Abstract
We report on a two-parameter family of exact asymptotically flat stationary solutions to Einstein-Maxwell theory. These solutions are free from ring singularities in a specific parameter range. They represent systems of two non-rotating extreme black holes with opposite magnetic and NUT charges, connected by a tensionless Dirac-Misner string. For a given ADM mass of the system, the distance between the two black holes has a lower bound. We also discuss the limit in which the two constituent black holes are far apart.
Highlights
Complementary to the intense ongoing activity in the observation of binary black hole mergers, analytical investigations of stationary double black hole systems can help to understand the physics of slowly evolving double black hole systems
While they are surrounded by a region containing closed timelike curves (CTCs), we have argued that these do not necessarily lead to observable violations of causality [5, 6]
In a recent paper [7], we have investigated a class of four-parameter stationary asymptotically flat solutions to the Einstein-Maxwell equations previously constructed in [8], and shown that these represent non-linear superpositions of two rotating extreme black holes, their separation being intrincately related to the four black hole charges
Summary
Complementary to the intense ongoing activity in the observation of binary black hole mergers, analytical investigations of stationary double black hole systems can help to understand the physics of slowly evolving double black hole systems. Stationary asymptotically flat Israel-Wilson-Perjes (IWP) [2] superpositions of two extreme Reissner-Nordstrom-NUT black holes [3], with equal masses and electric charges, and opposite NUT (gravimagnetic) and magnetic charges, are strutless These are usually considered to be unphysical because of the presence of a metrical line singularity (Misner string) connecting the two NUT sources [4]. We have shown elsewhere [5] that, contrary to cosmic strings, Misner strings are transparent to geodesic motion While they are surrounded by a region containing closed timelike curves (CTCs), we have argued that these do not necessarily lead to observable violations of causality [5, 6].
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