Complete classification of spherically symmetric static spacetimes via Noether symmetries

Autor:	Ali, Farhad, Feroze, Tooba, Ali, Sajid
Rok vydání:	2013
Předmět:	Mathematical Physics General Relativity and Quantum Cosmology 53Z05
Zdroj:	Theoretical and Mathematical Physics, July 2015, Volume 184, Issue 1, pp 973-985
Druh dokumentu:	Working Paper
DOI:	10.1007/s11232-015-0310-2
Popis:	In this paper we give a complete classification of spherically symmetric static space-times by their Noether symmetries. The determining equations for Noether symmetries are obtained by using the usual Lagrangian of a general spherically symmetric static spacetime which are integrated for each case. In particular we observe that spherically symmetric static spacetimes are categorized into six distinct classes corresponding to Noether algebra of dimensions 5, 6, 7, 9, 11 and 17. Using Noether`s theorem we also write down the first integrals for each class of such spacetimes corresponding to their Noether symmetries. Some new spherically symmetric static solutions have also been obtained. Comment: 14 Pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1309.3861 Zobrazit plný text záznamu View this record from Arxiv