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arXiv · 2302.00016

Two Schwarzschild-like black holes balanced by their scalar hair

Carlos A. R. Herdeiro·Eugen Radu
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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.

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Carlos A. R. Herdeiro, Eugen Radu. 2023-01-31. Two Schwarzschild-like black holes balanced by their scalar hair. https://doi.org/10.1103/physrevd.107.064044

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