Skip to content
DraconiticResearch
Search Sources API
188,932 studies31 sourcesUpdated 32 min ago
PreprintarXiv licencearXiv

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

  1. Ricci-flat string algebroids
    Agnaldo A. da Silva Jr., Henrique N. Sá Earp, Bernardo S. Vieira
    arXivPreprintarXiv licenceFull textGeometry & topologyHigh-energy & particle physicsarXiv
  2. Ricci-flat Seeds, Trombone Rescaling and Magnetizing Kerr Black Holes
    Liang Ma, H. Lu
    arXivPreprintarXiv licenceFull textGravitation & general relativityHigh-energy & particle physicsarXiv
  3. Spherically-symmetric solutions with internal Ricci-flat spaces in Brans-Dicke theory
    K. K. Ernazarov
    arXivPreprintarXiv licenceFull textGravitation & general relativityarXiv
  4. Elementary-Symmetric Ricci Gravity: Metric Formulation
    Xingpao Suo, Dianxu Ma, Yuqiong Shan +1
    arXivPreprintarXiv licenceFull textCosmologyGravitation & general relativityarXiv
  5. Ricci-Non-metric Holographic Dark Energy
    Sukanta Bhunia, Prabir Rudra, Abhijit Lahiri
    arXivPreprintarXiv licenceFull textGravitation & general relativityarXiv
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  -