Energy Content of Colliding Plane Waves Using Approximate Noether Symmetries
作者： Muhammad Sharif , Saira Waheed
DOI: 10.1007/S13538-012-0071-4
关键词: Conservation law 、 Noether's theorem 、 Homogeneous space 、 Plane (geometry) 、 Gravitational wave 、 Plane wave 、 Classical mechanics 、 Symmetry (physics) 、 Physics 、 Differential equation
摘要: We study the energy content of colliding plane waves using approximate Noether symmetries. For this purpose, we use Lie symmetry method for Lagrangians differential equations. formulate first-order perturbed Lagrangian electromagnetic and gravitational waves. In both cases, show that no nontrivial generator exists.
springer.com
harvard.edu
arxiv-vanity.com参考文章(44)
AH Kara, FM Mahomed, G Unal, Approximate Symmetries and Conservation Laws with Applications International Journal of Theoretical Physics. ,vol. 38, pp. 2389- 2399 ,(1999) , 10.1023/A:1026684004127
Chris Pritchard, The changing shape of geometry : celebrating a century of geometry and geometry teaching Cambridge University Press. ,(2003)
Hans Stephani, Differential Equations: Their Solution Using Symmetries ,(1990)
Bernard F. Schutz, Gravity from the ground up ,(2003)
Ibrar Hussain, Energy of the Kerr–Newman-AdS black hole by using approximate Lie symmetries General Relativity and Gravitation. ,vol. 43, pp. 1037- 1045 ,(2011) , 10.1007/S10714-010-0961-0
Joseph Weber, John A. Wheeler, Reality of the Cylindrical Gravitational Waves of Einstein and Rosen Reviews of Modern Physics. ,vol. 29, pp. 509- 515 ,(1957) , 10.1103/REVMODPHYS.29.509
P. Bell, P. Szekeres, INTERACTING ELECTROMAGNETIC SHOCK WAVES IN GENERAL RELATIVITY General Relativity and Gravitation. ,vol. 5, pp. 275- 286 ,(1974) , 10.1007/BF00770217
A. H. Bokhari, A. H. Kara, A. R. Kashif, F. D. Zaman, Noether Symmetries Versus Killing Vectors and Isometries of Spacetimes International Journal of Theoretical Physics. ,vol. 45, pp. 1029- 1039 ,(2006) , 10.1007/S10773-006-9096-1
A V Aminova, Projective transformations and symmetries of differential equation Sbornik Mathematics. ,vol. 186, pp. 1711- 1726 ,(1995) , 10.1070/SM1995V186N12ABEH000090
Asghar Qadir, M. Sharif, General formula for the momentum imparted to test particles in arbitrary spacetimes Physics Letters A. ,vol. 167, pp. 331- 334 ,(1992) , 10.1016/0375-9601(92)90267-P