https://doi.org/10.1140/epjp/s13360-022-03526-5
Regular Article
Lie symmetries of static spherically symmetric spacetimes by Rif tree approach
1
Department of Mathematics, University of Peshawar, Peshawar, Pakistan
2
Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, 31261, Dhahran, Saudi Arabia
Received:
25
April
2022
Accepted:
22
November
2022
Published online:
7
December
2022
In this paper, we classify Lie symmetries of static spherically symmetric spacetimes using Rif tree approach. Instead of using direct integration techniques, we analyze the Lie symmetry equations through an algorithm developed in Maple and find all possible spherically symmetric static metrics admitting Lie symmetries. For all the obtained metrics, we provide their corresponding Lie symmetries, given by Killing, homothetic and conformal vector fields. It is found that this approach produces all the previously obtained metrics by direct integration techniques, in addition to some new physically realistic metrics.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
