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Demagnetizing KBR and New Ricci-flat Rotating Metric
Abstract
We construct a new Ricci-flat metric by demagnetizing the recently reported Kerr-Bertotti-Robinson (KBR) solution. The metric is a deformation of the Kerr metric characterized by a parameter B, so that the asymptotic Kerr becomes a regular dome of spindle shape with north and south poles. Despite lacking an asymptotically-flat region, we find that the first law of black hole thermodynamics can be established. Some thermodynamic relations are identical to those of the Kerr black hole, as if the constant B is absent. Our Ricci-flat rotating metric serves a neutral seed for a variety of inequivalent schemes of magnetizing the Schwarzschild and Kerr black holes.
Related
BibTeX
@misc{ma2026demagnetizing,
title = {{Demagnetizing KBR and New Ricci-flat Rotating Metric}},
author = {Liang Ma and H. Lu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.13954},
eprint = {2605.13954},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.13954},
}
RIS
TY - UNPB
TI - Demagnetizing KBR and New Ricci-flat Rotating Metric
AU - Liang Ma
AU - H. Lu
PY - 2026
DA - 2026/10/17
PB - arXiv
DO - 10.48550/arxiv.2605.13954
UR - https://arxiv.org/abs/2605.13954
AB - We construct a new Ricci-flat metric by demagnetizing the recently reported Kerr-Bertotti-Robinson (KBR) solution. The metric is a deformation of the Kerr metric characterized by a parameter B, so that the asymptotic Kerr becomes a regular dome of spindle shape with north and south poles. Despite lacking an asymptotically-flat region, we find that the first law of black hole thermodynamics can be established. Some thermodynamic relations are identical to those of the Kerr black hole, as if the constant B is absent. Our Ricci-flat rotating metric serves a neutral seed for a variety of inequivalent schemes of magnetizing the Schwarzschild and Kerr black holes.
ER -