共查询到19条相似文献,搜索用时 515 毫秒
1.
研究了离散时空的Friedmann宇宙的几何结构,证明了形成Friedmann宇宙的尘埃物质并不分布在Friedmann时空点上,导出了在Friedmann宇宙中的试验粒子的测地运动方程,并揭示了Friedmann宇宙中的时钟和频移效应.
关键词:
Friedmann时空
尘埃物质
测地运动
时频效应 相似文献
2.
由尘埃物质粒子的集合来形成一个理想的离散时空的Friedmann宇宙模型并证明了它是奇性 自由的.
关键词:
离散时空
尘埃物质
Friedmann宇宙
奇性自由 相似文献
3.
引进了实数的层次性与离散化,将连续函数理论加以改进和推广为离散函数理论,并基于由离散函数理论所表示的经典广义相对论来讨论尘埃物质的引力塌缩问题,指出了关于这个问题的连续体系的Oppenheimer 和Snyder解中的Friedmann内解与Schwarzschild外解的不完整性并加以拓展和离散化,导出了一种非塌缩的尘埃物质结构,消除了引力奇性并揭示了时空离散化的深刻性质.
关键词:
离散实数
离散时空
广义相对论
Oppenheimer 和Snyder解
奇性自由 相似文献
4.
直接求解史瓦西时空中自由粒子的测地线方程,得出粒子运动方程的一般常见形式.此方法与一般教材中根据史瓦西度规的静态球对称性以及四速归一条件得出的运动方程完全相同.此方法物理意义更清晰、明确,同时对理解弯曲时空中的测地线方程具有重要意义. 相似文献
5.
运用克尔度规近似地分析了不带电的球对称弱引力源的自转对外部时空所产生的影响.如:质量产生的时空弯曲效应如何受自转的影响;经、纬向测地线长度如何受自转的影响;时空的对称性如何受自转的影响等. 相似文献
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1测地线平直时空是用欧几里德几何描述的,直线在其中占有重要地位.它是两点间的最短线.弯曲时空中一般不存在直线,但是,两点间会有最短线或最长线,统称短程线或测地线.测地线在黎曼几何中的作用,相当于直线在欧儿里德几何中的作用.广义相对论诞生前,数学家就曾对弯曲空间中的测地线进行过研究. 相似文献
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证明了Oppenheimer和Snyder关于均匀密度零压星的引力塌缩的经典解是不完整的,它并不能正确地连接作为内解和外解的Friedmann度规和Schwarzschild度规;通过在离散时空上拓展解参数而构成了一个完整的引力解,它实现了Friedmann度规和Schwarzschild度规之间的等价连接,并可以证明是奇性自由的;这个完整的引力解显示了物质,引力和离散时空结构之间的关联性
关键词:
均匀密度零压星
Friedmann度规
Schwarzschild度规
离散时空 相似文献
12.
Using the quasi-Maxwell formalism, we derive the necessary and sufficient conditions for the matching of two stationary spacetimes along a stationary time-like hypersurface, expressed in terms of the gravitational and gravitomagnetic fields and the 2-dimensional matching surface on the space manifold. We prove existence and uniqueness results to the matching problem for stationary perfect fluid spacetimes with spherical, planar, hyperbolic and cylindrical symmetry. Finally, we find an explicit interior for the cylindrical analogue of the NUT spacetime. 相似文献
13.
The Schwarzschild solution has played a fundamental conceptual role in general relativity, and beyond, for instance, regarding
event horizons, spacetime singularities and aspects of quantum field theory in curved spacetimes. However, one still encounters
the existence of misconceptions and a certain ambiguity inherent in the Schwarzschild solution in the literature. By taking
into account the point of view of an observer in the interior of the event horizon, one verifies that new conceptual difficulties
arise. In this work, besides providing a very brief pedagogical review, we further analyze the interior Schwarzschild black
hole solution. Firstly, by deducing the interior metric by considering time-dependent metric coefficients, the interior region
is analyzed without the prejudices inherited from the exterior geometry. We also pay close attention to several respective
cosmological interpretations, and briefly address some of the difficulties associated to spacetime singularities. Secondly,
we deduce the conserved quantities of null and timelike geodesics, and discuss several particular cases in some detail. Thirdly,
we examine the Eddington–Finkelstein and Kruskal coordinates directly from the interior solution. In concluding, it is important
to emphasize that the interior structure of realistic black holes has not been satisfactorily determined, and is still open
to considerable debate. 相似文献
14.
