This article is cited in 34 papers

Complete classification of spherically symmetric static space–times via Noether symmetries

F. Ali^a, T. Feroze^a, S. Ali<sup>b

a</sup> School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan
^b School of Electrical Engineering and Computer Science, National University of Sciences and Technology, Islamabad, Pakistan

Abstract: We provide a complete classification of spherically symmetric static space–times by their Noether symmetries. We obtain the determining equations for the Noether symmetries using the usual Lagrangian of a general spherically symmetric static space–time and integrate them in each considered case. In particular, we find that spherically symmetric static space–times are categorized into six distinct classes corresponding to the Noether algebras of dimensions $5$, $6$, $7$, $9$, $11$, and $17$. Using Noether`s theorem, we also find the first integrals corresponding to each symmetry. Moreover, we obtain some new spherically symmetric static solutions.

Keywords: Noether symmetry, static space–time.

MSC: PACS 11.30.-j-Symmetries and conservation laws, 04.20.-q-Classical general Relativity

Received: 15.12.2014
Revised: 28.01.2015

DOI: 10.4213/tmf8846

 English version: Theoretical and Mathematical Physics, 2015, 184:1, 973–985

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