Orbits of test particles in three-dimensional Maxwell-Dilaton spacetime: exact analytical solution to the geodesic equation

被引：2
|
作者：
Panotopoulos, Grigoris [1 ]
机构：
[1] Univ Lisboa UL, Dept Fis, Ctr Astrofis & Gravitacao, Inst Super Tecn IST, Ave Rovisco Pais, P-1049001 Lisbon, Portugal
来源：
GENERAL RELATIVITY AND GRAVITATION | 2020年 / 52卷 / 06期
关键词：
Three-dimensional gravity; Hyperelliptic functions; Exact solutions; CHARGED BLACK-HOLES; GENERAL-RELATIVITY; FIELD; MASS;
D O I：
10.1007/s10714-020-02706-x
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We study the orbits of both massive test particles and light rays in the background of(1+2)-dimensional space-time. In particular, we have obtained exact analytical solutions to the geodesic equations in terms of the Weierstrass function for the Einstein-Maxwell-Dilaton space-time. The trajectories in the(x - y) plane are shown as well, and the comparison with the neutral BTZ space-time is made.
引用
收藏
页数：12
相关论文
共 35 条
  • [1] Orbits of test particles in three-dimensional Maxwell–Dilaton spacetime: exact analytical solution to the geodesic equation
    Grigoris Panotopoulos
    General Relativity and Gravitation, 2020, 52
  • [2] Thermodynamic geometry of three-dimensional Einstein–Maxwell-dilaton black hole
    Xin-Yang Wang
    Ming Zhang
    Wen-Biao Liu
    The European Physical Journal C, 2018, 78
  • [3] Orbits of light rays in (1+2)-dimensional Einstein-power-Maxwell gravity: Exact analytical solution to the null geodesic equations
    Panotopoulos, Grigoris
    Rincon, Angel
    ANNALS OF PHYSICS, 2022, 443
  • [4] Exact Analytical Solution for Three-Dimensional Interception of a Maneuvering Target
    Nguyen X. Vinh
    Pierre T. Kabamba
    Tetsuya Takehira
    The Journal of the Astronautical Sciences, 1998, 46 (3) : 283 - 305
  • [5] Exact analytical solution for three-dimensional interception of a maneuvering target
    Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI 48109-2140, United States
    不详
    J Astronaut Sci, 3 (283-305):
  • [6] Exact Analytical Solution for Three-Dimensional Interception of a Maneuvering Target
    Vinh, Nguyen X.
    Kabamba, Pierre T.
    Takehira, Tetsuya
    Journal of the Astronautical Sciences, 1998, 46 (03): : 283 - 305
  • [7] Exact analytical solution for three-dimensional interception of a maneuvering target
    Vinh, NX
    Kabamba, PT
    Takehira, T
    JOURNAL OF THE ASTRONAUTICAL SCIENCES, 1998, 46 (03): : 283 - 305
  • [8] Exact analytical solution to a three-dimensional interception of a maneuvering target
    Vinh, NX
    Kabamba, PT
    Takehira, T
    SPACEFLIGHT MECHANICS 1998, VOL 99, PTS 1 AND 2, 1998, 99 : 503 - 521
  • [9] Search for an analytical solution in the three-dimensional gross–pitaevskii equation
    Laponin V.S.
    Savenkova N.P.
    Computational Mathematics and Modeling, 2017, 28 (2) : 228 - 236
  • [10] Exact solution of an optimization problem generated by the three-dimensional Laplace equation
    Mzedawee, A. N.
    Rodionov, V., I
    IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA, 2018, 51 : 52 - 78
1234