引力、引力波和引力波的探测

简要地回顾了引力和引力波概念的由来,以及人们为探测引力波所作的各种努力．     

Observational constraints on multimessenger sources of gravitational waves and high-energy neutrinos

Many astronomical sources of intense bursts of photons are also predicted to be strong emitters of gravitational waves (GWs) and high-energy neutrinos (HENs). Moreover some suspected classes, e.g., choked gamma-ray bursts, may only be identifiable via nonphoton messengers. Here we explore the reach of current and planned experiments to address this question. We derive constraints on the rate of GW and HEN bursts based on independent observations by the initial LIGO and Virgo GW detectors and the partially completed IceCube (40-string) HEN detector. We then estimate the reach of joint GW+HEN searches using advanced GW detectors and the completed km(3) IceCube detector to probe the joint parameter space. We show that searches undertaken by advanced detectors will be capable of detecting, constraining, or excluding, several existing models with 1 yr of observation.     

Harmonic oscillations of elastic continua and detection of gravitational waves

In this article it is shown that the equation derived by weber from the equation of geodesic deviation — the equation that constitutes the basis for the theoretical studies concerning the detection of gravitational waves — can be obtained as an approximation to an equation deduced from Cauchy's equation which governs an elastic continuum. This is achieved within the frame of the formalism of the theory of relativistic continua developed by A. C. Eringen and his collaborators and the present author. The use of piezoelectric crystals in order to measure the stresses that result from incident gravitational waves is also examined within the framework provided by this theory.     

On relativistic deformable solids and the detection of gravitational waves

In this paper, the purpose of which is to complement a preceding work [1], it is shown, in agreement with the theory of relativistic deformable solids developed by A.C. Bringen and his coworkers, that the simplest conceivable dissipative constitutive equation — that of a socalled KelvinVoigt viscoelastic solid — yields a gravitational wave equation of propagation different from that of Weber: specifically, the following third order partial differential equation, $$\frac{{\partial ^2 \theta }}{{\partial t^2 }} - \left( {A + A'\frac{{\partial ^2 \theta }}{{\partial t}}} \right)\frac{{\partial ^2 \theta }}{{\partial x^2 }} = c^2 R_{1441'} $$ which can be solved by use of Fourier transform techniques, and where A and A′ are positive material coefficients.     

The detection of gravitational waves and the new era of multi-messenger astronomy

正For the first time,gravitational waves(GWs),a major prediction of Einstein’s 1915 general theory of relativity(GR),has been detected directly by the two detectors of the Laser Interferometer Gravitational-Wave Observatory(LIGO)[1,     

宇宙起源与阿里原初引力波探测

20世纪建立起的宇宙大爆炸模型取得了巨大的成功,但仍期待着新的革命性的突破。探知宇宙起源及其演化是新世纪对全世界科学家的新挑战,其重要性在近期公布的中国“十三五”规划纲要中得到了高度的肯定。现代宇宙学理论,暴胀以及非奇异宇宙模型如反弹等,预言了原初引力波的存在,但至今还没有被实验证实。不同于近期LIGO合作组探测到的黑洞引力波,原初引力波是宇宙诞生时期产生的,携带着丰富的宇宙学信息,是引力波探测的全新波段,是引力波探测的下一个突破方向。文章简述了中国的阿里原初引力波实验计划及相关的科学问题。     

Toward the detection of gravitational waves under non-Gaussian noises I. Locally optimal statistic

After reviewing the standard hypothesis test and the matched filter technique to identify gravitational waves under Gaussian noises, we introduce two methods to deal with non-Gaussian stationary noises. We formulate the likelihood ratio function under weakly non-Gaussian noises through the Edgeworth expansion and strongly non-Gaussian noises in terms of a new method we call Gaussian mapping where the observed marginal distribution and the two-body correlation function are fully taken into account. We then apply these two approaches to Student’s t-distribution which has a larger tails than Gaussian. It is shown that while both methods work well in the case the non-Gaussianity is small, only the latter method works well for highly non-Gaussian case.     

Modern Diffraction Methods,edited by E.J. Mittemeijer and U. Welzel

By considering simple examples from the viewpoint of both classical electromagnetism and the special theory of relativity, it is shown that the magnetic forces between moving charges are of order v ²/c ² times the electric forces between the charges, where v is the velocity of the charges. The relevance of electric forces in the definition of the ampere is discussed.     

Compact dark matter objects,asteroseismology, and gravitational waves radiated by sun

The solar surface oscillations observed by Crimean Astrophysical Observatory and Solar Helioseismic Observatory are considered to be excited by a small fraction of Dark Matter in form of Compact Dark Matter Objects (CDMO) in the solar structure. Gravitational Waves (GW) radiated by these CDMO are predicted to be the strongest at the Earth and are easily detectable by European Laser Interferometer Space Antenna or by Gravitational-Wave Observatory “Dulkyn” which can solve two the most challenging tasks in the modern physics: direct detection of GW and DM.