Revisiting Buchdahl transformations: new static and rotating black holes in vacuum, double copy, and hairy extensions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00599956" target="_blank" >RIV/67985840:_____/24:00599956 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/24:10494490
Result on the web
<a href="https://doi.org/10.1140/epjc/s10052-024-13383-4" target="_blank" >https://doi.org/10.1140/epjc/s10052-024-13383-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epjc/s10052-024-13383-4" target="_blank" >10.1140/epjc/s10052-024-13383-4</a>

Result language
angličtina
Original language name
Revisiting Buchdahl transformations: new static and rotating black holes in vacuum, double copy, and hairy extensions
Original language description
This paper investigates Buchdahl transformations within the framework of Einstein and Einstein-Scalar theories. Specifically, we establish that the recently proposed Schwarzschild–Levi-Civita spacetime can be obtained by means of a Buchdahl transformation of the Schwarschild metric along the spacelike Killing vector. The study extends Buchdahl’s original theorem by combining it with the Kerr–Schild representation. In doing so, we construct new vacuum-rotating black holes in higher dimensions which can be viewed as the Levi-Civita extensions of the Myers–Perry geometries. Furthermore, it demonstrates that the double copy scheme within these new generated geometries still holds, providing an example of an algebraically general double copy framework. In the context of the Einstein-Scalar system, the paper extends the corresponding Buchdahl theorem to scenarios where a static vacuum seed configuration, transformed with respect to a spacelike Killing vector, generates a hairy black hole spacetime. We analyze the geometrical features of these spacetimes and investigate how a change of frame, via conformal transformations, leads to a new family of black hole spacetimes within the Einstein-Conformal-Scalar system.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10303 - Particles and field physics

Project
<a href="/en/project/GA22-14791S" target="_blank" >GA22-14791S: Black hole spacetimes in a general dimension, their properties and interpretation</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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