Extended quadrupole-kerr metric

  1. J. L. Hernández-Pastora 3
  2. O. V. Manko 2
  3. V. S. Manko 1
  4. J. Martin 1
  5. E. Ruiz 1
  1. 1 Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN
  2. 2 Department of Quantum Statistics and Field Theory, Lomonosov Moscow State University, Moscow
  3. 3 Área de Física Teórica, Universidad de Salamanca
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Journal:
Gravitation & Cosmology

ISSN: 0202-2893

Year of publication: 2001

Volume: 7

Issue: 4(28)

Pages: 276-280

Type: Article

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More publications in: Gravitation & Cosmology

Abstract

An exact axisymmetric solution of Einstein’s equations describing the exterior gravitational field of four alignedKerr particles is considered. The balance conditions are derived in the case of particles possessing an additionalreflection symmetry with respect to the equatorial plane. A numerical analysis of these conditions suggests thenon-existence of physically relevant equilibrium configurations in such systems