Global structure of black holes via the dynamical system

Apratim Ganguly; Radouane Gannouji; Rituparno Goswami; Subharthi Ray

doi:10.1088/0264-9381/32/10/105006

Global structure of black holes via the dynamical system

Apratim Ganguly, Radouane Gannouji, Rituparno Goswami, Subharthi Ray

INSTITUTE OF PHYSICS

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

5 Scopus citations

Abstract

We have recast the system of Einstein field equations for locally rotationally symmetric spacetimes into an autonomous system of covariantly defined geometrical variables. The analysis of this autonomous system gives all the important global features of the maximal extension of these spacetimes. We have concluded that the dynamical system analysis can be a powerful mathematical tool for qualitative understanding of the global structure of spacetimes covariantly, without actually solving the field equations.

Original language	English
Article number	105006
Journal	Classical and Quantum Gravity
Volume	32
Issue number	10
DOIs	https://doi.org/10.1088/0264-9381/32/10/105006
State	Published - 21 May 2015

Keywords

black holes
dynamical system
gravity

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10.1088/0264-9381/32/10/105006

Cite this

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abstract = "We have recast the system of Einstein field equations for locally rotationally symmetric spacetimes into an autonomous system of covariantly defined geometrical variables. The analysis of this autonomous system gives all the important global features of the maximal extension of these spacetimes. We have concluded that the dynamical system analysis can be a powerful mathematical tool for qualitative understanding of the global structure of spacetimes covariantly, without actually solving the field equations.",

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Global structure of black holes via the dynamical system

Abstract

Keywords

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