能量动量张量无迹的静态平面对称标量场的静态时空

求出了具有无迹能量动量张量的静态平面对称标量场产生的静态平面对称度规的通解,并讨论了这种度规的共形性质,对称性和奇异性等.这个通解包含了两个共形平直特解,其所代表的时空没有奇异性 关键词：     

Einstein场方程的一个平面对称非静态标量场解

求出一个特殊的标量场V=V(t-z)产生的平面对称度规的一个非静态解,并研究了它的对称性、奇异性等整体特性。 关键词：     

平面对称标量场产生的引力孤波

求出了平面对称零质量标量场产生的一组引力孤波解，并讨论了这组引力孤波的奇异性和能量问题 关键词：     

平面波导衍射特性分析

从电磁波的瑞利－索末菲标量衍射积分公式出发，利用罗兰圆结构特殊的光学性能，在平面坐标系中简化标量衍射积分公式，推导出横截面折射率阶跃分布的平面波导端口衍射场分布的计算公式，并导出常用的对称结构介质平面波导和金属平面波导端口衍射场的空间频谱，阐明平面波导端口衍射场就是驻波衍射场的本质。     

半平面对称非类光电磁场产生的半平面对称时空

本文通过严格求解Einatein-Maxwell场方程,找到了由半平面对称非类光电磁场产生的半平面对称静态通解,并证明此类时空只具有(?/?x)^a,(?/?y)^a和(?/?t)^a三个Killing矢量场,本文还研究了时空奇异性,证明这类时空都是测地不完备的,且所有不完备测地线都对应着Scalar Polynomial曲率奇异性. 关键词：     

共形平直时空中电磁场和标量场的解

给出电磁场和标量场在共形平直时空中的解,发现了平面对称解的不确定性及由多重解的交集来定义一个非连续场的方法. 关键词：     

一类新的复合场方程及解

采用5维空间4+1分解的方法建立了标量场、电磁场和引力场的复合场方程,并给出了一个复合场方程的静态球对称解 当标量场及其与电磁场的耦合不存在时(β=0),此解退化为ReissnerNordtstrom度规.还给出了标量场和电磁场产生的复合场源流密度矢量的表示式 关键词：     

高自旋场对静态球对称黑洞熵的贡献

利用改进后的brick wall模型，研究具有高自旋的引力场对静态球对称黑洞熵的贡献.结果表明：在静态球对称黑洞中，自旋为2的引力场的量子熵仍与视界面积成正比.当选择与标量场相同的截断因子时，其量子熵为标量场的两倍，为Dirac场的4/7. 关键词： 黑洞熵 brick wall模型 自旋场 Teukolsky型主方程     

半平面对称非类光电磁场产生的半平面对称静态时空的代数性质

本文求出半平面对称非类光电磁场产生的半平面对称静态时空的自旋系数和Weyl张量的复标架分量,结果表明这种时空是Petrov Ⅰ型,即代数一般的。对零矢量和光学标量的性质也作了讨论。 关键词：     

静态球对称黑洞Dirac场的统计熵

利用改进的brickwall模型,给出了一类静态球对称黑洞Dirac场的熵,结果表明,在取相同的截断因子时,Dirac场的熵均为标量场的熵的72倍 关键词： 黑洞 统计熵 brickwall模型 Dirac场     

Exact solutions for coupled Einstein,Dirac, Maxwell,and zero-mass scalar fields

Coupled equations for Einstein, Maxwell, Dirac, and zero-mass scalar fields studied by Krori, Bhattacharya, and Nandi are integrated for plane-symmetric time-independent case. It is shown that solutions do not exist for the plane-symmetric time-dependent case.     

