Rotating figures of equilibrium in General Relativity
T. Papakostas
TL;DR
This paper generalizes surfaces of revolution within General Relativity, applies this to Carter's solutions, and analyzes the Kerr metric under this new foliation framework.
Contribution
It introduces a new definition of rotating surfaces in General Relativity and applies it to analyze Kerr's metric with this approach.
Findings
New foliation of Kerr's metric analyzed
Application to Carter's family solutions demonstrated
Enhanced understanding of rotating surfaces in curved spacetime
Abstract
A generalization of the notion of surfaces of revolution in the spaces of General Relativity is presented. We apply this definition to the case of Carter's family [A] of solutions and we study the Kerr's metric with respect the above mentioned foliation.
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Taxonomy
TopicsMathematics and Applications · Relativity and Gravitational Theory · Cosmology and Gravitation Theories