Xiao Zhang

ORCID: 0000-0001-5893-7523
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Research Areas
  • Black Holes and Theoretical Physics
  • Cosmology and Gravitation Theories
  • Noncommutative and Quantum Gravity Theories
  • Advanced Differential Geometry Research
  • Geometric Analysis and Curvature Flows
  • Advanced Operator Algebra Research
  • Relativity and Gravitational Theory
  • Geometry and complex manifolds
  • Pulsars and Gravitational Waves Research
  • Astrophysical Phenomena and Observations
  • High-pressure geophysics and materials
  • American Constitutional Law and Politics
  • Quantum Electrodynamics and Casimir Effect
  • Advanced Topics in Algebra
  • Stochastic processes and financial applications
  • Crystallography and Radiation Phenomena
  • Urbanization and City Planning
  • Safety and Risk Management
  • MicroRNA in disease regulation
  • Origins and Evolution of Life
  • Judicial and Constitutional Studies
  • Reservoir Engineering and Simulation Methods
  • Topological Materials and Phenomena
  • Genetics, Aging, and Longevity in Model Organisms
  • Invertebrate Immune Response Mechanisms

Academy of Mathematics and Systems Science
2003-2024

Chinese Academy of Sciences
2003-2024

Chongqing University
2022

University of Chinese Academy of Sciences
2020

Guangxi University
2020

Women's Hospital, School of Medicine, Zhejiang University
2020

Zhejiang University
2005-2020

MEI Research (United States)
2005

Fudan University
2002

Institute of Botany
2002

A Riemannian geometry of noncommutative n-dimensional surfaces is developed as a first step toward the construction consistent gravitational theory. Historically, well, was recognized to be underlying structure Einstein’s theory general relativity and led further developments latter. The notions metric connections on such are introduced, it shown that compatible, giving rise corresponding Riemann curvature. latter also satisfies analog second Bianchi identities. As examples, analogs sphere,...

10.1063/1.2953461 article EN Journal of Mathematical Physics 2008-07-01

10.1007/s10714-011-1197-3 article EN General Relativity and Gravitation 2011-05-31

10.1016/j.geomphys.2020.104010 article EN publisher-specific-oa Journal of Geometry and Physics 2020-11-16

Abstract The shadow and observation intensity of a black hole surrounded by thin spherical accretion in the Randall–Sundrum brane world model are investigated. bulk metric depends on tidal charge parameter, q , deformation C . It reduces to that possesses similar form with Reissner–Nordström if is shown radius photon sphere this only parameter. decreases higher mainly influenced secondary importance. In optical observation, holes appear brighter or lower

10.1088/1674-1137/ac624a article EN Chinese Physics C 2022-03-30

We verify that the total angular momentum 3-vector defined by author [X. Zhang, Commun. Math. Phys. 206 (1999) 137] is equal to (0, 0, ma) for any time slice in both Kerr and Kerr–Newman spacetimes.

10.1088/0253-6102/39/5/521 article EN Communications in Theoretical Physics 2003-05-15

We give a short review of recent progress on the positive energy theorem in general relativity, especially for spacetimes with nonzero cosmological constant.

10.1142/s0217751x15450189 article EN International Journal of Modern Physics A 2015-10-20

Inspired by interaction of gravitational waves and dark matters, we study the Bondi-Sachs formalism for Einstein massless scalar field with zero cosmological constant. We provide asymptotic expansions metrics as well fields prove peeling property. also positivity Bondi energy-momentum under conditions ensuring certain asymptotically null hypersurfaces are order 2.

10.48550/arxiv.2402.04577 preprint EN arXiv (Cornell University) 2024-02-06

Abstract We show that the Dirac equation is separated into four differential equations for time-periodic Majorana fermions in Kerr-Newman and Kerr-Newman-(A)dS spacetimes. Although they cannot be transformed radial angular equations, yield two algebraic identities. When electric or magnetic charge nonzero, conclude there no differentiable outside event horizon Kerr-Newman-AdS spacetimes, between cosmological Kerr-Newman-dS spacetime.

10.1088/1674-1137/ad709e article EN cc-by-nc-nd Chinese Physics C 2024-08-19

ABSTRACT Maintenance of motor neuron structure and function is crucial in development behaviour. However, the genetic regulatory mechanism remains less well understood. In present study, we identify a novel neuroprotective role microRNA miR-969 Drosophila neurons. highly expressed Loss results early-onset age-progressive locomotion impairment. Flies lacking also exhibit shortened lifespan. Moreover, required We further kay as functionally important target miR-969. Together, our indicate that...

10.1080/15476286.2020.1757897 article EN RNA Biology 2020-05-13

We construct a one-parameter family of complete metrics Horowitz–Myers type with the negative constant scalar curvature. also verify positive energy conjecture Horowitz and Myers for these metrics.

10.1063/5.0032241 article EN Journal of Mathematical Physics 2020-11-01

10.1007/s11425-011-4230-9 article EN Science China Mathematics 2011-09-24

The self-consistency of general relativity requires that the spacetime total energy must be positive for isolated gravitational systems with mass density. It is called conjecture. plays a fundamental role in relativity, moreover, well-defined if it holds true. In case zero cosmological constant, conjecture was first proved by Schoen and Yau late 1970s, soon later Witten using different method. this paper, we provide review on its recent development 4-dimensional physical spacetimes, which...

10.1360/n012016-00210 article EN Scientia Sinica Mathematica 2017-05-10

Choquet-Bruhat 在其专 著 [3] 的第 96 和 98 页上指出 (原文见脚注 1) ), 谷超豪先生和胡和生先生的这些研究工作发表在中国 It is believed that when a star has exhausted all thermonuclear sources of energy, it will collapse under its own gravitational field.Oppenheimer and Snyder 10 have given rigorous study the process for spherically symmetric dust cloud by using special solution Tolman 11 , in restricted case spatially constant matter density starting from rest.This was taken anew Gu Chao Hao 12 solution, but not to matter.Gu gave an...

10.1360/n012017-00208 article EN Scientia Sinica Mathematica 2017-11-08

We compute the Dirac indexes for two spin structures κ0 and κ1 Eguchi–Hanson metrics with nonzero total mass. It shows that do not vanish in general, axial anomaly exists. When metric has zero mass, index vanishes structure κ0, no exists this case.

10.1088/0253-6102/43/1/016 article EN Communications in Theoretical Physics 2005-01-01
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