爱因斯坦场方程的正则内解。

IF 1.1 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY Canadian Journal of Physics Pub Date : 2022-12-31 DOI:10.1139/cjp-2023-0126
G. Estevez-Delgado, J. Estevez-Delgado, M. P. Duran, A. Cleary-Balderas
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引用次数: 0

摘要

本文从包含各向同性流体的静态球对称时空中的爱因斯坦场方程的解出发,构造了具有紧致率u=GM/(c2R)tt和径向grr度量势的紧致物体内部模型,该模型可求解为gtt的特定函数。图形分析表明,该解在物理上是可以接受的,即密度、压力和声速是正正则的单调递减函数,并且由于满足绝热指标的判据,该解是稳定的。以PSR J0030+045恒星的质量M=1.44+0.15-0.14M⊙,半径R=13.02+1.24-1.06 km为数据,得到最大致密度u=0.19628的中心密度ρc=7.5125 × 1017 kg/m3,最小致密度u=0.13460的中心密度ρc=2.8411 × 1017 kg/m3,与该类恒星的预期值一致。
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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.
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来源期刊
Canadian Journal of Physics
Canadian Journal of Physics 物理-物理:综合
CiteScore
2.30
自引率
8.30%
发文量
65
审稿时长
1.7 months
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.
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