Relating Material and Space-Time Metrics Within Relativistic Elasticity: A Dynamical Example

被引:0
|
作者
Vaz, E. G. L. R. [1 ]
Brito, Irene [1 ]
Carot, J. [2 ]
机构
[1] Univ Minho, Dept Matemat Ciencia & Tecnol, P-4800058 Guimaraes, Portugal
[2] Univ Illes Balears, Dept Fs, Palma de Mallorca 07122, Spain
来源
DYNAMICS, GAMES AND SCIENCE I | 2011年 / 1卷
关键词
NONROTATING STAR; EQUATIONS;
D O I
10.1007/978-3-642-11456-4_50
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Given a space-time and a continuous medium with elastic properties described by a 3-dimensional material space, one can ask whether they are compatible in the context of relativistic elasticity. Here a non-static, spherically symmetric spacetime metric is considered and we investigate the conditions for that metric to correspond to different 3-dimensional material metrics.
引用
收藏
页码:763 / 767
页数:5
相关论文
共 50 条
  • [1] General Relativistic Space-Time with η1-Einstein Metrics
    Li, Yanlin
    Mofarreh, Fatemah
    Dey, Santu
    Roy, Soumendu
    Ali, Akram
    MATHEMATICS, 2022, 10 (14)
  • [2] SOME SPACE-TIME METRICS
    KUZMENKOV, LS
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII FIZIKA, 1975, (05): : 130 - 131
  • [3] Space-time dynamical models
    Mico, Joan C.
    Caselles, Antonio
    Romero, Pantaleon D.
    KYBERNETES, 2008, 37 (07) : 1030 - 1058
  • [4] Killing tensors as space-time metrics
    Hinterleitner, F
    ANNALS OF PHYSICS, 1999, 271 (01) : 23 - 30
  • [5] Aging in a Relativistic Biological Space-Time
    Maestrini, Davide
    Abler, Daniel
    Adhikarla, Vikram
    Armenian, Saro
    Branciamore, Sergio
    Carlesso, Nadia
    Kuo, Ya-Huei
    Marcucci, Guido
    Sahoo, Prativa
    Rockne, Russell C.
    FRONTIERS IN CELL AND DEVELOPMENTAL BIOLOGY, 2018, 6
  • [6] Noncommutative space-time and relativistic dynamics
    Mir-Kasimov, R. M.
    PHYSICS OF PARTICLES AND NUCLEI, 2017, 48 (02) : 309 - 318
  • [7] Relativistic positioning in Schwarzschild space-time
    Puchades, Neus
    Saez, Diego
    SPANISH RELATIVITY MEETING (ERE 2014): ALMOST 100 YEARS AFTER EINSTEIN'S REVOLUTION, 2015, 600
  • [8] Space-time as a structured relativistic continuum
    Slawianowski, J. J.
    Kovalchuk, V.
    Golubowska, B.
    Martens, A.
    Rozko, E. E.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (14) : 5404 - 5422
  • [9] Relativistic particles on quantum space-time
    Stern, A.
    PHYSICS LETTERS A, 2011, 375 (25) : 2498 - 2502
  • [10] Relativistic algebra of space-time and algebrodynamics
    V. V. Kassandrov
    J. A. Rizcallah
    Gravitation and Cosmology, 2016, 22 : 230 - 233