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Determination of the spin parameter and the inclination angle from the primary and secondary images caused by gravitational lensing

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Science China(Physics,Mechanics & Astronomy) 2023年第11期66卷 106-118页

作者： Mingzhi Wang Songbai Chen jiliang jing School of Mathematics and Physics Qingdao University of Science and TechnologyQingdao266061China Institute of Physics and Department of Physics Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of EducationSynergetic Innovation Center for Quantum Effects and ApplicationsHunan Normal UniversityChangsha410081China Center for Gravitation and Cosmology College of Physical Science and TechnologyYangzhou UniversityYangzhou225009China

We study the primary images(PIs)and secondary images(SIs)caused by strong gravitational lensing around a Kerr black hole shadow,which carry some essential signatures related to the black hole *** define a new celestial coordinate,whose origin is the center of the black hole shadow,to locate the PIs and SIs of luminous celestial *** on the dragging effect caused by the rotating black hole and the inclination angle of the observer,the relative positions between the PIs and SIs are different for different values of the Kerr spin parameter a and the observer's inclination angle i;hence,it can be used to determine the values of a and *** propose a specific approach to measure a and i using the PIs and *** time delays between the PIs and SIs are different for different values of a and *** time delays,in conjunction with the relative positions between the PIs and SIs,can enable us to measure a and i more *** PIs and SIs around the black hole shadow act as unique fingerprints for the black hole space-time,using which we can further determine other parameters of different types of compact objects and verify various theories of *** results provide a new method to implement parameter estimation in the study of black hole physics and astrophysics.

关键词： black hole shadow gravitational lensing the primary images the secondary images

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Energy flux and waveform of gravitational wave generated by coalescing slow-spinning binary system in effective one-body theory

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Science China(Physics,Mechanics & Astronomy) 2024年第9期67卷 73-83页

作者： Weike Deng Sheng Long jiliang jing Department of Physics Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Educationand Synergetic Innovation Center for Quantum Effects and ApplicationsHunan Normal UniversityChangsha 410081China Center for Gravitation and Cosmology College of Physical Science and TechnologyYangzhou UniversityYangzhou 225009China

We extend our research on the energy flux and waveform characteristics of gravitational waves generated by merging nonspinning binary black holes through self-consistent effective one-body theory to include binary systems with slowly spinning black ***,we decompose the equation for the null tetrad component of the gravitationally perturbed Weyl tensorψ_4~B into radial and angular parts,leveraging the second-order approximation of the rotation parameter ***,we derive an analytical solution for the radial equation and observe that our results are contingent upon the parameters a_(2),a_(3),and a,which represent the second-and third-order correction parameters,***,we calculate the energy flux,the radiation-reaction force and the waveform for the“plus”and“cross”modes of the gravitational waves generated by merging slowly spinning binary black holes.

关键词： post-Minkowskian approximation effective-one-body theory gravitational waveform template

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Thick accretion disk configurations around a compact object in the brane-world scenario

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Communications in Theoretical Physics 2023年第11期75卷 76-83页

作者： Yunzhu Wei Songbai Chen jiliang jing Department of Physics Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of EducationInstitute of Interdisciplinary StudiesSynergetic Innovation Center for Quantum Effects and ApplicationsHunan Normal UniversityChangshaHunan 410081China Center for Gravitation and Cosmology College of Physical Science and TechnologyYangzhou UniversityYangzhou 225009China

We have studied the equipotential surfaces of a thick accretion disk around a Casadio-Fabbri-Mazzacurati compact object in the brane-world scenario,which possesses a mass parameter together with a parameterized post-Newtonian(PPN)*** the increase in the PPN parameter,the size of the thick accretion disk decreases,but the corresponding Roche lobe size ***,the larger PPN parameter yields the larger region of existing bound disk structures,where the fluid is not accreted into the central ***,with the increase in the PPN parameter,the position of the Roche lobe gradually moves away from the central compact object,and the thickness of the region enclosed by the Roche lobe decreases near the compact object but increases in the region far from the compact *** results also show that the pressure gradient in the disk decreases with the PPN *** effects of the PPN parameter on the thick accretion disk could help one to further understand compact objects in the brane-world scenario.

