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Null hypersurface caustics and super-entropic black holes
General Relativity and Quantum Cosmology · Submitted 16 Mar 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim After investigating the null hypersurface of the black hole, we show that there exist super-entropic black holes whose null hypersurface caustics only form inside the Cauchy horizon.
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The abstract, sentence by sentence
We obtain a charged, rotating and accelerating black hole solution in the $f(R)$ gravity and calculate thermodynamic quantities of the black hole in the slow acceleration regime. We then find that the black hole can be super-entropic in a certain condition. After investigating the null hypersurface of the black hole, we show that there exist super-entropic black holes whose null hypersurface caustics only form inside the Cauchy horizon.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We obtain a charged, rotating and accelerating black hole solution in the $f(R)$ gravity and calculate thermodynamic quantities of the black hole in the slow acceleration regime. | contribution 0.98 | 0.96 | 0.07 | asserted 1.00 |
| s1 | We then find that the black hole can be super-entropic in a certain condition. | result 1.00 | 0.96 | 0.20 | asserted 0.82 |
| s2 | After investigating the null hypersurface of the black hole, we show that there exist super-entropic black holes whose null hypersurface caustics only form inside the Cauchy horizon. | result 0.97 | 0.95 | 0.75 | asserted 1.00 |
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The paper
Original abstract
We obtain a charged, rotating and accelerating black hole solution in the $f(R)$ gravity and calculate thermodynamic quantities of the black hole in the slow acceleration regime. We then find that the black hole can be super-entropic in a certain condition. After investigating the null hypersurface of the black hole, we show that there exist super-entropic black holes whose null hypersurface caustics only form inside the Cauchy horizon.
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How the literature uses it
1 arXiv paper cite this in 1 sentence
What it cites · 51 sentences without a confident label
Builds on 1 paper
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The accelerating $f(R)$ AdS black hole with charge and rotation and its thermodynamics in the slowly accelerating regime we study in this paper is directly based on the work [ref] , where the thermodynamics of the charged and slowly accelerating $f(R)$ AdS black hole was studied.
Charged accelerating black hole in $f(R)$ gravity · Introduction · 0.89
Uses the method or tool of 10 papers
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Following the similar procedures in Refs. [ref] (for simplicity, we here do not show specific calculations), we can know that [equation] if $r>0$.
Null hypersurfaces in Kerr-(A)dS spacetimes · Null hypersurface caustics · 0.96
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Following the similar procedures in Refs. [ref] (for simplicity, we here do not show specific calculations), we can know that [equation] if $r>0$.
Null Hypersurfaces in Kerr-Newman-AdS Black Hole and Super-Entropic Black Hole Spacetimes · Null hypersurface caustics · 0.96
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Following the similar procedures in Refs. [ref] (for simplicity, we here do not show specific calculations), we can know that [equation] if $r>0$.
Quasi-Spherical Light Cones of the Kerr Geometry · Null hypersurface caustics · 0.96
Compares with 4 papers
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Hence, we get our result that the super-entropic accelerating black hole only forms caustic inside the Cauchy horizon of the black hole, being in stark contrast to other super-entropic black holes that develop caustics outside the event horizons mentioned in Refs. [ref] .
Null Hypersurfaces in Kerr-Newman-AdS Black Hole and Super-Entropic Black Hole Spacetimes · Null hypersurface caustics · 0.97
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Hence, we get our result that the super-entropic accelerating black hole only forms caustic inside the Cauchy horizon of the black hole, being in stark contrast to other super-entropic black holes that develop caustics outside the event horizons mentioned in Refs. [ref] .
Null Hypersurface Caustics, Closed Null Curves, and Super-Entropy · Null hypersurface caustics · 0.97
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Superficially, we find that the solution is similar to the one in the Einstein gravity [ref] , as it seems that the characteristic parameter $η$ can be eliminated just by a rescaling procedure of the electric charge parameter $q$.
A new look at the Plebanski-Demianski family of solutions · Charged, rotating and accelerating black holes in $f(R)$ gravity · 0.96
Cites as background 7 papers
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The null hypersurfaces of the Kerr black hole were studied early in 1998 [ref] , followed by Ref. [ref] .
Quasi-Spherical Light Cones of the Kerr Geometry · Introduction · 1.00
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The null hypersurfaces of the Kerr black hole were studied early in 1998 [ref] , followed by Ref. [ref] .
Light Cone Structure near Null Infinity of the Kerr Metric · Introduction · 1.00
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The AdS accelerating C-metric is more exceptional, as it only describes one black hole when the acceleration is small enough (in a slowly accelerating regime); otherwise, it describes a pair of accelerated black holes [ref] .
Holographic Thermodynamics of Accelerating Black Holes · Introduction · 0.91
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