含宇宙项Λ的球对称黑洞内部时空度规

在假定黑洞内部状态方程为ρ＝－P的条件下，求出了含宇宙项Λ的球对称黑洞内部时空度规，其结果在特殊条件下过渡为Gonzalez－Diaz黑洞内部度规．最后，证明了这一度规是无奇性的．     

含宇宙项∧的球对称黑洞内部时空度规

在假定黑洞内部状态方程为ρ=-P的条件下．求出了含宇宙项∧的球对称黑洞内部时空度规．其结果在特殊条件下过渡为Gonzalez-Diaz黑洞内部度规．最后，证明了这一度规是无奇性的．     

不定度规空间上的线性泛函表示

完备的不定度规空间必为完全的不定度规空间,给出了完全的不定度规空间上的线性泛函的表示,从而推广了黎斯定理。     

一种可能的黑洞内部度规

本文提出一种可能的黑洞内部时空度规,在特殊条件下分别过渡到 Schwarzchild 黑洞内部度规和 Gonzalez-Diaz 黑洞内部度规,并证明了这一黑涧内部度规是无奇性的.     

对克尔—纽曼度规的讨论

由于爱因斯坦引力场方程具有高度的非线性性质,所以通常对其很难严格求解.但有些具有对称性的时空度规却能简化方程,并得出严格解来.克尔—纽曼度规就是这样一种具有对称性的静态轴对称度规.它是质量为m,电荷为Q,内禀角动量为J的转动球体外部引力场的度规.当电荷Q=0时,它转化成克尔度规;当内禀角动量J=0时,它转化成雷斯纳—诺德斯特罗姆度规;当P=J=0时,则转化成史瓦西度规.用克尔—纽曼度规描写黑洞的充要条件是m~2≥Q~2+a~2,克尔一纫曼度规的标准形式如下:     

不定度规空间内的一类微分算子的自共轭性

本文建立了一个完备的不定度规空间,并在其上研究了一类带有转移边界条件且权函数变号的Sturm-Liou-ville算子T,证明了算子T在完备的不定度规空间K中是自共轭的.     

对牛顿万有引力定律的相对论修正(英文)

本文对牛顿万有引力定律提出了一种非繁曼几何的相对论修正公式,进而用它推算出了行星近日点进动、引力红移、光线偏折和雷达回波延迟等引力效应,结果与广义相对论和实际观测相符。最后:给出了与修正引力相对应的弯曲时空的度规:表明这一度规没有史瓦西奇性。     

Kerr度规的解析推导

通过直接求解Emst方程,给出了Kerr度规的解析推导。     

关于一个角能否作出的问题

本文给出了一个有理数度的角能用尺规作出的充要条件     

A≠0的Reissner-Nordstrom的度规

文章由爱因斯坦场方程导出了宇宙项A≠0的R-N的度规.     

光线在Bom-Infeld型引力场中的偏转

1 Introduction The nonlinear Born-Infeld ( B-I) type theory hasbeen widely discussed ,and B-I type Lagrangians con-sidered in strings theory[1-9].It is of interest to discussthe angular deflection of light path in this theory.Inthe string theory, effective actions of fields containboth the quadratic and higher orders terms ,leading tonon-linear field equations .It was shown[10-15]that thelow-energy effective action is precisely a B-I typeaction[16].In the B-I type theory of electricweak a…     

Energy momentum pseudo-tensor of high frequency gravitational waves and their dynamical back-reaction

To describe properties of the high frequency gravitational wave （HFGW） propagating through the vacuum gravitational field in Robertson-Walker background space-time, we calculated its energy momentum pseudo-tensor （EMPT） in the limit of short wavelengths by taking the Brill-Hartle average on the second order perturbation of the Einstein tensor over several wavelengths. By rewriting the EMPT as a form of perfect fluid, the dynamical back-reaction of HIFGW on the background spacetime was discussed. The result shows that the energy density of HFGW, which is in the gauge we chose, is positive definite. The HFGW serves as a source for curving the background space-time and affects the dynamical evolution and time evolution of the scale factor of the Robertson-Walker metric.     

广义相对论的几何纲领与引力场的时空特性

在GR中,引力场各处的时钟快慢不同,引力场中各处的量杆长短不同,但是,引力场中的光速却是不变的.这意味着引力场时空弯曲了,欧几里德几何规律不再成立.其根本原因正是爱因斯坦所开创的广义相对论的几何化纲领.     

激光等离子体相互作用的有效度规

The interactions of laser field with plasma are studied by using the analog model of gravity. The interactions of laser field with plasma are regarded as an equivalent effective geometry. An effective metric for a plasma electron is developed. Validity of the metric is confirmed in the limit of non-relativity. The three-dimensional equation of motion for a plasma electron is derived from the general covariant equation of motion. The ponderomotive force and the Abraham＇s force are directly obtained from the three-dimensional equation.     

《球对称塌缩体系引力辐射的多极公式》

本文利用Thorn所发展的张量多极矩方法.在ACMCS(Asymptotically Cartesian and mass centered coordinative system)中给出了球对称塌缩体系的引力辐射公式.指出源的流矩与质量矩同样对引力辐射有贡献‘并对结论进行了讨论.     

引力场中电磁波的传播和光线偏折

The gauge invariance of the electromagnetic field in gravitational field is an important question. We prove d' Alembert equation in gravitational field with gauge invariance under the Lorentz condition. Using the kinematic equation of photon in normal static and spherically symmetric gravitational fields, we deduce the orbital equation of photon. As a special example, we explicate the deduction and discussion about the deviation angular of light in Reissner-Nordstrom space-time.     

二值命题逻辑中基于信息限制的真度理论

将基本真度概念进行推广,提出了二值命题逻辑中在有限信息Г限制下的公式真度概念,并讨论其计算性质．以此为基础定义了公式的Г-限制相似度和Г-限制伪距离,得到了在有限信息Г限制下公式到理论结论集伪距离的Г-限制真度表示式,为研究二值命题逻辑中基于有限信息限制的近似推理问题提供数值化工具．     

“There is One Geometry and in Each Case There is a Different Formula”

In this paper, we analyze two episodes from an inquiry-based didactical research; the complete analysis of our research data is still ongoing. By taking into consideration various developments from the history of the geometry of space-time, our general aim is to explore high school students’ conceptions about measurement of length and time in relatively moving systems, and lead the students to reconsider these conceptions in an attempt of constructing a new metric for space-time. The episodes are extracted from long (focused) interviews with two couples of students, based on a carefully designed fictional scenario. Two main strategies have been identified and are analyzed in the paper: one of them relies on imagination and intuition; the other one makes use of preexisting school mathematical knowledge, in arriving to a simplified formula of a Minkowskian metric.     

"万有引力场强度"与"万有引力场的高斯定理"

通过库仑定律与万有引力定律的相似之处．由静电场的电场强度和静电场的高斯定理引入万有引力场强度和万有引力场的“高斯定理”,在求解某些具有对称性物体与质点之间的万有引力时,通过万有引力场的“高斯定理”可以大大简化计算．