@article{(Open Science Index):https://publications.waset.org/pdf/14108,
	  title     = {On Symmetries and Exact Solutions of Einstein Vacuum Equations for Axially Symmetric Gravitational Fields},
	  author    = {Nisha Goyal and  R.K. Gupta},
	  country	= {},
	  institution	= {},
	  abstract     = {Einstein vacuum equations, that is a system of nonlinear
partial differential equations (PDEs) are derived from Weyl metric
by using relation between Einstein tensor and metric tensor. The
symmetries of Einstein vacuum equations for static axisymmetric
gravitational fields are obtained using the Lie classical method. We
have examined the optimal system of vector fields which is further
used to reduce nonlinear PDE to nonlinear ordinary differential
equation (ODE). Some exact solutions of Einstein vacuum equations
in general relativity are also obtained.},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {6},
	  number    = {8},
	  year      = {2012},
	  pages     = {838 - 841},
	  ee        = {https://publications.waset.org/pdf/14108},
	  url   	= {https://publications.waset.org/vol/68},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 68, 2012},
	}