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Ricci-flat Seeds, Trombone Rescaling and Magnetizing Kerr Black Holes
Abstract
We present a new family of Ricci-flat rotating metrics, which we refer to as Solution II, obtained by demagnetizing the genuine Kerr-Bertotti-Robinson (G-KBR) black hole. Together with Solution I, which was previously obtained by demagnetizing the Kerr-Bertotti-Robinson (KBR) black hole, this gives two families of Ricci-flat deformations of the Kerr black hole, each labeled by B. We study the global structures, thermodynamics, various limits, and the local connections among these limits. We also study the remagnetizations in both Einstein-Maxwell and Kaluza-Klein theories, and find that, to yield a physically acceptable solution, the Ernst transformation should be augmented by an appropriate trombone rescaling.
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BibTeX
@misc{ma2026ricciflat,
title = {{Ricci-flat Seeds, Trombone Rescaling and Magnetizing Kerr Black Holes}},
author = {Liang Ma and H. Lu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.30256},
eprint = {2610.30256},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.30256},
}
RIS
TY - UNPB
TI - Ricci-flat Seeds, Trombone Rescaling and Magnetizing Kerr Black Holes
AU - Liang Ma
AU - H. Lu
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.30256
UR - https://arxiv.org/abs/2610.30256
AB - We present a new family of Ricci-flat rotating metrics, which we refer to as Solution II, obtained by demagnetizing the genuine Kerr-Bertotti-Robinson (G-KBR) black hole. Together with Solution I, which was previously obtained by demagnetizing the Kerr-Bertotti-Robinson (KBR) black hole, this gives two families of Ricci-flat deformations of the Kerr black hole, each labeled by B. We study the global structures, thermodynamics, various limits, and the local connections among these limits. We also study the remagnetizations in both Einstein-Maxwell and Kaluza-Klein theories, and find that, to yield a physically acceptable solution, the Ernst transformation should be augmented by an appropriate trombone rescaling.
ER -