This paper is devoted to investigate non-vacuum solutions of cylindrically symmetric spacetime in the context of metric f(R) gravity. We take dust matter to find energy density of the universe. In particular, we find two exact solutions, which correspond to two f(R) models in each case. The first solution provides constant curvature while the second solution corresponds to non-constant curvature. The functions of the Ricci scalar and energy densities are evaluated in each case. 相似文献
15.
This paper is devoted to investigate non-vacuum solutions of cylindrically symmetric spacetime in the context of metric f(R) gravity. We take dust matter to find energy density of the universe. In particular, we find two exact solutions, which correspond to two f(R) models in each case. The first solution provides constant curvature while the second solution corresponds to non-constant curvature. The functions of the Ricci scalar and energy densities are evaluated in each case. 相似文献
16.
D. A. Sardelis 《General Relativity and Gravitation》1975,6(4):409-422
Spherical charged matter distributions are examined in a coordinate-free manner within the framework of general relativity. Irrespective of models chosen to describe the interior structure of a charged particle, it is found that the latter's total gravitational mass is positive definite, being finite only when there exists a lower bound for its invariant extension. For a simple choice of matter and charge distributions it is then shown that there is a minimum invariant size for the particle, below which no solution of the field equations exists, the matter density becoming negative and the spacetime developing an intrinsic singularity in the exterior of the particle for radii less than this minimum. A mass renormalization is derived, valid at the moment of time symmetry, which relates the particle's total mass to its charge, bare mass and invariant extension. Our results are compared with those obtained previously by Arnowitt, Deser and Misner, who consider the simpler distribution of a charged spherical shell. Qualitatively, the two situations share the same features. However, in the more realistic spherical distributions the formulae are correspondingly more complicated, and the minimum extension is found to be greater than that of the shell, as one might expect on physical grounds. Moreover, the correspondence between negative valued matter distributions and intrinsic singularities was not evident in the shell case. 相似文献
17.
We consider a Bianchi type I physical metric g, an auxiliary metric q and a density matter ρ in Eddington-inspired-Born-Infeld theory. We first derive a system of second order nonlinear ordinary differential equations. Then, by a suitable change of variables, we arrive at a system of first order nonlinear ordinary differential equations. Using both the solution-tube concept for the first order nonlinear ordinary differential equations and the nonlinear analysis tools such as the Arzelá–Ascoli theorem, we prove an existence result for the nonlinear system obtained. The resolution of this last system allows us to obtain new exact solutions for the model considered. Finally, by studying the asymptotic behaviour of the exact solutions obtained, we conclude that this solution is the counterpart of the Friedman–Lemaître–Robertson–Walker spacetime in Eddington-inspired-Born-Infeld theory. 相似文献
18.
V. P. Ruban 《Journal of Experimental and Theoretical Physics》2014,119(1):83-90
We show that when the Painlevé-Gullstrand coordinates are used in their Cartesian version, the Hamiltonian of relativistic ideal hydrodynamics in the vicinity of a nonrotating black hole differs by only one simple term from the corresponding Hamiltonian in a flat spacetime. The interior region of the black hole is also described in a unified way, because there is no singularity on the event horizon in Painlevé-Gullstrand coordinates. We present the exact solution describing the steady accretion of extremely hard matter (? ∝ n 2) onto a moving black hole up to the central singularity. In the local induction approximation, we derive the equation of motion for a thin vortex filament against the background of such an accretion flow. We explicitly calculate the Hamiltonian for a fluid with an ultrarelativistic equation of state, ? ∝ n 4/3, and solve the problem of a centrally symmetric steady flow of such matter. 相似文献
19.
量子纠缠作为量子信息理论中最核心的部分,代表量子态一种内在的特性,是微观物质的一种根本的性质,它是以非定域的形式存在于多子量子系统中的一种神奇的物理现象.熵也是量子信息理论的重要概念之一,纠缠熵作为量子信息的一个测度已经成为一种重要的理论工具,为物理学中的各类课题提供了新的研究方法.本文主要考虑量子纠缠的宇宙学应用,试图更好地从纠缠的角度来理解宇宙动力学.本文研究了量子信息理论的概念和宇宙学之间的深层联系,利用费米正则坐标和共形费米坐标构建了弗里德曼- 勒梅特-罗伯逊-沃尔克宇宙学弗里德曼方程和纠缠之间的联系.假设小测地球(a geodesic ball)的纠缠熵在给定体积下是最大的,可以从量子纠缠第一定律推导出弗里德曼方程.研究表明引力与量子纠缠之间存在着某种深刻的联系,这种联系对引力场方程的解是成立的. 相似文献