SPHERICAL SYMMETRIC SOLUTIONS FOR THE MOTION OF RELATIVISTIC MEMBRANES AND NULL MEMBRANES IN THE REISSNER-NORDSTRÖM SPACE-TIME

doi:10.1016/S0252-9602(14)60059-X

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (3): 917-931.doi: 10.1016/S0252-9602(14)60059-X

SPHERICAL SYMMETRIC SOLUTIONS FOR THE MOTION OF RELATIVISTIC MEMBRANES AND NULL MEMBRANES IN THE REISSNER-NORDSTRÖM SPACE-TIME

罗少盈*|刘琦

Department of Mathematics, Zhejiang University, Hangzhou 310027, China

收稿日期:2013-05-21 修回日期:2013-09-01 出版日期:2014-05-20 发布日期:2014-05-20
作者简介:罗少盛|11206010@zju.edu.cn
基金资助:
This work was in part supported by the NNSF of China (11271323).

SPHERICAL SYMMETRIC SOLUTIONS FOR THE MOTION OF RELATIVISTIC MEMBRANES AND NULL MEMBRANES IN THE REISSNER-NORDSTRÖM SPACE-TIME

LUO Shao-Sheng*, LIU Qi

Department of Mathematics, Zhejiang University, Hangzhou 310027, China

Received:2013-05-21 Revised:2013-09-01 Online:2014-05-20 Published:2014-05-20
About author:LUO Shao-Sheng|11206010@zju.edu.cn
Supported by:
This work was in part supported by the NNSF of China (11271323).

摘要/Abstract

摘要：

In this article, we concern the motion of relativistic membranes and null membranes in the Reissner-Nordstr¨om space-time. The equation of relativistic membranes moving in the Reissner-Nordstr¨om space-time is derived and some properties are discussed. Spherical symmetric solutions for the motion are illustrated and some interesting physical phenomena are discovered. The equations of the null membranes are derived and the exact solutions are also given. Spherical symmetric solutions for null membranes are just the two horizons of Reissner-Nordstr¨om space-time.

关键词: Reissner-Nordstr¨om space-time, nonlinear wave equation, spherical symmetric solution, null-membrane, horizon

Abstract:

Key words: Reissner-Nordstr¨om space-time, nonlinear wave equation, spherical symmetric solution, null-membrane, horizon

中图分类号:

35L70

罗少盈, 刘琦. SPHERICAL SYMMETRIC SOLUTIONS FOR THE MOTION OF RELATIVISTIC MEMBRANES AND NULL MEMBRANES IN THE REISSNER-NORDSTRÖM SPACE-TIME[J]. 数学物理学报(英文版), 2014, 34(3): 917-931.

LUO Shao-Ying, LIU Qi. SPHERICAL SYMMETRIC SOLUTIONS FOR THE MOTION OF RELATIVISTIC MEMBRANES AND NULL MEMBRANES IN THE REISSNER-NORDSTRÖM SPACE-TIME[J]. Acta mathematica scientia,Series B, 2014, 34(3): 917-931.

参考文献

[1] Allen P, Andersson L, Isenberg,J. Timelike minimal submanifolds of general co-dimension in Minkowski space time. J Hyperbolic Differ Equ, 2006, 3(4): 691–700

[2] Brendle S. Hypersurfaces in Minkowski space with vanishing mean curvature. Comm Pure Appl Math, 2002, 55(10): 1249–1279

[3] Gu Chaohao. A global study of extremal surfaces in 3-dimensional Minkowski space//Gu Chaohao, Berger M, Bryant R L. Differential geometry and differential equations. Berlin: Springer-Verlag, 1987: 26–33

[4] Gu Chaohao. A class of boundary problems for extremal surfaces of mixed type in Minkowski 3-space. J Reine Angew Math, 1988, 385: 195–202

[5] Lindblad H. A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time. Proc Amer Math Soc, 2004, 132(4): 1095–1102

[6] Bordeman M, Hoppe J. The dynamics of relativistic membranes: Reduction to 2-dimensional fluid dynam-ics. Phys Lett B, 1993, 317(3): 315–320

