https://doi.org/10.1140/epjp/s13360-020-00622-2
Regular Article
Exact solutions of Einstein field equations in perfect fluid distribution using Lie symmetry method
1
Department of Mathematics and Statistics, Central University of Punjab, Bathinda, Punjab, 151001, India
2
Department of Mathematics, Central University of Haryana, Mahendragarh, Haryana, India
* e-mail: sachin1jan@yahoo.com
Received:
21
April
2020
Accepted:
18
July
2020
Published online:
28
July
2020
The exact non-static accelerating solutions of Einstein field equations in perfect fluid distribution with nonzero shear in the texture gas dominated universe corresponding to an indefinite non-degenerate metric in cartesian coordinates are obtained in a gravitational field of Petrov type D. Lie symmetry method is used for reduction and finding trigonometric solutions. By following multiplier approach, the conservation laws are obtained. The graphical representations are also shown.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