关键词： black hole brane world wormhole

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Chaotic shadows of black holes:a short review

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Communications in Theoretical Physics 2022年第9期74卷 356-369页

作者： Mingzhi Wang Songbai Chen jiliang jing School of Mathematics and Physics Qingdao University of Science and TechnologyQingdaoShandong 266061China Institute of Physics and Department of Physics Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of EducationSynergetic Innovation Center for Quantum Effects and ApplicationsHunan Normal UniversityChangshaHunan 410081China Center for Gravitation and Cosmology College of Physical Science and TechnologyYangzhou UniversityYangzhou 225009China

We give a brief review on the formation and the calculation of black hole ***,we introduce the concept of a black hole shadow and the current works on a variety of black hole ***,we present the main methods of calculating photon sphere radius and shadow radius,and then explain how the photon sphere affects the boundary of black hole *** review the analytical calculation for black hole shadows which have analytic expressions for shadow boundary due to the integrable photon motion *** we introduce the fundamental photon orbits which can explain the patterns of black hole shadow ***,we review the numerical calculation of black hole shadows with the backward ray-tracing method and introduce some chaotic black hole shadows with self-similar fractal *** the gravitational waves from the merger of binary black holes have been detected,we introduce a couple of shadows of binary black holes,which all have eyebrowlike shadows around the main shadows with the fractal *** discuss the invariant phase space structures of the photon motion system in black hole space-time,and explain the formation of black hole shadow is dominated by the invariant manifolds of certain Lyapunov orbits near the fixed points.

关键词： black hole shadow photon sphere chaos

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Lorentz violation induces isospectrality breaking in Einstein-bumblebee gravity theory

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Science China(Physics,Mechanics & Astronomy) 2024年第8期67卷 87-96页

作者： Wentao Liu Xiongjun Fang jiliang jing Jieci Wang Department of Physics Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of EducationSynergetic Innovation Center for Quantum Effects and ApplicationsHunan Normal UniversityChangsha 410081China

In this study,we investigate the quasinormal modes(QNMs)of a Lorentz-violating spacetime,factoring in a cosmological constant,within the framework of Einstein-bumblebee *** findings reveal that the interaction of spacetime with an anisotropic bumblebee field imparts distinct contributions to the axial and polar sectors of the vector *** subsequently breaks the isospectrality typically observed in vector *** evidence strongly indicates isospectral breaking in the vector modes of Einstein-bumblebee black holes:a pronounced breakage in the real part of the frequencies,while the imaginary component seems less *** isospectral breaking indicates the existence of two different waveforms in the Ringdown phase of the black hole,which provides a potential signal of quantum gravity observable in current experiments.

关键词： Lorentz-violating isospectral breaking quasinormal modes

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Gauge invariant perturbations of general spherically symmetric spacetimes

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Science China(Physics,Mechanics & Astronomy) 2023年第1期66卷 141-154页

作者： Wentao Liu Xiongjun Fang jiliang jing Anzhong Wang Department of Physics Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of EducationSynergetic Innovation Center for Quantum Effects and ApplicationsHunan Normal UniversityChangsha 410081China GCAP-CASPER Departmentof PhysicsBaylor UniversityWaco76798-7316USA

In this paper,the gauge choices in general spherically symmetric spacetimes are *** particular,we construct the gauge invariant variables and the master equations for both the Detweiler easy gauge and the Regge-Wheeler gauge,*** particular cases for l=0,1 are also *** results provide analytical calculations of metric perturbations in general spherically symmetric spacetimes,which can be applied to various cases,including the effective-one-body problem.A simple example is presented to show how the metric perturbation components are related to the source perturbation terms.

