Two Schwarzschild-like black holes balanced by their scalar hair
Abstract
We show that, unlike vacuum General Relativity, Einstein-scalar theories allow balanced static, neutral, asymptotically flat, double-black hole solutions, for scalar field models minimally coupled to gravity, with appropriate self-interactions. These are scalar hairy versions of the double-Schwarzschild (or Bach-Weyl) solution, but regular on and outside the two (topologically spherical) horizons. The balancing repulsive force is provided by the scalar field. An explicit illustration is presented, using a Weyl-type construction adapted to numerical solutions, requiring no partial linearisation, or integrability structure, of the Einstein-scalar equations. Fixing the couplings of the model, the balanced configurationsform a one-parameter family of solutions, labelled by the proper distance between the black holes.
Keywords
Cite
@article{arxiv.2302.00016,
title = {Two Schwarzschild-like black holes balanced by their scalar hair},
author = {Carlos A. R. Herdeiro and Eugen Radu},
journal= {arXiv preprint arXiv:2302.00016},
year = {2023}
}
Comments
22 pages, 8 figures