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On new symmetries and exact solutions of Einstein’s field equation for perfect fluid distribution
R K GUPTA RADHIKA JAIN SACHIN KUMAR DIVYA JYOTI
Research Article Volume 95 Published: 27 July 2021 Article ID 0123
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https://www.ias.ac.in/article/fulltext/pram/095/0123 -
Keywords
Einstein’s field equations ;Lie symmetries ;perfect fluid ;exact solutions -
Abstract
Some new infinite-dimensional generalised Lie symmetries of Einstein’s field equations for perfect fluid distribution are found by using the Lie symmetry analysis. The reduced ordinary differential equations are solved to obtain new non-trivial exact solutions. The software MAPLE is used for computation and MAPLE code is given to facilitate the research in this field.
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Author Affiliations
R K GUPTA1 RADHIKA JAIN2 SACHIN KUMAR2 DIVYA JYOTI2
- Department of Mathematics, Central University of Haryana, Mahendragarh 123 031, India
- Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151 001, India
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Dates
- Published
- 27 July 2021
- Manuscript received
- 1 March 2020
- Manuscript revised
- 18 March 2021
- Accepted
- 5 April 2021
- Final version published online
- 27 July 2021
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Pramana – Journal of Physics
Volume 97, 2023
All articles
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