson’s equation of Newtonian gravity, using a particular form of the metric in isotropic coordinates. The approach is used in building of a razor-thin disk source made of perfect fluid for the McVittie metric, a system composite by a Plummer-type perfect fluid razor-thin disk surrounded by an halo also of perfect fluid, and a model of Miyamoto–Nagai-type anisotropic fluid thick disks, embedded in an asymptotic <span>\\(\\Lambda \\)</span>CDM universe. In the especial case of spherical symmetry, we also present a family of models of expanding anisotropic thick spherical shells. Moreover, the geodesic motion of test particles in stable circular orbits around of the structures, the fulfilment of the energy conditions and principal stresses (pressure) are analyzed.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 2","pages":""},"PeriodicalIF":2.1000,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-025-03359-4.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Relativity and Gravitation","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10714-025-03359-4","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
We construct non-static adiabatic axisymmetric structures embedded in an asymptotically \(\Lambda \)CDM universe from given solutions of the Poisson’s equation of Newtonian gravity, using a particular form of the metric in isotropic coordinates. The approach is used in building of a razor-thin disk source made of perfect fluid for the McVittie metric, a system composite by a Plummer-type perfect fluid razor-thin disk surrounded by an halo also of perfect fluid, and a model of Miyamoto–Nagai-type anisotropic fluid thick disks, embedded in an asymptotic \(\Lambda \)CDM universe. In the especial case of spherical symmetry, we also present a family of models of expanding anisotropic thick spherical shells. Moreover, the geodesic motion of test particles in stable circular orbits around of the structures, the fulfilment of the energy conditions and principal stresses (pressure) are analyzed.
期刊介绍：
General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation.
It welcomes in particular original articles on the following topics of current research:
Analytical general relativity, including its interface with geometrical analysis
Numerical relativity
Theoretical and observational cosmology
Relativistic astrophysics
Gravitational waves: data analysis, astrophysical sources and detector science
Extensions of general relativity
Supergravity
Gravitational aspects of string theory and its extensions
Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations
Quantum field theory in curved spacetime
Non-commutative geometry and gravitation
Experimental gravity, in particular tests of general relativity
The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.
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