The Experts below are selected from a list of 54 Experts worldwide ranked by ideXlab platform

Ali Övgün - One of the best experts on this subject based on the ideXlab platform.

  • Finite-Distance Gravitational Deflection of Massive Particles by the Kerr-like Black Hole in the Bumblebee Gravity Model
    Physical Review D, 2020
    Co-Authors: Zonghai Li, Ali Övgün
    Abstract:

    In this paper, we study the weak gravitational deflection Angle of relativistic massive particles by the Kerr-like black hole in the bumblebee gravity model. In particular, we focus on weak field limits and calculate the deflection Angle for a receiver and source at a finite distance from the lens. To this end, we use the Gauss-Bonnet theorem of a two-dimensional surface defined by a generalized Jacobi metric. The spacetime is asymptotically non-flat due to the existence of a bumblebee vector field. Thus the deflection Angle is modified and can be divided into three parts: the surface integral of the Gaussian curvature, the path integral of a geodesic curvature of the particle ray and the change in the Coordinate Angle. In addition, we also obtain the same results by defining the deflection Angle. The effects of the Lorentz breaking constant on the gravitational lensing are analyzed. In particular, we correct a mistake in the previous literature. Furthermore, we consider the finite-distance correction for the deflection Angle of massive particles.

  • Finite-Distance Gravitational Deflection of Massive Particles by the Kerr-like Black Hole in the Bumblebee Gravity Model
    2019
    Co-Authors: Zonghai Li, Ali Övgün
    Abstract:

    In this paper, we study the weak gravitational deflection Angle of relativistic massive particles by the Kerr-like black hole in the bumblebee gravity model. In particular, we focus on weak field limits and calculate the deflection Angle for a receiver and source at a finite distance from the lens. To this end, we use the Gauss-Bonnet theorem of a two-dimensional surface defined by a generalized Jacobi metric. The spacetime is asymptotically non-flat due to the existence of a bumblebee vector field. Thus the deflection Angle is modified and can be divided into three parts: the surface integral of the Gaussian curvature, the path integral of a geodesic curvature of the particle ray and the change in the Coordinate Angle. In addition, we also obtain the same results by defining the deflection Angle. The effects of the Lorentz breaking constant on the gravitational lensing are analyzed. We then consider the finite-distance correction for the deflection Angle of massive particles.

Zonghai Li - One of the best experts on this subject based on the ideXlab platform.

  • Finite-Distance Gravitational Deflection of Massive Particles by the Kerr-like Black Hole in the Bumblebee Gravity Model
    Physical Review D, 2020
    Co-Authors: Zonghai Li, Ali Övgün
    Abstract:

    In this paper, we study the weak gravitational deflection Angle of relativistic massive particles by the Kerr-like black hole in the bumblebee gravity model. In particular, we focus on weak field limits and calculate the deflection Angle for a receiver and source at a finite distance from the lens. To this end, we use the Gauss-Bonnet theorem of a two-dimensional surface defined by a generalized Jacobi metric. The spacetime is asymptotically non-flat due to the existence of a bumblebee vector field. Thus the deflection Angle is modified and can be divided into three parts: the surface integral of the Gaussian curvature, the path integral of a geodesic curvature of the particle ray and the change in the Coordinate Angle. In addition, we also obtain the same results by defining the deflection Angle. The effects of the Lorentz breaking constant on the gravitational lensing are analyzed. In particular, we correct a mistake in the previous literature. Furthermore, we consider the finite-distance correction for the deflection Angle of massive particles.

  • Finite-Distance Gravitational Deflection of Massive Particles by the Kerr-like Black Hole in the Bumblebee Gravity Model
    2019
    Co-Authors: Zonghai Li, Ali Övgün
    Abstract:

    In this paper, we study the weak gravitational deflection Angle of relativistic massive particles by the Kerr-like black hole in the bumblebee gravity model. In particular, we focus on weak field limits and calculate the deflection Angle for a receiver and source at a finite distance from the lens. To this end, we use the Gauss-Bonnet theorem of a two-dimensional surface defined by a generalized Jacobi metric. The spacetime is asymptotically non-flat due to the existence of a bumblebee vector field. Thus the deflection Angle is modified and can be divided into three parts: the surface integral of the Gaussian curvature, the path integral of a geodesic curvature of the particle ray and the change in the Coordinate Angle. In addition, we also obtain the same results by defining the deflection Angle. The effects of the Lorentz breaking constant on the gravitational lensing are analyzed. We then consider the finite-distance correction for the deflection Angle of massive particles.

Magdalena Toda - One of the best experts on this subject based on the ideXlab platform.

  • Initial Value Problems of the Sine-Gordon Equation and Geometric Solutions
    Annals of Global Analysis and Geometry, 2005
    Co-Authors: Magdalena Toda
    Abstract:

    Recent results using inverse scattering techniques interpret every solution φ( x , y ) of the sine-Gordon equation as a nonlinear superposition of solutions along the axes x =0 and y =0. This has a well-known geometric interpretation, namely that every weakly regular surface of Gauss curvature K =−1, in arc length asymptotic line parametrization, is uniquely determined by the values φ( x , 0) and φ(0, y ) of its Coordinate Angle along the axes. We introduce a generalized Weierstrass representation of pseudospherical surfaces that depends only on these values, and we explicitely construct the associated family of pseudospherical immersions corresponding to it.

  • Initial Value Problems of the Sine-Gordon Equation and Geometric Solutions
    arXiv: Differential Geometry, 2003
    Co-Authors: Magdalena Toda
    Abstract:

    Recent results using inverse scattering techniques interpret every solution $\phi (x,y)$ of the sine-Gordon equation as a non-linear superposition of solutions along the axes $x=0$ and $y=0$. Here we provide a geometric method of integration, as well as a geometric interpretation. Specifically, every weakly regular surface of Gauss curvature $K=-1$, in arc length asymptotic line parametrization, is uniquely determined by the values $\phi(x,0)$ and $\phi(0,y)$ of its Coordinate Angle along the axes. Based on a generalized Weierstrass pair that depends only on these values, we prove that to each such unconstrained pair of differentiable functions, there corresponds uniquely an associated family of pseudospherical immersions; we construct these immersions explicitely.

A. V. Stepanov - One of the best experts on this subject based on the ideXlab platform.

Qin Yi - One of the best experts on this subject based on the ideXlab platform.

  • algorithm for 3 d space three Coordinate Angle measurement monocular passive location
    Journal of Xi'an University of Science and Technology, 2007
    Co-Authors: Qin Yi
    Abstract:

    In practical war case a monocular passive location system usually works as a substitute of an active location system,so it is every important for research on algorithm for passive location system with some initial condition(initial distance and velocity).Based on the three-dimension space movement geometrical model,together with the velocity restraint conditions of target and observer respectively,a model is proposed for algorithm for three-dimension space three-Coordinate Angle measurement monocular passive location to moving target.The location equations under this model is obtained,the solution existence requirement is discussed,a conclusion is drawn that there may exist two solutions.Consequently,the only solution is achieved upon the supposition that each adjacent three dots in the track are on a line for a target with high velocity.At last,the relevant stimulating system is build,with which location to several track is done.It has shown by computer simulation that the new algorithm is valid for all kind intruding target tracks,and the relative error is less than ±2%.