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Plebanśki-Demiański à la Ehlers-Harrison: Exact Rotating and Accelerating Type I Black Holes
by José Barrientos, Adolfo Cisterna, Konstantinos Pallikaris
Submission summary
| Authors (as registered SciPost users): | Adolfo Cisterna |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2309.13656v2 (pdf) |
| Date submitted: | 2024-01-25 16:22 |
| Submitted by: | Cisterna, Adolfo |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Recently, it was shown that type D black holes, encompassed in the large Plebanśki--Demiański (PD) family, exhibit a wide class of algebraically general generalizations via the application of Ehlers and Harrison transformations. In this work, we first discuss some mathematical details behind the composition of such transformations, and next, we introduce a qualitative picture of the most general type I generalization of the PD family, dubbed "Enhanced Plebanśki--Demiański" spacetime. We provide the exact form of the solution in the original PD coordinates, obtained via the simultaneous action of an Ehlers and a Harrison transformation on the vacuum PD geometry. In order to make the physics more transparent, we explicitly construct a rotating and accelerating black hole which further has NUT parameter and electric charges, both of them entering, not only the event horizon, but the Rindler horizon as well. This solution is directly obtained in the "physical" coordinates recently proposed by Podolský and Vrátny. Finally, a pedagogical appendix is thoughtfully included, providing readers with a user-friendly step-by-step guide to the Ernst formalism, in an attempt to address and resolve various minor inconsistencies frequently appearing in the relevant literature.
Current status:
Reports on this Submission
Strengths
Well written description of some aspects of generalized Plebanski-Demianski class of spacetimes.
Weaknesses
There are multiple recent works by other authors on the same topics. In my view, in this manuscript, it is not sufficiently clearly indicated, what is the original contribution of the authors and what is review of other works.
Report
This paper discusses Petrov type I generalizations of the well-known type D Plebanski-Demianski class of vacuum and electrovacuum exact solutions of Einstein equations containing, e.g., Kerr black holes and uniformly accelerated black holes (C-metric). The generalizations are obtained via Ehlers or Harrison transformations or their combinations.
The paper presents an interesting discussion of the recent results in this field; however, it is not clear to me what results are really new here. In fact, it seems to me that most of the results discussed here were already published either in the previous works by Astorino et al. (e.g. Ref [20], M. Astorino (2023), 2307.10534 and his older works), in the thesis by Boldi https://inspirehep.net/literature/2652409, thesis by A. Vigano, https://arxiv.org/abs/2211.00436, and in the paper by present authors (Ref [13], J. Barrientos and A. Cisterna, Phys. Rev. D 108, 024059 (2023), 2305.03765).
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Recommendation
Reject