On the interactions and equilibrium between Einstein-Maxwell-dilaton black holes
Ulrich K. Beckering Vinckers, Tomás Ortín
SciPost Phys. Core 8, 044 (2025) · published 17 June 2025
- doi: 10.21468/SciPostPhysCore.8.2.044
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Abstract
We study the interactions and the conditions for the equilibrium of forces between generic non-rotating black holes of the Einstein–Maxwell–dilaton (EMD) theory. We study known (and some new) solutions of the time-symmetric initial-data problem describing an arbitrary number of those black holes, some of them with primary scalar hair. We show how one can distinguish between initial data corresponding to dynamical situations in which the black holes (one or many) are not in equilibrium and initial data which are just constant-time slices of a static solution of the full equations of motion describing static black holes using (self-)interaction energies. For a single black hole, non-vanishing self-interaction energy is always related to primary scalar hair and to a dynamical black hole. Removing the self-interaction energies in multi-center solutions we get interaction energies related to the attractive and repulsive forces acting on the black holes. As shown by Brill and Lindquist, for widely separated black holes, these take the standard Newtonian and Coulombian forms plus an additional interaction term associated with the scalar charges which is attractive for like charges.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Ulrich K. Beckering Vinckers,
- 3 Tomás Ortín
- 1 Rijksuniversiteit Groningen / University of Groningen [UG]
- 2 University of Cape Town [UCT]
- 3 Instituto de Física Teórica / Institute for Theoretical Physics [IFT]
- Agencia Estatal de Investigación
- Erasmus+
- Ministerio de Ciencia e Innovación (through Organization: Ministerio de Ciencia, Innovación y Universidades / Ministry of Science, Innovation and Universities)
- National Research Foundation
- Rijksuniversiteit Groningen / University of Groningen [UG]
- University of Capetown