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On the interactions and equilibrium between Einstein-Maxwell-Dilaton black holes
by Ulrich K. Beckering Vinckers, Tomas Ortin
This is not the latest submitted version.
Submission summary
| Authors (as registered SciPost users): | Tomás Ortín |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2408.04621v1 (pdf) |
| Date submitted: | 2024-09-12 12:44 |
| Submitted by: | Ortín, Tomás |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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 escribing 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.
Current status:
Reports on this Submission
Strengths
1- the manuscript makes the important contributions of studying time dependent scalar hair, thus going beyond the usual assumption of stationarity.
2- the manuscript makes a connection between a phenomenological extension of Einstein-Maxwell theory and a mathematical description of two interacting black holes in terms of the Einstein-Rosen bridge.
Weaknesses
1- The manuscript does not make enough effort in separating the conceptual part and the mathematical part.
2- the mathematical sections are too heavy to be digested by a non-expert reader.
3- The subject appears technical and therefore it fits better in Sci-Post Physics.
Report
I have carefully read the submitted manuscript and I report my general comments below:
1. The manuscript stresses the very interesting connection between Einstein-Maxwell dilaton theory and the Einstein-Rosen bridge connecting two black-holes across separate universes. In particular, the authors claim that it could pave the way for constructing initial variables for numerical evolution. However, I find it obscure how these initial data could be physically viable, given that an Einstein-Rosen bridge is very speculative. I would expect that a physically viable scenario would be one in which the two black holes are in the same universe. Can the authors comment on this observation? Can they expand the introduction to describe numerical initial data and numerical evolutions obtained within this formalism (even if just in GR), and their connection to physical observables?
2- The numerical evolution of black-hole binaries within Einstein-Maxwell dilaton theories has been previously addressed in the following works: https://arxiv.org/abs/1706.09875, https://arxiv.org/abs/1711.10769, https://arxiv.org/abs/1809.05041. Even though these works use very different approaches than the one paved in this manuscript, I feel that they should be mentioned. I ask the authors to add a short paragraph to acknowledge these works.
Overall, I feel that the content of the manuscript is mostly technical and it does not fit well within the Scope of SciPost Physics Core. I suggest that the manuscript is transferred to SciPost Physics and that acceptance is subjected to addressing the previous comments.
Requested changes
See the changes requested in the report.
Recommendation
Ask for minor revision