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1.
本文给出了态方程为P=(γ-1)ρ的理想流体的五维Bianchi-V型宇宙模型的普遍解,并讨论了γ=2/3和γ=1/2的两个具体的解。这两个解随着时间的增长将趋于五维膨胀各向同性宇宙模型。此外,还考察了解的奇点的性质。  相似文献   

2.
本文给出了理想流体五维Bianchi-V型的宇宙模型的严格解,并讨论了解的奇性,发现该解随着时间的增长将趋于五维膨胀各向同性宇宙模型。  相似文献   

3.
本文用Lie变换讨论了常系数Lindstedt方程,具体地给出了它的二阶解。作为结果的应用,讨论了质点在Schwarzschild场中的轨迹。同时还讨论了包含J_3影响的Vinti问题中ρ与η的一种解。  相似文献   

4.
黄保法 《天文学报》1990,31(1):97-101
本文采用解析方法,严格地推导了五维空间-时间-质量流行的Einstein-Wesson广义相对认的非宇宙学的球对称Schwarzschile和轴对称Kerr解,并且得到了一个球对称的宇宙学问题具有物理实在意义的解析解。  相似文献   

5.
围绕黑洞作开普勒运动的环状发光物所发射的光,将受到多普勒颇移和引力的综合作用.本文用光子输运方程方法,针对洛仑兹型发射谱线,求出在Schwarzschild度规下谱线轮廓的精确解,并讨论了Hercules星系团中类星体1604+179光谱的认证.  相似文献   

6.
根据DSX体系的后牛顿近似理论,直接由Lagrange方程导出了轴对称稳态时空中光子的二阶后牛顿轨迹方程,并求得在赤道平面内传播的光线偏转角.在可测量精度范围内,得到的结论与Schwarzschild和Kerr度规下的情况相吻合.  相似文献   

7.
We put forth three modes of black hole formation, i.e. (1) A black hole kern forms initially inside the collapsing star. (2) The different mass shells of the collapsing star fulfils the Schwarzschild condition simultaneously. (3) Only the outmost mass shell of the collapsing star fulfils the Schwarzschild condition. We then calculate the entropy of the collapsing star for modes (1) and (3) and find that they are only 10-19 times the entropy of black hole. Modes (1) may be occure during the supernova explosions or galaxy explosions. Mode (3) may be occur in the formation of galactic black hole.  相似文献   

8.
本文指出一种弯曲时空释放引力能的新机制,它不同于Penrose过程、Starobinsky-Unruh过程,也不同于Hawking蒸发过程。具体以Kerr和Schwarzschild度规为例,证实这种机制的存在,并给出获得净能量的公式(18),(20)。  相似文献   

9.
Bekenstein,Hawking,Gibbons和Perry先后讨论过将一个Schwarzschild黑洞置于一个理想反射壁的盒内,从而使黑洞处于平衡态的问题。本文更广泛地探讨了该体系的热力学特性。从该体系的绝热膨胀过程出发,自然地定义了总熵和黑洞熵。接着我们对该体系的稳定平衡判据作了进一步的讨论。最后,我们分析了黑洞准静蒸发的三个热力学过程:等能膨胀过程、等容放能过程、绝热膨胀过程。  相似文献   

10.
塌缩星的熵和黑洞的熵   总被引:2,自引:0,他引:2  
本文提出了黑洞形成的三种具体模式,即:(Ⅰ)塌缩物质团中心先形成黑洞核,外部物质逐渐落入使黑洞核不断长大,最后整个星体形成一个黑洞;(Ⅱ)塌缩物质团各层同时满足Schwarzschild条件;(Ⅲ)塌缩物质团最外层先满足Schwarzschild条件.计算了三种模式中塌缩物质所携带的熵S_m,与所形成黑洞的黑洞熵S_(BH),发现S_(BH)比S_m大10~(19)倍,并得到了能形成黑洞的质量下限为Planck质量M_p=10~(-5)g.对S_(BH)的本质进行了讨论,认为S_(BH)中除普通的热力学熵以外,还可能包含有其它的东西.  相似文献   

