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Nonlinear Charged Black Holes in Anti-de Sitter Quasi-Topological Gravity
General Relativity and Quantum Cosmology · Submitted 8 Apr 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that black holes with spherical, flat and hyperbolical horizon in quasitopological gravity are stable for any allowed quasitopological parameters.
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The abstract, sentence by sentence
In this paper, we present the static charged solutions of quartic quasitopological gravity in the presence of a nonlinear electromagnetic field. Two branches of these solutions present black holes with one or two horizons or a naked singularity depending on the charge and mass of the black hole. The entropy of the charged black holes of fourth order quasitopological gravity through the use of Wald formula is computed and the mass, temperature and the charge of these black holes are found as well. We show that black holes with spherical, flat and hyperbolical horizon in quasitopological gravity are stable for any allowed quasitopological parameters.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this paper, we present the static charged solutions of quartic quasitopological gravity in the presence of a nonlinear electromagnetic field. | contribution 1.00 | 0.95 | 0.13 | asserted 1.00 |
| s1 | Two branches of these solutions present black holes with one or two horizons or a naked singularity depending on the charge and mass of the black hole. | result 1.00 | 0.80 | 0.18 | asserted 0.98 |
| s2 | The entropy of the charged black holes of fourth order quasitopological gravity through the use of Wald formula is computed and the mass, temperature and the charge of these black holes are found as well. | contribution 0.40 | 0.95 | 0.12 | asserted 1.00 |
| s3 | We show that black holes with spherical, flat and hyperbolical horizon in quasitopological gravity are stable for any allowed quasitopological parameters. | result 1.00 | 0.88 | 0.36 | asserted 1.00 |
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The paper
Original abstract
In this paper, we present the static charged solutions of quartic quasitopological gravity in the presence of a nonlinear electromagnetic field. Two branches of these solutions present black holes with one or two horizons or a naked singularity depending on the charge and mass of the black hole. The entropy of the charged black holes of fourth order quasitopological gravity through the use of Wald formula is computed and the mass, temperature and the charge of these black holes are found as well. We show that black holes with spherical, flat and hyperbolical horizon in quasitopological gravity are stable for any allowed quasitopological parameters.
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How the literature uses it
2 arXiv papers cite this in 3 sentences
Papers citing it · 2 sentences without a confident label
Cites it as background 1 paper
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Quasitopological black hole solutions in the presence of the power Maxwell matter field have been obtained in Refs. [ref] .
Joule-Thomson expansion of the quasitopological black holes · Joule-Thomson expansion of the power Maxwell quasitopological black hole · 0.93
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