Black holes cannot support conformal scalar hair

DOI10.1063/1.531201zbMath0855.53062arXivgr-qc/9409030OpenAlexW3102767687MaRDI QIDQ4873418

Thomas Zannias

Publication date: 16 April 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9409030

zbMATH Keywords

conformal scalar fieldnonextremalstatic asymptotically flat black holevanishing exterior scalar field

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05)

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Cites Work

• The static gravitational field near spatial infinity. I
• On the proof of the positive mass conjecture in general relativity
• Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time
• The uniqueness of the Bekenstein black hole
• Spherically symmetric static SU(2) Einstein–Yang–Mills fields
• A new uniqueness theorem for charged black holes
• Extensions of spacetimes with Killing horizons