Setembro 2017 vol. 4 num. 1 - VIII Encontro Científico de Física Aplicada

Artigo Completo - Open Access.

Idioma principal

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.

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.

Palavras-chave: general relativity, classical black holes, singularities, exact solutions,

Palavras-chave: general relativity, classical black holes, singularities, exact solutions,

DOI: 10.5151/phypro-viii-efa-35

Referências bibliográficas
  • [1] Papapetrou, A. Ann. der Phys. v. 12, p. 309, 1953.
  • [2] Stephani, H., et al. Exact Solutions of Einstein’s Field Equations, 2nd edition, Cambridge University Press, Cambridge, 2003.
  • [3] Kerr, R. P. Phys. Rev. Letters v. 11, p. 237, 196
  • [4] Ernst, F. J. Phys. Rev. v. 167, p. 166, 1968.
  • [5] Carmeli, M. Classical Fields: General Relativity and Gauge Theory, John Wiley and Sons, New York, 1982.
  • [6] Gariel, J.; Marcilhacy, G.; Santos, N. O. Gen. Rel. Grav. v. 35, p. 1549, 2003.
  • [7] Demia´nski, M.; Newman, E. T.; Bull. Acad. Polon. Sci. Ser. Math. Astro. Phys. v. 14, p. 653, 1966.
  • [8] Lynden-Bell, D.; Nouri-Zonoz, M. Review of Modern Physics v. 70, p. 427, 199
  • [9] Gariel, J.; Marcilhacy, G.; Santos, N. O. Gen. Rel. Grav. v. 36, p. 2175, 2004.
  • [10] Chandrasekhar, S. The Mathematical Theory of Black Holes, Oxford University Press, Oxford, 1983.
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 2358-2359, DOI 10.5151/phypro-viii-efa-35

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