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Slowly rotating charges from Weyl double copy for kerr black hole with Chern-Simons correction

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Communications in Theoretical Physics 2024年第8期76卷 139-146页

作者： Yi-Ran Liu Jing-Rui Zhang Yun-Long Zhang School of Fundamental Physics and Mathematical Sciences Hangzhou Institute for Advanced StudyUCASHangzhou 310024China CAS Key Laboratory of Theoretical Physics Institute of Theoretical PhysicsChinese Academy of SciencesBeijing 100190China University of Chinese Academy of Sciences Beijing 100149China National Astronomy Observatories Chinese Academy of ScienceBeijing 100101China International Center for Theoretical Physics Asia-Pacific Beijing/HangzhouChina

The Weyl double copy builds the relation between gauge theory and gravity theory, in particular the correspondence between gauge solutions and gravity solutions. In this paper, we obtain the slowly rotating charge solutions from the Weyl double copy for the kerr black hole with small Chern-Simons correction. Based on the Weyl double copy relation, for the Petrov type D solution in Chern-Simons modified gravity, we find the additional correction to the electromagnetic field strength tensor of the rotating charge. For the Petrov type I solution, we find that the additional electromagnetic field strength tensors have external sources, while the total sources vanish at the leading order.

关键词： Chern-Simons modified gravity Weyl double copy kerr black hole

Dynamics of particles around a pseudo-Newtonian kerr black hole with halos

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Chinese Physics B 2012年第5期21卷 88-99页

作者：王颖伍歆 Department of Physics Nanchang University

The regular and chaotic dynamics of test particles in a superposed field between a pseudo-Newtonian kerr black hole and quadrupolar halos is *** particular,the dependence of dynamics on the quadrupolar parameter of the halos and the spin angular momentum of the rotating black hole is *** is found that the small quadrupolar moment,in contrast with the spin angular momentum,does not have a great effect on the stability and radii of the innermost stable circular orbits of these test *** addition,chaos mainly occurs for small absolute values of the rotating parameters,and does not exist for the maximum counter-rotating case under some certain initial conditions and *** means that the rotating parameters of the black hole weaken the chaotic *** is also found that the counter-rotating system is more unstable than the co-rotating ***,chaos is absent for small absolute values of the quadrupoles,and the onset of chaos is easier for the prolate halos than for the oblate ones.

关键词： pseudo-Newtonian potential kerr black hole chaos

Microscopic states of kerr black holes from boundary-bulk correspondence

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Chinese Physics C 2021年第1期45卷 383-391页

作者： Jing-Bo Wang Institute for Gravitation and Astrophysics College of Physics and Electronic EngineeringXinyang Normal UniversityXinyang 464000China

It was previously claimed by the author that black holes can be considered as topological insulators. Both black holes and topological insulators have boundary modes, and the boundary modes can be described by an effective BF theory. In this paper, the boundary modes on the horizons of black holes are analyzed using methods developed for topological insulators. BTZ black holes are analyzed first, and the results are found to be compatible with previous works. The results are then generalized to kerr black holes, for which new results are obtained: dimensionless right-and left-temperatures can be defined and have well behavior in both the Schwarzschild limit a → 0 and the extremal limit a → M. Upon the kerr/CFT correspondence, a central charge c = 12 Mr+ can be associated with an arbitrary kerr black hole. Moreover, the microstates of the kerr black hole can be identified with the quantum states of this scalar field. From this identification, the number of microstates of the kerr black hole can be counted, yielding the Bekenstein-Hawking area law for the entropy.

关键词： boundary modes BTZ black hole kerr black hole

Topological Aspects of Entropy and Phase Transition of kerr black holest

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Communications in Theoretical Physics 2005年第4X期44卷 631-637页

作者： YANG Guo-Hong YAN Ji-Jiang TIAN Li-Jun DUAN Yi-Shi Department of Physics Shanghai University Shanghai 200444 China Institute of Theoretical Physics Lanzhou University Lanzhou 730000 China

In the light of topological current and the relationship between the entropy and the Euler characteristic, the topological aspects of entropy and phase transition of kerr black holes are studied. From Gauss-Bonnet-Chern theorem, it is shown that the entropy of kerr black holes is determined by the singularities of the Killing vector field of spacetime. By calculating the Hopf indices and Brouwer degrees of the Killing vector field at the singularities, the entropy S = A/4 for nonextreme kerr black holes and S = 0 for extreme ones are obtained, respectively. It is also discussed that, with the change of the ratio of mass to angular momentum for unit mass, the Euler characteristic and the entropy of kerr black holes will change discontinuously when the singularities on Cauchy horizon merge with the singularities on event horizon, which will lead to the first-order phase transition of kerr black holes.

关键词： topological current entropy kerr black hole Euler characteristic Killing vector field

Intrinsic Topological Structure of Entropy of kerr black holes

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Journal of Shanghai University(English Edition) 2005年第4期9卷 326-331页

作者：颜继江杨国宏田立君 Department of Physics College of Sciences Shanghai University Shanghai 200444 P. R. China

In the light of Ф-mapping method and the relationship between entropy and the Euler characteristic, the intrinsic topological structure of entropy of kerr black holes is studied. From the Ganss-Bonnet-Chem theorem, it is shown that the entropy of kerr black hole is determined by singularities of the Killing vector field of spacetime. These singularities naturally carry topological numbers, Hopf indices and Brouwer degrees, which can also be viewed as topological quantization of entropy of kerr black holes. Specific results S = A/4 for non-extreme kerr black holes and S = 0 for extreme ones are calculated independently by using the above-mentioned methods.

关键词： entropy kerr black hole Euler characteristic Killing vector field.

Gravitational Waves from a Pseudo-Newtonian kerr Field with Halos

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Communications in Theoretical Physics 2011年第12期56卷 1045-1051页

作者：王颖伍歆 Institute of Astronomy & Department of Physics Nanchang University

A close relation between gravitational waveforms and the types of trajectories in a superposed field between a pseudo-Newtonian kerr black hole and quadrupolar halos is shown in detail The gravitational waveforms emitted from circular, KAM tori and chaotic orbits must be periodic, quasiperiodic and stochastic, respectively. The chaotic motion can maximally enhance both the amplitudes and the energy emission rates of the waves.

关键词： pseudo-Newtonian potential kerr black hole chaos gravitational waves

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Matter Reactors

Journal of High Energy Physics, Gravitation and Cosmology 2023年第2期9卷 455-460页

作者： Rami Rom Independent Researcher Zikhron-Yaakov Israel

In a previous paper, we proposed that a QCD gas that may be a possible candidate for the general theory of gravity (GR) ether may be comprised of ud~du~ exotic mesons. A method to determine the effective mass of the ud~du~ exotic meson and the Friedmann-Robertson-Walker (FRW) metric scale factor equation of state dimensionless parameter, w, by measuring the pseudo-first order β decay rates expected to be inversely proportional to the QCD gas atmospheric density was given. Here, we propose to measure the β decay rate, t1/2, and the earth distance to the milky-way galaxy super massive black hole (SMBH), hSMBH, at the earth aphelion each year for several years, and fit the data with the linear curve: -lnt1/2 = ahSMBH + b. The slope parameter, a, and the free parameter, b, may be used to calculate the kerr spin parameter and determine if the QCD gas density on the ergosphere remains constant in time, or alternatively, grows in time according to Corley and Jacobson’s proposed black hole laser process.

关键词： Compact Exotic Mesons β Decay Rate Variability kerr black hole Supermassive black hole black hole Laser Ergoregion Ergosphere Hawking Radiation Superradiance Carnot Engine FRW Metric Dark Energy