Parametrization of singularities of the Demianski-Newman spacetimes

Parametrization of singularities of the Demianski-Newman spacetimes

Colistete Jr., R.; Gariel, J.; Marcilhacy, G.; Santos, N. O.

Artigo Completo:

We propose a new presentation of the Demianski-Newman solution of the axisymmetric Einstein equations. We introduce new dimensionless parameters p, q and s, but keeping the Boyer-Lindquist coordinate transformation used for the Kerr metric in the Ernst method. The family of Demia´nski-Newman metrics is studied and it is shown that the main role of s is to determine the singularities, which we obtain by calculating the Riemann tensor components and the invariants of curvature. So, s reveals itself as the parameter of the singular rings on the inner ergosphere.

We propose a new presentation of the Demianski-Newman solution of the axisymmetric Einstein equations. We introduce new dimensionless parameters p, q and s, but keeping the Boyer-Lindquist coordinate transformation used for the Kerr metric in the Ernst method. The family of Demia´nski-Newman metrics is studied and it is shown that the main role of s is to determine the singularities, which we obtain by calculating the Riemann tensor components and the invariants of curvature. So, s reveals itself as the parameter of the singular rings on the inner ergosphere.

Palavras-chave:

DOI: 10.5151/phypro-viii-efa-35

Referências bibliográficas

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• [9] Gariel, J.; Marcilhacy, G.; Santos, N. O. Gen. Rel. Grav. v. 36, p. 2175, 2004.
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Como citar:

Colistete Jr., R.; Gariel, J.; Marcilhacy, G.; Santos, N. O.; "Parametrization of singularities of the Demianski-Newman spacetimes", p-158-164. In: . São Paulo: Blucher, 2017.
ISSN 23582359, DOI 10.5151/phypro-viii-efa-35