Binary black hole spacetimes with a helical Killing vector

Details Binary black hole spacetimes with a helical Killing vector Binary black hole spacetimes with a helical Killing vector

2004-10-19

arxiv.org/abs/gr-qc/0410095v2

Phys.Rev. D70 (2004) 124026

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

to be published in Phys. Rev. D, minor corrections

Scientific paper

10.1103/PhysRevD.70.124026

Binary black hole spacetimes with a helical Killing vector, which are discussed as an approximation for the early stage of a binary system, are studied in a projection formalism. In this setting the four dimensional Einstein equations are equivalent to a three dimensional gravitational theory with a $SL(2,\mathbb{C})/SO(1,1)$ sigma model as the material source. The sigma model is determined by a complex Ernst equation. 2+1 decompositions of the 3-metric are used to establish the field equations on the orbit space of the Killing vector. The two Killing horizons of spherical topology which characterize the black holes, the cylinder of light where the Killing vector changes from timelike to spacelike, and infinity are singular points of the equations. The horizon and the light cylinder are shown to be regular singularities, i.e. the metric functions can be expanded in a formal power series in the vicinity. The behavior of the metric at spatial infinity is studied in terms of formal series solutions to the linearized Einstein equations. It is shown that the spacetime is not asymptotically flat in the strong sense to have a smooth null infinity under the assumption that the metric tends asymptotically to the Minkowski metric. In this case the metric functions have an oscillatory behavior in the radial coordinate in a non-axisymmetric setting, the asymptotic multipoles are not defined. The asymptotic behavior of the Weyl tensor near infinity shows that there is no smooth null infinity.

Affiliated with

Also associated with

No associations

Rating

Binary black hole spacetimes with a helical Killing vector does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Binary black hole spacetimes with a helical Killing vector, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Binary black hole spacetimes with a helical Killing vector will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-536880