主办单位：中国科学院国家数学与交叉科学中心数学与物质科学交叉研究部

会议地点：国科大雁栖湖校区国际交流中心

12月5日

报到（国科大雁栖湖校区国际交流中心）

12月6日

9：00 

报告人：Prof. P. T. Chrusciel (BIMSA)

题目：Gluing variations

摘要：I will review various ways of constructing spacetimes of interest using spacelike and gluing constructions methods

10：00

报告人：李囧月（中山大学）

题目：On the rigidity of stationary charged black hole:small perturbation of the non-extremal Kerr-Newman family

摘要：We will talk about a perturbative result concerning the uniqueness of kerr-Newman family of black holes:given an asymptotic flat space-time with a bifurcate horizons. If it agrees with a non-extremal Kerr-Newman   spacetime asymptotically at infinity and it is surficiently close to the Kerr-Newman family,then the space-time must be Kerr-Newan solution. The closeness is measured by a pair of Mars-Simon type tersors.

11：00

报告人：叶剑（AMSS）

题目：Closed vacuum static spaces with closed conformal vector fields

摘要：In this talk,we introduce closed vacuum static spaces with a non-Killing closed conformal vector field. We firstly provide several characterizations of the conditions under which the first derivative of the warping function fufills the vacuum static equation. Then we establish an identity involving the characteristic function of a conformal vector field on a Riemannian manifold. As applications,we derive a rigidity theorem on closed Riemannian manifold with a non-Killing closed conformal vector field under suitable conditions and classify closed vacuum static spaces admitting such a vector field.

12：00  午餐

2：00

报告人：赵鹏（北师大）

题目：Trapped surface formation for the Einstein-Weyl spinor system

摘要：We prove trapped-surface formation for the Einstein-Weyl spinor system (gravity coupled to a massless left-handed two-spinor) without any symmetry assumption. To this end we establish a semi-global solution under double null foliation and show that the focusing of the gravitational waves and the Weyl spinor flux leads to the formation of a trapped surface.

3：00

报告人：张一岳 （BIMSA）

题目：Spinorial slicing and causal character of imaginary Killing spinors

摘要： We characterize spin initial data sets saturating the BPS bound in asymptotically AdS spacetimes. Our results show that (1) null imaginary Killing spinors reveal codimension-2 foliations corresponding to Siklos waves,and (2) any imaginary Killing spinor of mixed causal type can be reduced to one that is strictly timelike or null.  This is joint work with Sven Hirsch.

4：30

报告人：蔡天圆（广西大学）

题目： Massless Majorana spinors in the Kerr spacetime

摘要： In this talk,we prove the nonexistence of time-periodic,massless Majorana spinors which are $L^p$ outside the event horizon in the non-extremal Kerr spacetime for $0<p<6/(|\epsilon_1|+|\epsilon_2|+2)$ with some constants $\epsilon_1,\epsilon_2$. By transforming the Dirac equation into the Hamiltomian form,we find that the self-adjointness of Majorana spinor forces the angular momentum to vanish and the Kerr metric reduces to Schwarschild metric. Then we show the initial data with $L^2$ decay at infintiy,the probability of the massless  majorana spinor to be in any compact region of space tends to zero as time goes to infinity.

6:30  晚餐

12月7日

9：00

报告人：罗子人（中科院力学所）

题目：空间引力波探测及其关键技术

摘要：我国空间引力波探测计划将打开中低频引力波探测窗口，为研究宇宙的起源和演化、黑洞的起源和演化，引力本质、暗能量与暗物质等提供全新的方法和手段。由于空间引力波探测涉及一系列关键技术，天琴计划提出了0-1-2-3的发展路线图，太极计划提出了3步走发展路线图，天琴一号与太极一号已于2019年发射成功，并圆满完成了在轨测试。在“引力波探测”国家重点专项支持下，我国空间引力波探测已完成了关键技术攻关，并且各项技术成熟度达到工业立项要求。报告将重点介绍我国空间引力波探测太极计划的最新进展，并对后续工作展开展望。

