A wormhole with two black holes

Abstract We report on a new three-parameter stationary solution of the fourdimensional vacuum Einstein equations, which describes a Lorentzian wormhole harboring two antipodal co-rotating black holes. These are hung from one of the two spacelike infinities by two semi-infinite cosmic strings with positive or negative tension. We evaluate the Komar masses and angular momenta of the two black holes, and check that these obey the usual Smarr relation, as well as the generalized first law for a system of collinear black holes and cosmic strings. While free from Misner strings, this spacetime allows closed timelike curves within a bounded volume. The metric also admits a naked ring singularity for almost all values of the parameters.

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Publication Details

Journal
Classical and Quantum Gravity
Published
2026-09-21
DOI
https://doi.org/10.1088/1361-6382/aeaabf
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
0.00
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article

A wormhole with two black holes

Gérard Clément
Classical and Quantum Gravity
Black Holes and Theoretical Physics
article

A wormhole with two black holes

Gérard Clément
article en

Abstract

Abstract We report on a new three-parameter stationary solution of the fourdimensional vacuum Einstein equations, which describes a Lorentzian wormhole harboring two antipodal co-rotating black holes. These are hung from one of the two spacelike infinities by two semi-infinite cosmic strings with positive or negative tension. We evaluate the Komar masses and angular momenta of the two black holes, and check that these obey the usual Smarr relation, as well as the generalized first law for a system of collinear black holes and cosmic strings. While free from Misner strings, this spacetime allows closed timelike curves within a bounded volume. The metric also admits a naked ring singularity for almost all values of the parameters.

Classical and Quantum Gravity
Laboratoire d'Annecy de Physique Théorique (FR)
Openalex Percentile: Top 32%
Black Holes and Theoretical Physics
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