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Revisiting Buchdahl transformations: new static and rotating black holes in vacuum, double copy, and hairy extensions
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SYSNO ASEP 0599956 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Revisiting Buchdahl transformations: new static and rotating black holes in vacuum, double copy, and hairy extensions Author(s) Barrientos, José (MU-W) SAI, ORCID, RID
Cisterna, A. (CL)
Hassaine, M. (CL)
Oliva, J. (CL)Article number 1011 Source Title European Physical Journal C. - : Springer - ISSN 1434-6044
Roč. 84, č. 10 (2024)Number of pages 16 s. Publication form Print - P Language eng - English Country DE - Germany Keywords black holes ; mathematical transformations ; black-hole spacetimes Subject RIV BA - General Mathematics OECD category Particles and field physics Method of publishing Open access Institutional support MU-W - RVO:67985840 UT WOS 001330673600010 EID SCOPUS 85206219473 DOI https://doi.org/10.1140/epjc/s10052-024-13383-4 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2025 Electronic address https://doi.org/10.1140/epjc/s10052-024-13383-4
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