Einstein-AdS gravity coupled to nonlinear electrodynamics, magnetic black holes, thermodynamics in an extended phase space and Joule--Thomson expansion

S.I. Kruglov

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Einstein-AdS gravity coupled to nonlinear electrodynamics, magnetic black holes, thermodynamics in an extended phase space and Joule--Thomson expansion

S.I. Kruglov

General Physics · Submitted 8 Aug 2024

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

The authors' main claim It was shown that the principles of causality and unitarity are satisfied in the model under consideration.

how it is stated · asserted 1.00 read the record →

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arXiv ID2408.04714 (version 1)

Pith IDV7KDF7DD, Pith's permanent record of this paper and its review

CitationS.I. Kruglov. "Einstein-AdS gravity coupled to nonlinear electrodynamics, magnetic black holes, thermodynamics in an extended phase space and Joule--Thomson expansion." arXiv:2408.04714 (2024). https://pith.science/paper/V7KDF7DD

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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-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,654 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.23 · 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.

We study Einstein's gravity with negative cosmological constant coupled to nonlinear electrodynamics proposed earlier. The metric and mass functions and corrections to the Reissner--Nordstr\"{o}m solution are obtained. Black hole solutions can have one or two horizons. Thermodynamics and phase transitions of magnetically charged black holes in Anti-de Sitter spacetime are investigated. The first law of black hole thermodynamics is formulated and the generalized Smarr relation is proofed. By calculating the Gibbs free energy and heat capacity we study the black hole stability. Zero-order (reentrant), first-order, and second-order phase transitions are analysed. The Joule--Thomson expansion is considered showing the cooling and heating phase transitions. It was shown that the principles of causality and unitarity are satisfied in the model under consideration.

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	We study Einstein's gravity with negative cosmological constant coupled to nonlinear electrodynamics proposed earlier.	contribution 0.86	0.68	0.04	asserted 0.94
s1	The metric and mass functions and corrections to the Reissner--Nordstr\"{o}m solution are obtained.	result 0.74	0.92	0.05	asserted 1.00
s2	Black hole solutions can have one or two horizons.	result 1.00	0.64	0.05	hedged possibility 0.60
s3	Thermodynamics and phase transitions of magnetically charged black holes in Anti-de Sitter spacetime are investigated.	contribution 1.00	0.92	0.07	asserted 0.89
s4	The first law of black hole thermodynamics is formulated and the generalized Smarr relation is proofed.	contribution 0.73	0.91	0.10	asserted 1.00
s5	By calculating the Gibbs free energy and heat capacity we study the black hole stability.	method 0.88	0.93	0.07	asserted 0.96
s6	Zero-order (reentrant), first-order, and second-order phase transitions are analysed.	contribution 0.57	0.91	0.12	asserted 0.96
s7	The Joule--Thomson expansion is considered showing the cooling and heating phase transitions.	contribution 0.73	0.86	0.09	asserted 0.99
s8	It was shown that the principles of causality and unitarity are satisfied in the model under consideration.	result 0.97	0.81	0.19	asserted 1.00

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

What was examined, and what was not

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arXiv listing abstract v1

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

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P abstract

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S sections
T body sentences
C citations
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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

We study Einstein's gravity with negative cosmological constant coupled to nonlinear electrodynamics proposed earlier. The metric and mass functions and corrections to the Reissner--Nordstr\"{o}m solution are obtained. Black hole solutions can have one or two horizons. Thermodynamics and phase transitions of magnetically charged black holes in Anti-de Sitter spacetime are investigated. The first law of black hole thermodynamics is formulated and the generalized Smarr relation is proofed. By calculating the Gibbs free energy and heat capacity we study the black hole stability. Zero-order (reentrant), first-order, and second-order phase transitions are analysed. The Joule--Thomson expansion is considered showing the cooling and heating phase transitions. It was shown that the principles of causality and unitarity are satisfied in the model under consideration.

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How the literature uses it

1 arXiv paper cite this in 2 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

What it cites · 16 sentences without a confident label

Compares with 1 paper

Equation (24) is similar to the Van der Waals equation of state if the specific volume reads $v=2l_Pr_+$ ($l_P=√(G_N)=1$) [ref] .

P-V criticality of charged AdS black holes · Thermodynamics of black hole · 0.86

Cites as support 1 paper

We consider magnetically charged black holes because electrically charged black holes with NED possessing weak-field Maxwell limit have a singularity [ref] .

Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics · Introduction · 0.99

Cites as background 31 papers

Born–Infeld-AdS thermodynamics of black holes in extended phase space was studied in [ref] .

Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source · Introduction · 0.86
Born–Infeld-AdS thermodynamics of black holes in extended phase space was studied in [ref] .

Critical behavior of Born-Infeld AdS black holes in the extended phase space thermodynamics · Introduction · 0.86
Born–Infeld-AdS thermodynamics of black holes in extended phase space was studied in [ref] .

Phase structure of the Born-Infeld-anti-de Sitter black holes probed by non-local observables · Introduction · 0.86

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