N-Black Hole Stationary and Axially Symmetric Solutions of the Einstein-Maxwell Equations

Details N-Black Hole Stationary and Axially Symmetric Solutions of the Einstein-Maxwell Equations N-Black Hole Stationary and Axially Symmetric Solutions of the Einstein-Maxwell Equations

1994-12-12

arxiv.org/abs/gr-qc/9412036v2

Communications in Partial Differential Equations, Volume 21, Issue 9 & 10 1996 , pages 1389 - 1430

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, AMS-LaTeX (LaTeX2e), no figures

Scientific paper

10.1080/03605309608821232

The Einstein/Maxwell equations reduce in the stationary and axially symmetric case to a harmonic map with prescribed singularities phi: R^3\Sigma -> H^2_C, where Sigma is a subset of the axis of symmetry, and H^2_C is the complex hyperbolic plane. Motivated by this problem, we prove the existence and uniqueness of harmonic maps with prescribed singularities phi: R^n\Sigma -> H, where Sigma is a submanifold of R^n of co-dimension at least 2, and H is a classical Riemannian globally symmetric space of noncompact type and rank one. This result, when applied to the black hole problem, yields solutions which can be interpreted as equilibrium configurations of multiple co-axially rotating charged black holes held apart by singular struts.

Affiliated with

Also associated with

No associations

Rating

N-Black Hole Stationary and Axially Symmetric Solutions of the Einstein-Maxwell Equations 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 N-Black Hole Stationary and Axially Symmetric Solutions of the Einstein-Maxwell Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and N-Black Hole Stationary and Axially Symmetric Solutions of the Einstein-Maxwell Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-629859