Static Plane-Symmetric Nonlinear Spinor and Scalar Fields in GR

We consider a system of minimally coupled nonlinear spinor and scalar fields within the scope of a plane-symmetric gravitational field. The gravitational field plays crucial role in the formation of soliton-like solutions, i.e., solutions with limited total energy, spin, and charge. The change of the sign of the scalar field energy density of the system in question realizes physically if and only if the scalar charge does not exceed some critical value. In case of spinor field no such restriction on its parameter occurs. The choice of spinor field nonlinearity leads to the elimination of scalar field contribution to the metric functions, but leaves its contribution to the total energy unaltered. The spinor field is more sensitive to the gravitational field than the scalar field.     

Irrotational and conformally Ricci-flat perfect fluids

When a space-time, containing an irrotational perfect fluid withw + p 0, is conformally Ricci-flat, three possibilities arise: (a) When the gradient of the conformal scalar field is aligned with the fluid velocity, the solution is conformally flat; (b) when the gradient is orthogonal to the fluid velocity, solutions are either shearfree, nonexpanding and (pseudo-) spherically or plane-symmetric, or they are conformally related to a particular new vacuum solution admitting a three-dimensional group of motions of Bianchi type VI_o on a timelike hypersurface; (c) in the general case solutions are (pseudo) spherically or plane-symmetric and have nonvanishing expansion.     

Anisotropic scalar field with cosmical time

A static, plane-symmetric scalar field of long range is considered in general relativity, and a one-parameter class of exact solutions with cosmical time is studied in harmonic coordinates. The geodetic equations are solved. A velocity-dependent acceleration field is found, acting attractively on the component of the velocity normal to the plane of symmetry, and repulsively on the component parallel to that plane. The manifold is complete. Test particles at rest are insensitive to it.     

Exact solutions for the massless plane symmetric scalar field in general relativity,with cosmological constant

The Klein–Gordon equations are solved for the case of a plane-symmetric static massless scalar field in general relativity with cosmological constant, generalizing the solutions found by Taub, Novotny and Horsky, and Singh. A separate class of solutions is obtained in which the metrics reduce to flat space in the limit that .The static solutions can be used to generate time-dependent cosmological solutions, one of which exhibits rapid inflation followed by continued exponential expansion at all later times.     

Exact self-consistent plane-symmetric solutions of the equations of two interacting fields (spinor field and scalar field)

A spinor field interacting with a zero-mass neutral scalar field is considered for the case of the simplest type of direct interaction, where the interaction Lagrangian has the formL _int =1/2 ϕ_αϕ_,α F(S) whereF(S) is an arbitrary function of the spinor field invariantS=ψψ. Exact solutions of the corresponding systems of equations that take into account the natural gravitational field in a plane-symmetric metric are obtained. It is proved that the initial system of equations has regular localized soliton-type solutions only if the energy density of the zero-mass scalar field is negative as it “disengages” from interaction with the spinor field. In two-dimensional space-time the system of field equations we are studying describes the configuration of fields with constant energy densityT ₀₀ , i.e., no soliton-like solutions exist in this case. Russian People’s Friendship University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 69–75, July, 1998.     

Plane-Symmetric Solitons of Spinor and Scalar Fields

We consider a system of nonlinear spinor and scalar fields with minimal coupling in general relativity. The nonlinearity in the spinor field Lagrangian is given by an arbitrary function of the invariants generated from the bilinear spinor forms S= and P=i⁵; the scalar Lagrangian is chosen as an arbitrary function of the scalar invariant = _,^,, that becomes linear at 0. The spinor and the scalar fields in question interact with each other by means of a gravitational field which is given by a plane-symmetric metric. Exact plane-symmetric solutions to the gravitational, spinor and scalar field equations have been obtained. Role of gravitational field in the formation of the field configurations with limited total energy, spin and charge has been investigated. Influence of the change of the sign of energy density of the spinor and scalar fields on the properties of the configurations obtained has been examined. It has been established that under the change of the sign of the scalar field energy density the system in question can be realized physically iff the scalar charge does not exceed some critical value. In case of spinor field no such restriction on its parameter occurs. In general it has been shown that the choice of spinor field nonlinearity can lead to the elimination of scalar field contribution to the metric functions, but leaving its contribution to the total energy unaltered.