11.
Solutions of field equations of the generalized theory of gravitation for neutral and charged point masses are found. The problem is formulated so that the solution may be expressed in harmonic, isotropic, Schwarzschild and, if necessary, any other coordinates. A method for the solution of the static axisymmetric problem (an analogue of a well-known Weyl's solution) is also proposed.  相似文献   

12.
13.
A new type of a solution of the Schwarzschild problem for a point particle has been obtained. In contrast to the standard forms of solutions, the Schwarzschild singularity in the given solution coincides with the central singularity.  相似文献   

14.
Recently, a renormalizable gravity theory has been proposed by Hořava, and it might be an ultraviolet completion of general relativity or its infrared modification. Particular limit of the theory allows for the Minkowski vacuum. A spherical asymptotically flat black hole solution that represents the analogy of Schwarzschild solution of general relativity has been obtained. It will be very interesting to find the difference between traditional general relativity and Hořava-Lifshitz gravity theory. The three classical tests of general relativity including gravitational red-shift, perihelion precession of the planet Mercury, and light deflection in gravitational field in the spherical asymptotically flat black hole solution of infrared modified Hořava-Lifshitz gravity are investigated. The first order corrections from the standard general relativity is obtained. The result can be used to limit the parameters in Hořava-Lifshitz gravity and to show the viability of the theory.  相似文献   

15.
We study the evolution of spherically symmetric radiating fluid distributions using the effective variables method, implemented ab initio in Schwarzschild coordinates. To illustrate the procedure and to establish some comparison with the original method, we integrate numerically the set of equations at the surface for two different models. The first model is derived from the Schwarzschild interior solution. The second model is inspired in the Tolman VI solution.  相似文献   

16.
The interior of both Schwarzschild and Kantowski-Sachs black holes is studied via a non-canonical noncommutative extension of the Wheeler-DeWitt equation in the interesting work (Bastos et al. in Phys. Rev. D 84:024005, 2011) by neglecting the cubic and quartic terms arising the Hamiltonian. Here, we consider the problem when these terms are present and provide a more realistic analytical solution to the problem.  相似文献   

17.
18.
In this paper, we analyze higher-dimensional spherical perfect fluid collapse in \(f(R,T)\) theory for minimally coupled models. We use Darmois junction conditions by taking Lemaître-Tolman-Bondi geometry as an interior region and Schwarzschild metric as an exterior spacetime. The solution of field equations is obtained for constant scalar curvature. We determine mass in two regions of the collapsing object and discuss the formation of apparent horizons. We conclude that modified curvature term tends to slow down the collapse rate.  相似文献   

19.
We construct an idealized spherically symmetric relativistic model of an exploding object within the framework of the theory of surface layers in GR. A Vaidya solution for a radially radiating star is matched through a spherical shell of dust to a Schwarzschild solution. The (incomplete) equations for the motion of the spherical shell of dust and the radiation density of the Vaidya solution, as given by the matching conditions, are reduced to a first-order system and a general analysis of the characteristics of the motion is given. This system of differential equations is completed, adding a relation between the unknowns which represents the simplest way to avoid an unphysical singularity in the motion. The results of a numerical integration of the equations are presented in two cases which we think may have some relationship to stellar explosions. A comparative set of results for other solutions is also given, and some possible generalizations of the model are pointed out.  相似文献   

20.
In this paper we present an exact solution of Einstein’s field equations describing the Schwarzschild black hole in dark energy background. It is also regarded as an embedded solution that the Schwarzschild black hole is embedded into the dark energy space producing Schwarzschild-dark energy black hole. It is found that the space-time geometry of Schwarzschild-dark energy solution is non-vacuum Petrov type D in the classification of space-times. We study the energy conditions (like weak, strong and dominant conditions) for the energy-momentum tensor of the Schwarzschild-dark energy solution. We also find that the energy-momentum tensor of the Schwarzschild-dark energy solution violates the strong energy condition due to the negative pressure leading to a repulsive gravitational force of the matter field in the space-time. It is shown that the time-like vector field for an observer in the Schwarzschild-dark energy space is expanding, accelerating, shearing and non-rotating. We investigate the surface gravity and the area of the horizons for the Schwarzschild-dark energy black hole.  相似文献   

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