Photon Emission Near Myers-Perry Black Holes in the Large Dimension Limit

Bin Chen; Minyong Guo; Peng-Cheng Li

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Photon Emission Near Myers-Perry Black Holes in the Large Dimension Limit

Minyong Guo, Peng-Cheng Li, Bin Chen

General Relativity and Quantum Cosmology · Submitted 20 Nov 2019

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

The authors' main claim We find that in this limit the radial integrals of these geodesics can be obtained by using the method of matched asymptotic expansions.

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arXiv ID1911.08814 (version 2)

Pith IDLD5D5ITI, Pith's permanent record of this paper and its review

CitationBin Chen, Minyong Guo, Peng-Cheng Li. "Photon Emission Near Myers-Perry Black Holes in the Large Dimension Limit." arXiv:1911.08814 (2019). https://pith.science/paper/LD5D5ITI

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.33 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.10 · mentions code or data availability 0.02.

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We study the null geodesics extending from the near-horizon region out to the far region in the background of the Schwarzschild and the singly-spinning Myers-Perry black holes in the large dimension limit. We find that in this limit the radial integrals of these geodesics can be obtained by using the method of matched asymptotic expansions. If the motion of the photon is confined to the equator plane, then all geodesic equations are solvable analytically. The study in this paper may provide a toy model to analyze the observables relevant to the electromagnetic phenomena occurring near the black holes.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study the null geodesics extending from the near-horizon region out to the far region in the background of the Schwarzschild and the singly-spinning Myers-Perry black holes in the large dimension limit.	contribution 0.99	0.91	0.06	asserted 0.94
s1	We find that in this limit the radial integrals of these geodesics can be obtained by using the method of matched asymptotic expansions.	method 0.51	0.95	0.21	asserted 1.00
s2	If the motion of the photon is confined to the equator plane, then all geodesic equations are solvable analytically.	result 0.98	0.82	0.13	asserted 0.99
s3	The study in this paper may provide a toy model to analyze the observables relevant to the electromagnetic phenomena occurring near the black holes.	interpretation 0.89	0.19	0.12	hedged possibility 1.00

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Original abstract

We study the null geodesics extending from the near-horizon region out to the far region in the background of the Schwarzschild and the singly-spinning Myers-Perry black holes in the large dimension limit. We find that in this limit the radial integrals of these geodesics can be obtained by using the method of matched asymptotic expansions. If the motion of the photon is confined to the equator plane, then all geodesic equations are solvable analytically. The study in this paper may provide a toy model to analyze the observables relevant to the electromagnetic phenomena occurring near the black holes.

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References

Forward citations

Cited by 4 Pith papers

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

Image of Kerr-Melvin black hole with thin accretion disk
gr-qc 2022-06 conditional novelty 5.0 of 10

Ray-traced images of a Kerr black hole in a Melvin magnetic field show that the inner shadow and critical curve grow monotonically with field strength, suggesting a way to estimate the field from black hole images.
Influence of Quantum Correction on the Black Hole Shadows, Photon Rings and Lensing Rings
gr-qc 2020-08 conditional novelty 4.0 of 10

The Kazakov-Solodukhin quantum-corrected Schwarzschild black hole reverses the universal inequality 3/2 r_0 <= r_ph <= b_c/sqrt(3) <= 3M and produces a larger lensing ring than Schwarzschild.
Shadow of a Spinning Black Hole in an Expanding Universe
gr-qc 2020-01 conditional novelty 4.0 of 10

For a spinning black hole in an expanding universe, the shadow's angular size approaches a non-zero constant for a distant comoving observer, and its oblateness is unchanged by cosmic expansion.
The Large D Limit of Einstein's Equations
hep-th 2020-03 accept novelty 3.0 of 10

A review of the large-dimension limit of general relativity, in which black holes reduce to effective membrane equations that reproduce known quasinormal spectra and predict new instabilities.

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9 arXiv papers cite this in 9 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

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These radial integrals [ref] can be approximately performed, to the leading order in $ϵ$ in the near-extremal limit, by using the matched asymptotic expansion (MAE) method which was introduced in Refs. [ref] (this MAE method has also been applied to the large dimension limit in Ref. [ref] recently).

Observational signature of a near-extremal Kerr-Sen black hole in the heterotic string theory · Radial integrals and matched asymptotic expansion method · 1.00
The interested readers are suggested to see more details in [ref] ].

Image of Kerr-Melvin black hole with thin accretion disk · Timelike geodesics · 0.88

Cites it as background 5 papers

Another successful effective approach is the large spacetime dimension limit, or the large $D$ limit [ref] , which has been proven to be useful in various problems involving higher dimensional black holes [ref] .

Black Ripples, Flowers and Dumbbells at large $D$ · Introduction · 0.87
One branch is led by Emparan, Suzuki, Tanabe (EST) and collaborators [ref] , which has been very successful in finding various stationary black holes and studying the dynamics of instabilities[See [ref] , [ref] , and [ref] for other collaborations that use large $D$ techniques similar to the framework of EST to study interesting and diverse problems.].

Black Rings in Large $D$ Membrane Paradigm at the First Order · Introduction · 0.93
Straight after this work, Bardeen and Cunningham took an indepth study on the optical appearance of a star orbiting an extremal Kerr black hole by concentrating on the apparent position and the energy flux of the brightest images as seen by distant observers [ref] [For recent developments on this aspect, one can see [ref] .].

Shadow of a Spinning Black Hole in an Expanding Universe · Introduction · 0.81

What it cites · 27 sentences without a confident label

Compares with 1 paper

On the other hand, compared to the results in [ref] , the main advantage of our treatment is that the spin of the black holes is general.

Photon Emission Near Extreme Kerr Black Holes · Introduction · 0.98

Cites as background 6 papers

The first image of the supermassive black hole at the centre of the galaxy M87, was observed by the Event Horizon Telescope (EHT) recently [ref] , which opens another new window to the study of black holes apart from gravitational wave detectors such as LIGO and Virgo.

First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole · Introduction · 0.91
The first image of the supermassive black hole at the centre of the galaxy M87, was observed by the Event Horizon Telescope (EHT) recently [ref] , which opens another new window to the study of black holes apart from gravitational wave detectors such as LIGO and Virgo.

First M87 Event Horizon Telescope Results. II. Array and Instrumentation · Introduction · 0.91
The first image of the supermassive black hole at the centre of the galaxy M87, was observed by the Event Horizon Telescope (EHT) recently [ref] , which opens another new window to the study of black holes apart from gravitational wave detectors such as LIGO and Virgo.

First M87 Event Horizon Telescope Results. III. Data Processing and Calibration · Introduction · 0.91

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