[7] Huang Shoujun, Kong Dexing. Equations for the motion of relativistic torus in the Minkowski space R¹⁺ⁿ. J Math Phys, 2007, 48(8): 083510

[8] DeVega H J, Sanches N. Lectures on String Theory in Curved Spacetimes[M]//String Gravity and Physics at the Planck Energy Scale. Netherlands: Springer, 1996: 11–63

[9] Roshchupkin S N, Zheltukhin A A. On a Possibility of Membrane Cosmology (Preprint)

[10] Lax P D. Hyperbolic systems of conservation laws II. Commun. Pure Appl Math, 1957, 10(4): 537–556

[11] Majda A. Compressible Fluid Flow and System of Conservation Laws in Several Space Variables. Applied Mathematical Sciences 53. New York: Springer-Verlag, 1984

[12] He Chunlei, Kong Dexing. Spherical symmetric solutions for the motion of relativistic membranes in the Schwarzschild spacetime. Journal of Mathematical Physics, 2009, 50(8): 083516

[13] Osserman R. A survey of minimal surfaces[M]. Second edition. New York: Dover Publications, Inc, 1986

[14] Lelyakov A, Roshchupkin S. Null Membranes in Dyonic Black Hole Background. Turkish Journal of Physics, 2003, 27: 293–298

[15] Bandos I A, Zheltukhin A A. Null Super P-Branes Quantum Theory in 4-Dimensional Space-Time. Fortschr Phys, 1993, 41(7): 619–676

[16] Kar S. Schild´s null strings in flat and curved backgrounds. Physical Review D, 1996, 53(12): 6842–6846

SPHERICAL SYMMETRIC SOLUTIONS FOR THE MOTION OF RELATIVISTIC MEMBRANES AND NULL MEMBRANES IN THE REISSNER-NORDSTRÖM SPACE-TIME

SPHERICAL SYMMETRIC SOLUTIONS FOR THE MOTION OF RELATIVISTIC MEMBRANES AND NULL MEMBRANES IN THE REISSNER-NORDSTRÖM SPACE-TIME

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 7

Metrics

本文评价

推荐阅读 0

[1]	杜锋, 吴传喜, 李光汉, 夏昌玉. UNIVERSAL INEQUALITIES FOR A HORIZONTAL LAPLACIAN VERSION OF THE CLAMPED PLATE PROBLEM ON CARNOT GROUP[J]. 数学物理学报(英文版), 2017, 37(5): 1536-1544.
[2]	张再云, 黄建华, 孙明保. ALMOST CONSERVATION LAWS AND GLOBAL ROUGH SOLUTIONS OF THE DEFOCUSING NONLINEAR WAVE EQUATION ON R²[J]. 数学物理学报(英文版), 2017, 37(2): 385-394.
[3]	郭红霞, 陈国旺. A NOTE ON “THE CAUCHY PROBLEM FOR COUPLED IMBQ EQUATIONS”[J]. 数学物理学报(英文版), 2013, 33(2): 375-392.
[4]	肖金秀, 钟同德, 邱春晖. BOCHNER TECHNIQUE ON STRONG KÄHLER-FINSLER MANIFOLDS[J]. 数学物理学报(英文版), 2010, 30(1): 89-106.
[5]	袁明生. SPHERICAL NONLINEAR PULSES FOR THE SOLUTIONS OF NONLINEAR WAVE EQUATIONS II, NONLINEAR CAUSTIC[J]. 数学物理学报(英文版), 2007, 27(2): 381-394.
[6]	杨晗, 刘法贵. REMARKS ON THE LIFESPAN FOR THE SOLUTION TO NONLINEAR WAVE EQUATIONS IN THREE SPACE DIMENSIONS[J]. 数学物理学报(英文版), 2003, 23(1): 16-22.
[7]	戴正德, 郭柏灵, 陈凤新. GLOBAL ATTRACTOR OF A CLASS OF STRONGLY DAMPED NONLINEAR WAVE EQUATIONS[J]. 数学物理学报(英文版), 1998, 18(4): 404-412.