G. Estevez-Delgado, J. Estevez-Delgado, M. P. Duran, A. Cleary-Balderas
{"title":"爱因斯坦场方程的正则内解。","authors":"G. Estevez-Delgado, J. Estevez-Delgado, M. P. Duran, A. Cleary-Balderas","doi":"10.1139/cjp-2023-0126","DOIUrl":null,"url":null,"abstract":"Starting from the solution of the Einstein field equations in a static and spherically symmetric spacetime which contains an isotropic fluid, we construct a model to represent the interior of compact objects with compactness rate u=GM/(c<sup>2</sup>R )<0.23577. The solution is obtained by imposing the isotropy condition for the radial and tangential pressures, this generates an ordinary differential equation of second order for the temporal g<sub>tt</sub> and radial g<sub>rr</sub> metric potentials, which can be solved for a specific function of g<sub>tt</sub>. The graphic analysis of the solution shows that it is physically acceptable, that is to say, the density, pressure and speed of sound are positive, regular and monotonically decreasing functions, also, the solution is stable due to meeting the criteria of the adiabatic index. When taking the data of mass M=1.44<sup>+0.15</sup><sub>-0.14</sub>M</sub>⊙</sub> and radius R=13.02<sup>+1.24</sup><sub>-1.06</sub> km which corresponds to the estimations of the star PSR J0030+045 we obtain values of central density ρ<sub>c</sub>=7.5125x10<sup>17</sup> kg/m<sup>3</sup> for the maximum compactness u=0.19628 and of ρ<sub>c</sub>=2.8411x10<sup>17</sup> kg/m<sup>3</sup> for the minimum compactness u=0.13460, which are consistent with those expected for this type of stars.","PeriodicalId":9413,"journal":{"name":"Canadian Journal of Physics","volume":"22 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A regular interior solution of Einstein field equations.\",\"authors\":\"G. Estevez-Delgado, J. Estevez-Delgado, M. P. Duran, A. Cleary-Balderas\",\"doi\":\"10.1139/cjp-2023-0126\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Starting from the solution of the Einstein field equations in a static and spherically symmetric spacetime which contains an isotropic fluid, we construct a model to represent the interior of compact objects with compactness rate u=GM/(c<sup>2</sup>R )<0.23577. The solution is obtained by imposing the isotropy condition for the radial and tangential pressures, this generates an ordinary differential equation of second order for the temporal g<sub>tt</sub> and radial g<sub>rr</sub> metric potentials, which can be solved for a specific function of g<sub>tt</sub>. The graphic analysis of the solution shows that it is physically acceptable, that is to say, the density, pressure and speed of sound are positive, regular and monotonically decreasing functions, also, the solution is stable due to meeting the criteria of the adiabatic index. When taking the data of mass M=1.44<sup>+0.15</sup><sub>-0.14</sub>M</sub>⊙</sub> and radius R=13.02<sup>+1.24</sup><sub>-1.06</sub> km which corresponds to the estimations of the star PSR J0030+045 we obtain values of central density ρ<sub>c</sub>=7.5125x10<sup>17</sup> kg/m<sup>3</sup> for the maximum compactness u=0.19628 and of ρ<sub>c</sub>=2.8411x10<sup>17</sup> kg/m<sup>3</sup> for the minimum compactness u=0.13460, which are consistent with those expected for this type of stars.\",\"PeriodicalId\":9413,\"journal\":{\"name\":\"Canadian Journal of Physics\",\"volume\":\"22 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2022-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Canadian Journal of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1139/cjp-2023-0126\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Canadian Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1139/cjp-2023-0126","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
A regular interior solution of Einstein field equations.
Starting from the solution of the Einstein field equations in a static and spherically symmetric spacetime which contains an isotropic fluid, we construct a model to represent the interior of compact objects with compactness rate u=GM/(c2R )<0.23577. The solution is obtained by imposing the isotropy condition for the radial and tangential pressures, this generates an ordinary differential equation of second order for the temporal gtt and radial grr metric potentials, which can be solved for a specific function of gtt. The graphic analysis of the solution shows that it is physically acceptable, that is to say, the density, pressure and speed of sound are positive, regular and monotonically decreasing functions, also, the solution is stable due to meeting the criteria of the adiabatic index. When taking the data of mass M=1.44+0.15-0.14M⊙ and radius R=13.02+1.24-1.06 km which corresponds to the estimations of the star PSR J0030+045 we obtain values of central density ρc=7.5125x1017 kg/m3 for the maximum compactness u=0.19628 and of ρc=2.8411x1017 kg/m3 for the minimum compactness u=0.13460, which are consistent with those expected for this type of stars.
期刊介绍:
The Canadian Journal of Physics publishes research articles, rapid communications, and review articles that report significant advances in research in physics, including atomic and molecular physics; condensed matter; elementary particles and fields; nuclear physics; gases, fluid dynamics, and plasmas; electromagnetism and optics; mathematical physics; interdisciplinary, classical, and applied physics; relativity and cosmology; physics education research; statistical mechanics and thermodynamics; quantum physics and quantum computing; gravitation and string theory; biophysics; aeronomy and space physics; and astrophysics.