关键词： metric perturbation gauge invariant master equation

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Self-consistent effective-one-body theory for spinning binaries based on post-Minkowskian approximation

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Science China(Physics,Mechanics & Astronomy) 2023年第7期66卷 17-28页

作者： jiliang jing Weike Deng Sheng Long Jieci Wang Department of Physics Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Educationand Synergetic Innovation Center for Quantum Effects and ApplicationsHunan Normal UniversityChangsha 4100821China Center for Gravitation and Cosmology College of Physical Science and TechnologyYangzhou UniversityYangzhou 225009China

This study extends the research on the self-consistent effective-one-body theory of a real spinless two-body system based on the post-Minkowskian approximation(***.65,100411(2022))to the case of a binary system for the spinning black *** effective rotating metric and an improved Hamiltonian for the spinning black hole binaries are *** decoupled equation for the null tetrad component of the gravitational perturbed Weyl tensorψ4B in the effective rotating spacetime is found with the help of the gauge transform characteristics of the Weyl *** decoupled equation is then separated between radial and angular variables in the slowly rotating background spacetime,and a formal solution of ψ_(4)^(B) is *** this basis,the formal expressions of the radiation reaction force and the waveform for the“plus”and“cross”modes of the gravitational wave are *** results,obtained in the same effective spacetime,constitute a self-consistent effective-one-body theory for the spinning black hole binaries based on the post-Minkowskian approximation.

关键词： real spin two-body system decoupled equation with separable variables forψ_(4)^(B) ffective-one-body theory

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Black hole images:A review

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Science China(Physics,Mechanics & Astronomy) 2023年第6期66卷 101-117页

作者： Songbai Chen jiliang jing Wei-Liang Qian Bin Wang Department of Physics Synergetic Innovation Centerfor Quantum Effects and ApplicationsHunan Normal UniversityChangsha 40081China Center for Gravitation and Cosmology College of Physical Science and TechnologyYangzhou UniversityYangzhou 225009China Escola de Engenharia de Lorena Universidade de Sao PauloSao Paulo 12602-810Brazil Faculdade de Engenharia de Guaratingueta Universidade Estadual PaulistaSao Paulo 12516-410Brazil School of Aeronautics and Astronautics Shanghai Jiao Tong UniversityShanghai 200240China

In recent years,unprecedented progress has been achieved regarding black holes’observation through the electromagnetic *** images of the supermassive black holes M87*and Sgr A*released by the Event Horizon Telescope(EHT)Collaboration provided direct visual evidence for their existence,which has stimulated further studies on various aspects of the compact celestial ***,the information stored in these images provides a new way to understand the pertinent physical processes that occurred near the black holes,to test alternative theories of gravity,and to furnish insight into fundamental *** this review,we briefiy summarize the recent developments on the *** particular,we elaborate on the features and formation mechanism of black hole shadows,the properties of black hole images illuminated by the surrounding thin accretion disk,and the corresponding polarization *** potential applications of the relevant studies are also addressed.

关键词： black hole shadow accretion disk polarization image

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Generalized gravitomagnetic field and gravitational waves

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Science China(Physics,Mechanics & Astronomy) 2019年第11期62卷 138-141页

作者： XiaoKai He jiliang jing ZhouJian Cao School of Mathematics and Computational Science Hunan First Normal UniversityChangsha 410205China Department of Physics Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Educationand SynergeticInnovation Center for Quantum Effects and ApplicationsHunan Normal UniversityChangshaHunan 410081China Department of Astronomy Beijing Normal UniversityBeijing 100875China

Synge was the first to derive the geodesic deviation entirely mathematically (1)Only later did people realize its importance [2] for describing the physical behavior of curved spacetime [3], particularly that it can unambiguously manifest gravitational waves (4, 5)The geodesic deviation relates purely to the 'electric' part of a curved spacetime, while the complementary 'magnetic' part is related to the way gyroscopes adapt to geodesics. For Ricci flat spacetimes.

关键词： Generalized gravitomagnetic field and gravitational waves

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The Motion of a Gyroscope Freely Falling Along the Radial Geodesic in the Space-Time of a Black Hole with a Global Monopole

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Chinese Physics Letters 1993年第7期10卷 445-448页

作者： jing jiliang YU Hongwei WANG Yongjiu Institute of Physics Hunan Normal UniversityChangsha 410081

By means of the orthonormal frame,the motion of the axis of a gyroscope freely falling along the radial geodesic in the space-time of a black hole with a global monopole is *** is shown that the axis of the gyroscope ... 详细信息

关键词： radial rotate geodesic

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