Magnetically Charged Black Holes with Hair

Erick J. Weinberg

RECORD

Magnetically Charged Black Holes with Hair

Erick J. Weinberg

General Relativity and Quantum Cosmology · Submitted 17 Mar 1995

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim These thus provide the first example of time-independent black hole solutions that have no rotational symmetry.

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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,172 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.88 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.48 · compares with prior results 0.69 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

In these lectures the properties of magnetically charged black holes are described. In addition to the standard Reissner-N\"ordstrom solution, there are new types of static black holes that arise in theories containing electrically charged massive vector mesons. These latter solutions have nontrivial matter fields outside the horizon; i.e., they are black holes with hair. While the solutions carrying unit magnetic charge are spherically symmetric, those with more than two units of magnetic charge are not even axially symmetric. These thus provide the first example of time-independent black hole solutions that have no rotational symmetry.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In these lectures the properties of magnetically charged black holes are described.	background 0.73	0.33	0.05	asserted 0.95
s1	In addition to the standard Reissner-N\"ordstrom solution, there are new types of static black holes that arise in theories containing electrically charged massive vector mesons.	result 0.50	0.43	0.17	asserted 1.00
s2	These latter solutions have nontrivial matter fields outside the horizon; i.e., they are black holes with hair.	interpretation 0.50	0.42	0.22	asserted 1.00
s3	While the solutions carrying unit magnetic charge are spherically symmetric, those with more than two units of magnetic charge are not even axially symmetric.	result 1.00	0.66	0.20	asserted 1.00
s4	These thus provide the first example of time-independent black hole solutions that have no rotational symmetry.	interpretation 0.62	0.72	0.47	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.73 · evidence from proof or derivation 0.88.

What was examined, and what was not

sources read

arXiv listing abstract v1

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

In these lectures the properties of magnetically charged black holes are described. In addition to the standard Reissner-N\"ordstrom solution, there are new types of static black holes that arise in theories containing electrically charged massive vector mesons. These latter solutions have nontrivial matter fields outside the horizon; i.e., they are black holes with hair. While the solutions carrying unit magnetic charge are spherically symmetric, those with more than two units of magnetic charge are not even axially symmetric. These thus provide the first example of time-independent black hole solutions that have no rotational symmetry.

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References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Black Hole's Quantum N-Portrait
hep-th 2011-12 conditional novelty 6.0 of 10

A black hole is modeled as a Bose-Einstein condensate of N soft gravitons with coupling 1/N, and its Hawking temperature and Bekenstein entropy are argued to emerge from quantum depletion and state counting.
Quasilocal Thermodynamics of Dilaton Gravity coupled to Gauge Fields
gr-qc 1995-05 accept novelty 5.0 of 10

For dilaton gravity coupled to gauge fields in a finite region, the black hole entropy is 4 pi times the integral of the curvature coupling over the horizon two-surface, and a finite-system first law of thermodynamics...

How the literature uses it

4 arXiv papers cite this in 6 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 2 sentences without a confident label

Cites it as support 1 paper

Existence of a black hole event horizon can make the energy of the total system finite [ref] .

Hairy Magnetic and Dyonic Black Holes in the Standard Model · Lagrangian and equations of motion · 0.96

Cites it as background 2 papers

For the magnetic black holes, existing papers have mainly studied the $SU(2)$-gauge theory case [ref] .

Hairy Magnetic and Dyonic Black Holes in the Standard Model · Masses and profiles · 0.91
The quantum picture described above explains all the well-known geometric properties of magnetically charged black holes (see [ref] ) in simple quantum-mechanical terms.

Black Hole's Quantum N-Portrait · Soliton/Black Hole Correspondence · 0.80

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