Classification of Static Spherically Symmetric Spacetimes by Noether Symmetries

Ashfaque H. Bokhari; A. G. Johnpillai; A. H. Kara; F. M. Mahomed; F. D. Zaman

doi:10.1007/s10773-013-1656-6

Classification of Static Spherically Symmetric Spacetimes by Noether Symmetries

Ashfaque H. Bokhari
, A. G. Johnpillai
, A. H. Kara
, F. M. Mahomed
, F. D. Zaman

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

Noether symmetries of some of the well known spherically symmetric static solutions of the Einstein's field equations are classified. The resulting Noether symmetries in each case are compared with conservation laws given by Killing vectors and collineations of the Ricci and Riemann tensors for corresponding solutions.

Original language	English
Pages (from-to)	3534-3542
Number of pages	9
Journal	International Journal of Theoretical Physics
Volume	52
Issue number	10
DOIs	https://doi.org/10.1007/s10773-013-1656-6
State	Published - Oct 2013

Keywords

Conservation laws
Einstein's field equations
Killing vectors
Noether symmetries

ASJC Scopus subject areas

General Mathematics
Physics and Astronomy (miscellaneous)

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10.1007/s10773-013-1656-6

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title = "Classification of Static Spherically Symmetric Spacetimes by Noether Symmetries",

abstract = "Noether symmetries of some of the well known spherically symmetric static solutions of the Einstein's field equations are classified. The resulting Noether symmetries in each case are compared with conservation laws given by Killing vectors and collineations of the Ricci and Riemann tensors for corresponding solutions.",

keywords = "Conservation laws, Einstein's field equations, Killing vectors, Noether symmetries",

author = "Bokhari, \{Ashfaque H.\} and Johnpillai, \{A. G.\} and Kara, \{A. H.\} and Mahomed, \{F. M.\} and Zaman, \{F. D.\}",

year = "2013",

month = oct,

doi = "10.1007/s10773-013-1656-6",

language = "English",

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pages = "3534--3542",

journal = "International Journal of Theoretical Physics",

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T1 - Classification of Static Spherically Symmetric Spacetimes by Noether Symmetries

AU - Bokhari, Ashfaque H.

AU - Johnpillai, A. G.

AU - Kara, A. H.

AU - Mahomed, F. M.

AU - Zaman, F. D.

PY - 2013/10

Y1 - 2013/10

N2 - Noether symmetries of some of the well known spherically symmetric static solutions of the Einstein's field equations are classified. The resulting Noether symmetries in each case are compared with conservation laws given by Killing vectors and collineations of the Ricci and Riemann tensors for corresponding solutions.

AB - Noether symmetries of some of the well known spherically symmetric static solutions of the Einstein's field equations are classified. The resulting Noether symmetries in each case are compared with conservation laws given by Killing vectors and collineations of the Ricci and Riemann tensors for corresponding solutions.

KW - Conservation laws

KW - Einstein's field equations

KW - Killing vectors

KW - Noether symmetries

UR - https://www.scopus.com/pages/publications/84883807559

U2 - 10.1007/s10773-013-1656-6

DO - 10.1007/s10773-013-1656-6

M3 - Article

AN - SCOPUS:84883807559

SN - 0020-7748

VL - 52

SP - 3534

EP - 3542

JO - International Journal of Theoretical Physics

JF - International Journal of Theoretical Physics

IS - 10

ER -

Classification of Static Spherically Symmetric Spacetimes by Noether Symmetries

Abstract

Keywords

ASJC Scopus subject areas

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