GEOMETRY OF DEFORMATIONS OF RELATIVISTIC MEMBRANES

被引:100
作者
CAPOVILLA, R [1 ]
GUVEN, J [1 ]
机构
[1] UNIV NACL AUTONOMA MEXICO,INST CIENCIAS NUCL,MEXICO CITY 04510,DF,MEXICO
来源
PHYSICAL REVIEW D | 1995年 / 51卷 / 12期
关键词
D O I
10.1103/PhysRevD.51.6736
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A kinematical description of infinitesimal deformations of the world sheet spanned in spacetime by a relativistic membrane is presented. This provides a framework for obtaining both the classical equations of motion and the equations describing infinitesimal deformations about solutions of these equations when the action describing the dynamics of this membrane is constructed using any local geometrical world sheet scalars. As examples, we consider a Nambu membrane, and an action quadratic in the extrinsic curvature of the world sheet. © 1995 The American Physical Society.
引用
收藏
页码:6736 / 6743
页数:8
相关论文
共 26 条
[1]  
Vilenkin A., Phys. Rep., 121, (1985)
[2]  
Garriga J., Vilenkin A., Phys. Rev. D, 44, (1991)
[3]  
Garriga J., Vilenkin A., Phys. Rev. D, 45, (1992)
[4]  
Garriga J., Vilenkin A., Phys. Rev. D, 47, (1993)
[5]  
Guven J., Phys. Rev. D, 48, (1993)
[6]  
Guven J., Phys. Rev. D, 48, (1993)
[7]  
Proceedings of SILARG VIII, (1994)
[8]  
Larsen A.L., Frolov V.P., Nucl. Phys., 414 B, (1994)
[9]  
Carter B., Phys. Rev. D, 48, (1993)
[10]  
Lawson H.B., Lectures on Minimal Submanifolds, 2nd ed., (1980)