Classification of cylindrically symmetric static Lorentzian manifolds according to their Petrov types and metrics

Muhammad Ziad

doi:10.1142/9789813226609_0310

Classification of cylindrically symmetric static Lorentzian manifolds according to their Petrov types and metrics

Muhammad Ziad^*

^*Corresponding author for this work

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The cylindrically symmetric static manifolds are classified for their Petrov types and metrics. This classification besides verifying the earlier result that such manifolds cannot be of petrov type II, III and N, gives a complete list of all static cylindrically symmetric metrics of Petrov type O. In the case of Petrov type D metrics, the results appear as three independent classes metrics.

Original language	English
Title of host publication	14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings
Editors	Massimo Bianchi, Robert T Jantzen, Remo Ruffini, Remo Ruffini
Publisher	World Scientific Publishing Co. Pte Ltd
Pages	2582-2587
Number of pages	6
ISBN (Electronic)	9789813226593
DOIs	https://doi.org/10.1142/9789813226609_0310
Publication status	Published - 2018
Event	14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Rome, Italy Duration: Jul 12 2015 → Jul 18 2015

Publication series

Name	14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings

Other

Other	14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
Country/Territory	Italy
City	Rome
Period	7/12/15 → 7/18/15

Keywords

Metrics
Petrov classification
Static cylindrical symmetry

ASJC Scopus subject areas

Nuclear and High Energy Physics
Astronomy and Astrophysics

Access to Document

10.1142/9789813226609_0310

Cite this

Ziad, M. (2018). Classification of cylindrically symmetric static Lorentzian manifolds according to their Petrov types and metrics. In M. Bianchi, R. T. Jantzen, R. Ruffini, & R. Ruffini (Eds.), 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings (pp. 2582-2587). (14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings). World Scientific Publishing Co. Pte Ltd. https://doi.org/10.1142/9789813226609_0310

Classification of cylindrically symmetric static Lorentzian manifolds according to their Petrov types and metrics. / Ziad, Muhammad.
14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings. ed. / Massimo Bianchi; Robert T Jantzen; Remo Ruffini; Remo Ruffini. World Scientific Publishing Co. Pte Ltd, 2018. p. 2582-2587 (14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Ziad, M 2018, Classification of cylindrically symmetric static Lorentzian manifolds according to their Petrov types and metrics. in M Bianchi, RT Jantzen, R Ruffini & R Ruffini (eds), 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings. 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings, World Scientific Publishing Co. Pte Ltd, pp. 2582-2587, 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Rome, Italy, 7/12/15. https://doi.org/10.1142/9789813226609_0310

Ziad M. Classification of cylindrically symmetric static Lorentzian manifolds according to their Petrov types and metrics. In Bianchi M, Jantzen RT, Ruffini R, Ruffini R, editors, 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings. World Scientific Publishing Co. Pte Ltd. 2018. p. 2582-2587. (14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings). doi: 10.1142/9789813226609_0310

Ziad, Muhammad. / Classification of cylindrically symmetric static Lorentzian manifolds according to their Petrov types and metrics. 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings. editor / Massimo Bianchi ; Robert T Jantzen ; Remo Ruffini ; Remo Ruffini. World Scientific Publishing Co. Pte Ltd, 2018. pp. 2582-2587 (14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings).

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Classification of cylindrically symmetric static Lorentzian manifolds according to their Petrov types and metrics

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