On the genericity of spacetime singularities

We consider here the genericity aspects of spacetime singularities that occur in cosmology and in gravitational collapse. The singularity theorems (that predict the occurrence of singularities in general relativity) allow the singularities of gravitational collapse to be either visible to external observers or covered by an event horizon of gravity. It is shown that the visible singularities that develop as final states of spherical collapse are generic. Some consequences of this fact are discussed.      

Mixed needlets

The construction of needlet-type wavelets on sections of the spin line bundles over the sphere has been recently addressed in Geller and Marinucci (2008) [14], and Geller et al. (2008, 2009) [12] and [13]. Here we focus on an alternative proposal for needlets on this spin line bundle, in which needlet coefficients arise from the usual, rather than the spin, spherical harmonics, as in the previous constructions. We label this system mixed needlets and investigate in full their properties, including localization, the exact tight frame characterization, reconstruction formula, decomposition of functional spaces, and asymptotic uncorrelation in the stochastic case. We outline astrophysical applications.     

Family of instantons of the Kraichnan model with a frozen velocity field

We find the family of instantons of the Kraichnan model with a frozen velocity field. Using these instantons, we investigate the asymptotic behavior of higher orders of the perturbation theory series constructed for the response function. We demonstrate that although the number of diagrams increases factorially with the degree of the perturbation series term, the perturbation series itself has a finite and sometimes even infinite convergence radius. We thus disprove the commonly accepted view that the type of series convergence can be determined by estimating the number of diagrams in higher orders of the perturbation theory. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 158, No. 2, pp. 200–213, February, 2009.     

Application to other fields of techniques used for gravity wave detection

Summary The experimental techniques developed to build a sensitive gravitational wave antenna can find application in many different fields of research. In the present paper we discuss briefly two experiments that we are developing in the Istituto Fisica Spazio Interplanetario of C.N.R. More precisely, a noncryogenic gravity gradiometer to be flown on the subsatellite of the TSS and a cryogenic force sensor which will be used to verify some recent results on the interaction of neutrino with matter are described. To speed up publication the proofs were not sent to the authors and were superivised by the Scientific Committee.     

关于拟Einstein场方程

In this paper some properties of a symmetric tensor field T(X, Y) = g(A(X), Y) on a Riemannian manifold (M,g) without boundary which satisfies the quasi-Einstein equation Rij-S/2gij=Tij+bξiξj are given. The necessary and sufficient conditions for this tensor to satisfy the quasi-Einstein equation are also obtained.     

中法激光时间比对和探测基本物理的相关空间计划

激光时间比对T2L2(Time Transfer by Laser Link)是法国蔚蓝海岸天文台(OCA)和法国空间中心(CNES)进行的新一代的时间传递计划,将于2008年年中随Jason-2卫星发射上天,并开始观测。它利用激光脉冲在空间的传播来实现地面—卫星,地面—地面远距离时钟的同步,精度比现有的微波比对方式提高1~2个数量级。中国拥有5个固定激光测距站和2个流动激光测距站,基于良好的地理位置和中法双方比较成熟的激光测距技术,中法激光站之间的时间比对和中国内部激光站之间的时间比对是该计划的重要内容。本文系统描述了T2L2的主要内容和关键技术,初步估算了该计划的精度和稳定度,对中法之间的时间比对做出了初步的观测规划。同时,简单介绍了目前世界上精密时钟的发展现况、T2L2的应用前景及正在研究中的TIPO、ASTRODⅠ、ACES、EGE等探测基本物理的相关空间计划。     

Gravitational-wave research with resonant antennas

Summary A brief historical survey of the GW experiments is presented. In particular, the experiments with resonant detectors are illustrated and the problems arising when comparing data of different detectors for the search of coincidences are discussed. The experimental results so far obtained are shown, among them the correlation during the SN1987A with various GW and neutrino detectors. Finally a warning for the long times needed to improve the sensitivity of the GW detectors is given and the improvements expected with spherical resonant detectors are mentioned.