Static Black Hole Solutions without Rotational Symmetry

Details Static Black Hole Solutions without Rotational Symmetry Static Black Hole Solutions without Rotational Symmetry

1995-03-22

arxiv.org/abs/gr-qc/9503035v1

Phys.Rev.D52:3440-3456,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

42 pages, phyzzx. 4 figures (PostScript, 1.7 MB when uncompressed) available by email from the Authors on request

Scientific paper

10.1103/PhysRevD.52.3440

We construct static black hole solutions that have no rotational symmetry. These arise in theories, including the standard electroweak model, that include charged vector mesons with mass $m\ne 0$. In such theories, a magnetically charged Reissner-Nordstrom black hole with horizon radius less than a critical value of the order of $m^{-1}$ is classically unstable against the development of a nonzero vector meson field just outside the horizon, indicating the existence of static black hole solutions with vector meson hair. For the case of unit magnetic charge, spherically symmetric solutions of this type have previously been studied. For other values of the magnetic charge, general arguments show that any new solution with hair cannot be spherically symmetric. In this paper we develop and apply a perturbative scheme (which may have applicability in other contexts) for constructing such solutions in the case where the Reissner-Nordstrom solution is just barely unstable. For a few low values of the magnetic charge the black holes retain a rotational symmetry about a single axis, but this axial symmetry disappears for higher charges. While the vector meson fields vanish exponentially fast at distances greater than $O(m^{-1})$, the magnetic field and the metric have higher multipole components that decrease only as powers of the distance from the black hole.

Affiliated with

Also associated with

No associations

Rating

Static Black Hole Solutions without Rotational Symmetry 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 Static Black Hole Solutions without Rotational Symmetry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Static Black Hole Solutions without Rotational Symmetry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-49911