爱因斯坦引力场Arnowitt-Deser-Misner约束方程的两种推导方法

给出两种不同方法,分别导出爱因斯坦引力理论中著名的Arnowitt-Deser-Misner(ADM)约束方程.其一是在具有洛伦兹号差的时空中,构造一个单参数引力场作用量,由此导出单参数ADM约束方程.该参数取某特定值时对应的就是熟知的ADM约束方程.其二是将二重复函数理论运用于爱因斯坦引力场的哈密顿形式表述中,得到引力场ADM约束的二重化形式,从而也能将通常的ADM约束作为其特殊情况包含其中.此外,这两种方法还能统一地表述具有不同时空号差(洛伦兹号差和欧几里得号差)的洛伦兹引力理论和欧几里得引力理论 关键词： Arnowitt-Deser-Misner约束方程 哈密顿表述 时空号差 引力场作用量     

Lifshitz时空s波超导模型的关联长度和穿透深度

在D=d+2维各向异性的Lifshitz黑洞时空背景中, 在探子极限下, 用解析方法研究了临界温度附近引力系统的微扰, 计算出超导的关联长度ξα(1/T_c)(1-(T/T_c)^-1/2, 这与平均场论的结果一致. 进一步, 考虑在该系统中加一个均匀外磁场, 计算出穿透深度λα(T_c-T)^-1/2, 该结果与Ginzburg-Landau理论相符.     

New ways of deriving Arnowitt—Deser—Misner constraint equations in four—dimensional gravity

In this paper,the Arnowitt-Deser-Misner (ADM) constraint equations are naturally derived in two different ways.One method is to construct a one-parametric gravitational action in the Lorentzian spacetime.Hence,the oneparametric ADM constraint equations can be obtained.The other method is to apply the double complex function method to Einstein-Hilbert gravitational fields in Hamiltonian formulation,Therefore the double ADM constraint equations can be obtained,in which the well-known ADM constraint equations are included as a special case.     

The double complex Ashtekar gravitational theory and the corresponding constraint equations with the cosmological term

We establish the double complex Ashtekar gravitational theory with the cosmological term.In particular,by performing the 3 1 decomposition of the double Ashtekar action containing the cosmological term to pass on the Hamiltonian framework,the double Ashtekar constraint equations are derived,which respectively correspond to Lorentzian and Euclidean gravity.     

氢化物发生-原子荧光光谱法同时测定纺织品中痕量砷和汞

本文以模拟汗液 (酸性、碱性 )和唾液萃取样品 ,断续流动 -无色散氢化物发生原子荧光光谱法同时测定纺织品中的微量砷、汞。研究了不同萃取介质、酸度、还原剂浓度、共存元素以及载流流速对氢化物发生的影响。方法快速、基体干扰少、灵敏度高、检出限低。本方法的线性范围为 As:1.0 0— 2 0 0 μg· L-1,Hg:0 .5 0— 2 0 μg· L-1,检出限为分别为 0 .0 3μg· L-1和 0 .0 1μg· L-1,回收率为 89.4 %— 10 0 .5 % ,精密度为 1.32 %— 5 .4 5 %。     

Dynamical Stability and Attractor of the Variable Generalized Chaplygin Gas Model

For the variable generalized Chaplygin gas （VGCG） as a dynamical system, its stability is analyzed and the related dynamical attractors are investigated. By analysis it is shown that there are two critical points corresponding to the matter-dominated phase and the VGCG dark energy-dominated phase, respectively. Moreover, when the parameters n, a and γ take some fixed values, the phase with ωVGCG = --0.92 is a dynamical attractor and the equation of state of VGCG reaches it from either ωVGCG 〉 --1 or ωVGCG 〈 --1, independent of the initial values of the dynamical system. This shows a satisfactory cosmological model： the early matter-dominated era, followed by the dark energy-dominated era. Meanwhile, the evolutions of density parameters Ωγ and ΩVGCG are quite different from each other. For different initial values of x and y, Ωγ decreases and ωVGCG increases as the time grows, they will eventually approach Ωγ = 0 and ωVGCG ---- 1. Furthermore, since different values of n or a may lead to different equation-of-state parameters ωVGCG, we also discuss the constraints on the parameters n and by the observation data.     

二重非交换时空与二重复对称引力理论

通过引入二重复对称度规张量，建立了一种二重复对称引力理论. 从一个二重实的作用量出发，导出了静态球对称二重复度规的具体表达式. 该理论扩展了Moffat结果，不仅自然地得到了双曲复对称引力理 论，而且把著名的Schwarzschild解作为特殊情况包含在其中，并且在线性化的弱场近似下自动摆脱了Moffat理论中存在的负 能鬼态问题. 进一步，通过将二重复坐标推广到满足二重非对易关系以及将Moyal星积二重 化，由此构造出二重非交换复对称引力场作用量. 关键词： 非交换几何 复对称度规 非对易坐标 引力场作用量     

Reconstruction of New Holographic Chaplygin Gas Model with Viscosity

We investigate the interacting new holographic dark energy （HDE） with viscosity. Specifically, we not only study the dynamical evolutions of the new HDE with viscosity and the influences of viscosity as well as the coupling constant on the equation of state for the new HDE, but also establish the correspondence between the new HDE with viscosity and variable generalized Chaplygin gas （VGCG） models in the fiat Friedmann-Robertson-Walker universe. Furthermore, we also reconstruct the potential and the dynamics of VGCG as the scalar field. By analysis we show that for the new holographic Chaplygin gas model, if the related parameters to the potential satisfy some constraints, the accelerated expansion can be achieved. These research results can reduce to the ones without viscosity.     

Dynamical Evolution of Modified Chaplygin Gas

Based our previous work [Mod. Phys. Lett. A 22 （2007） 783, Gen. Relat. Gray. 39 （2007） 653], some properties of modified Chaplygin gas （MCG） as a dark energy model continue to be studied mainly in two aspects： one is the change rates of the energy density and energy transfer, and the other is the evolution of the growth index. It is pointed that the density of dark energy undergoes the change from decrease to increase no matter whether the interaction between dark energy and dark matter exists or not, but the corresponding transformation points are different from each other.Eurthermore, it is stressed that the MCG model even supports the existence of interaction between dark energy and dark matter, and the energy of transfer flows from dark energy to dark matter. The evolution of the interaction term with an ansatz 3Hc^2ρ is discussed with the MCG model. Moreover, the evolution of the growth index f in the MCG model without interaction is illustrated, from which we find that the evolutionary trajectory of f overlaps with that of the ACDM model when a 〉 0.7 and its theoretical value f ≈ 0.566 given by us at z = 0.15 is consistent with the observations.     

On the problem of reality conditions for the Ashtekar formulation

In this paper we discuss the reality conditions for Lorentzian and Euclidean gravity in the Ashtekar formulation by introducing a double conformal transformation.We generalize Marugan‘s results and demonstrate that the values of the double conformal factor have to be either real or double complex numbers.Either Lorentzian or Enclidean gravitational theory is up to the different values of the double conformal factor.Furthermore,the reality conditions of Lorentzian and Euclidean gravitational theory can be expressed in a unified way be use of the double complex function method.