10：00

报告人：胡彬（北师大）

题目：Finding the dead star in the Universe via gravitational wave

摘要：Strong lensing gravitational wave (SLGW) is a  promising transient phenomenon containing rich physics. These events could facilitate numerous scientific pursuits,such as precision cosmography. However,the poor sky localization due to the long-wave nature of gravitational waves makes the identification of such events very challenging. A key issue is to reduce the false alarm rate (FAR) of the lens events from a vast unlensed dataset. In this paper, we propose a new method based on the wave optics effect of the microlensing field embedded in SLGW data. The microlensing diffraction/interference fringes can produce frequency-dependent random fluctuations in the waveform. We utilise this feature to pin down the SLGWs. Comparing with the previous parameter overlapping method, ours can greatly reduce the FAR. Furthermore, this method is entirely data-driven, which is immune to model priors. This advantage makes our results more robust. To demonstrate the identification efficiency,we forecast the corresponding numbers with the third-generation gravitational wave observatory configuration,such as Cosmic Explorer. Our result shows that this method can successfully identify about 2 (out of 180) SLGW events with strong enough microlensing effect per year.

11：00

报告人：郭敏勇（北师大）

题目：Polarimetric Signatures of Horizon-Scale FluxEruptions in Magnetically Arrested Accretion Flows

摘要：Studies of synchrotron emission from magnetized accretion flows around supermassive black holes have made significant advances. In particular, recent polarimetric measurement of M87* indicates that the magnetic field in its accretion flow may be unstable, posing an open question of how polarization patterns can diagnose dynamical perturbations in such flows. In this work, we perform three-dimensional GRMHD simulations of a magnetically arrested disk near a black hole. The simulations reveal recurrent flux eruptions close to the event horizon, driven by the release of strong magnetic pressure accumulated on the black hole, which expels plasma outward. Using general relativistic radiative transfer calculations, we examine the synchrotron emission during these eruptions and find that the linear polarization fraction is clearly enhanced, while the horizon-scale polarization angle shows stronger temporal variability. Furthermore, incorporating anisotropic electron distributions leads to a marked increase in the observed flux during eruption episodes.

12：00 午餐

2：00

报告人：武伯锋（广西大学）

题目：Motion of Extended Fluid Bodies in the Newtonian Limit of f(R) Gravity

摘要：In the Newtonian limit of f(R) gravity,for an isolated self-gravitating system consisting of N extended fluid bodies, the inter-body dynamics are studied by applying the symmetric and trace-free formalism in terms of irreducible Cartesian tensors. The multipole expansion of each body's center-of-mass acceleration is derived,and the expansion comprises the Coulomb-type part and the Yukawa-type part,where the former,identical to that in General Relativity,is encoded by the products of the mass multipole moments of the body with those of other bodies,and the latter,as the modification introduced by f(R) gravity,is encoded by the products of the scalar multipole moments of the body with those of other bodies. As an essential component of the system's orbital dynamics,the multipole expansion for the total gravitational potential energy is provided,and the expression for the total conserved energy in terms of the mass and scalar multipole moments of the bodies is offered. To investigate the system's spin dynamics,the equation of motion for each body's spin angular momentum is further deduced and presented in the form of multipole expansion. These findings constitute the main content of the coarse-grained description of inter-body dynamics for the system within the framework of Newtonian f(R) gravity. As a by-product,for a two-body system,the effective one-body equation governing the relative motion between the two bodies and the total energy of this system are achieved.

3：00

报告人：张聪（北师大）

题目：Covariant dynamics from static spherically symmetric geometries

报告人：This work reveals a fundamental link between general covariance and Birkhoff's theorem. We extend Birkhoff's theorem from general relativity to a broad class of generally covariant gravity theories formulated in the Hamiltonian framework. Conversely, we show that each one-parameter family of static, spherically symmetric spacetimes determines a class of covariant theories, each of which has that family of spacetimes as its entire vacuum solution space. Our systematic and model-independent framework applies to a wide range of spacetimes, including observationally inferred, quantum-gravity-inspired, and regular black holes. It provides a universal tool for probing their dynamical origins and enables the reconstruction of the underlying covariant theories from observational data, including gravitational-wave and black-hole-shadow measurements.