Class of Eistein-Maxwell Dilatons

Dario Nunez (ICN-UNAM); Maribel Rios (IFM-UMICH); Tonatiuh Matos (CINVESTAV)

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Class of Eistein-Maxwell Dilatons

Tonatiuh Matos (CINVESTAV), Dario Nunez (ICN-UNAM), Maribel Rios (IFM-UMICH)

General Relativity and Quantum Cosmology · Submitted 28 Aug 2000

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

The authors' main claim Most of the known solutions of charged and dilatonic black holes are contained as special cases and can be non-trivially generalized in different ways.

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arXiv IDgr-qc/0008068 (version 1)

Pith IDEYKQD7VD, Pith's permanent record of this paper and its review

CitationDario Nunez (ICN-UNAM), Maribel Rios (IFM-UMICH), Tonatiuh Matos (CINVESTAV). "Class of Eistein-Maxwell Dilatons." arXiv:gr-qc/0008068 (2000). https://pith.science/paper/EYKQD7VD

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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,328 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.77 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The functional potential formalism is used to analyze stationary axisymmetric spaces in the Einstein-Maxwell-Dilaton theory. Performing a Legendre transformation, a ``Hamiltonian''is obtained, which allows to rewrite the dynamical equations in terms of three complex functions only. Using an ansatz resembling the one used by the harmonic maps ansatz, we express these three functions in terms of the harmonic parameters, studying the cases where these parameters are real, and when they are complex. For each case, the set of equations in terms of these harmonic parameters is derived, and several classes of solutions to the Einstein-Maxwell with arbitrary coupling constant to a dilaton field are presented. Most of the known solutions of charged and dilatonic black holes are contained as special cases and can be non-trivially generalized in different ways.

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	The functional potential formalism is used to analyze stationary axisymmetric spaces in the Einstein-Maxwell-Dilaton theory.	method 0.79	0.75	0.05	asserted 1.00
s1	Performing a Legendre transformation, a ``Hamiltonian''is obtained, which allows to rewrite the dynamical equations in terms of three complex functions only.	method 0.98	0.91	0.06	asserted 1.00
s2	Using an ansatz resembling the one used by the harmonic maps ansatz, we express these three functions in terms of the harmonic parameters, studying the cases where these parameters are real, and when they are complex.	method 0.95	0.92	0.06	asserted 1.00
s3	For each case, the set of equations in terms of these harmonic parameters is derived, and several classes of solutions to the Einstein-Maxwell with arbitrary coupling constant to a dilaton field are presented.	result 0.65	0.93	0.38	asserted 1.00
s4	Most of the known solutions of charged and dilatonic black holes are contained as special cases and can be non-trivially generalized in different ways.	interpretation 0.50	0.71	0.52	asserted 0.94

What kind of paper the classifier reports this is: theoretical result 0.68 · evidence from proof or derivation 1.00.

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arXiv listing abstract v1

not examined

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

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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

The functional potential formalism is used to analyze stationary axisymmetric spaces in the Einstein-Maxwell-Dilaton theory. Performing a Legendre transformation, a ``Hamiltonian''is obtained, which allows to rewrite the dynamical equations in terms of three complex functions only. Using an ansatz resembling the one used by the harmonic maps ansatz, we express these three functions in terms of the harmonic parameters, studying the cases where these parameters are real, and when they are complex. For each case, the set of equations in terms of these harmonic parameters is derived, and several classes of solutions to the Einstein-Maxwell with arbitrary coupling constant to a dilaton field are presented. Most of the known solutions of charged and dilatonic black holes are contained as special cases and can be non-trivially generalized in different ways.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 16 citations worldwide. Full citation record

Harmonic branches of Einstein--Maxwell--scalar field gravity: exact solutions and regularity
gr-qc 2026-10 accept novelty 7.0 of 10

A unified harmonic construction yields exact solutions for black holes and wormholes in Einstein-Maxwell-dilaton gravity, with regularity conditions selecting branches H=1 or H=-1.
Potential Space Symmetries in Ernst-like Formulations of Einstein-Maxwell/ModMax-Scalar field Theories
gr-qc 2026-05 unverdicted novelty 7.0 of 10

The visible symmetries of the real potential space (f,ε,ψ,χ,κ) form a solvable Lie algebra, hidden symmetries act sectorially, and sectorial transformations applied to harmonic seeds produce charged and rotating branc...
Potential-space geometry and scalar rigidity of the Pleba\'nski-Demia\'nski ansatz without a cosmological constant
gr-qc 2026-09 accept novelty 6.0 of 10

No local nonconstant ordinary-dilaton solution exists in the quadratic Stäckel conformal Carter class of Λ=0 Einstein-Maxwell-dilaton theory.

How the literature uses it

3 arXiv papers cite this in 5 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 · 3 sentences without a confident label

Uses its method or tool 1 paper

In this work, we adopt the potential-space metric that has been used in the analyses of Refs. [ref] .

Potential Space Symmetries in Ernst-like Formulations of Einstein-Maxwell/ModMax-Scalar field Theories · Metric on the space of potentials and manifest symmetries · 0.93

Cites it as background 1 paper

This stringy extension of the Reissner-Nordström (RN) BH has attracted an enormous attention, finding a variety of interesting applications, $e.g.$ [ref] .

De-singularizing the extremal GMGHS black hole via higher derivatives corrections · Introduction · 0.97

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