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Structure of geodesics in the regular Hayward black hole space-time
General Relativity and Quantum Cosmology · Submitted 15 Apr 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The results show that there may exist four orbital types in the time-like geodesics structure: planetary orbits, circular orbits, escape orbits and absorbing orbits.
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The abstract, sentence by sentence
The regular Hayward model describes a non-singular black hole space-time. By analyzing the behaviors of effective potential and solving the equation of orbital motion, we investigate the time-like and null geodesics in the regular Hayward black hole space-time. Through detailed analyses of corresponding effective potentials for massive particles and photons, all possible orbits are numerically simulated. The results show that there may exist four orbital types in the time-like geodesics structure: planetary orbits, circular orbits, escape orbits and absorbing orbits. In addition, when $\ell$, a convenient encoding of the central energy density $3/8\pi\ell^{2}$, is $0.6M$, and $b$ is $3.9512M$ as a specific value of angular momentum, escape orbits exist only under $b>3.9512M$. The precession direction is also associated with values of $b$. With $b=3.70M$ the bound orbits shift clockwise but counter-clockwise with $b=5.00M$ in the regular Hayward black hole space-time. We also find that the structure of null geodesics is simpler than that of time-like geodesics. There only exist three kinds of orbits (unstable circle orbits, escape orbits and absorbing orbits).
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The regular Hayward model describes a non-singular black hole space-time. | background 1.00 | 0.07 | 0.03 | asserted 1.00 |
| s1 | By analyzing the behaviors of effective potential and solving the equation of orbital motion, we investigate the time-like and null geodesics in the regular Hayward black hole space-time. | method 0.57 | 0.94 | 0.05 | asserted 0.93 |
| s2 | Through detailed analyses of corresponding effective potentials for massive particles and photons, all possible orbits are numerically simulated. | method 0.98 | 0.95 | 0.05 | asserted 0.99 |
| s3 | The results show that there may exist four orbital types in the time-like geodesics structure: planetary orbits, circular orbits, escape orbits and absorbing orbits. | result 1.00 | 0.93 | 0.45 | hedged possibility 0.98 |
| s4 | In addition, when $\ell$, a convenient encoding of the central energy density $3/8\pi\ell^{2}$, is $0.6M$, and $b$ is $3.9512M$ as a specific value of angular momentum, escape orbits exist only under $b>3.9512M$. | result 1.00 | 0.89 | 0.10 | asserted 0.96 |
| s5 | The precession direction is also associated with values of $b$. | result 0.99 | 0.83 | 0.06 | asserted 0.99 |
| s6 | With $b=3.70M$ the bound orbits shift clockwise but counter-clockwise with $b=5.00M$ in the regular Hayward black hole space-time. | result 1.00 | 0.92 | 0.07 | asserted 1.00 |
| s7 | We also find that the structure of null geodesics is simpler than that of time-like geodesics. | result 0.95 | 0.91 | 0.09 | asserted 1.00 |
| s8 | There only exist three kinds of orbits (unstable circle orbits, escape orbits and absorbing orbits). | result 1.00 | 0.94 | 0.17 | asserted 1.00 |
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Original abstract
The regular Hayward model describes a non-singular black hole space-time. By analyzing the behaviors of effective potential and solving the equation of orbital motion, we investigate the time-like and null geodesics in the regular Hayward black hole space-time. Through detailed analyses of corresponding effective potentials for massive particles and photons, all possible orbits are numerically simulated. The results show that there may exist four orbital types in the time-like geodesics structure: planetary orbits, circular orbits, escape orbits and absorbing orbits. In addition, when $\ell$, a convenient encoding of the central energy density $3/8\pi\ell^{2}$, is $0.6M$, and $b$ is $3.9512M$ as a specific value of angular momentum, escape orbits exist only under $b>3.9512M$. The precession direction is also associated with values of $b$. With $b=3.70M$ the bound orbits shift clockwise but counter-clockwise with $b=5.00M$ in the regular Hayward black hole space-time. We also find that the structure of null geodesics is simpler than that of time-like geodesics. There only exist three kinds of orbits (unstable circle orbits, escape orbits and absorbing orbits).
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References
How the literature uses it
2 arXiv papers cite this in 2 sentences
Papers citing it
Cites it as background 2 papers
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The geodesics of the Hayward spacetime have been studied in [ref] .
Light-ring pairs from $A$-discriminantal varieties · The Hayward spacetime · 0.98
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Null and time-like geodesic motion in the Hayward spacetime has been worked out in Refs. [ref] .
Structure of test magnetic fields and charged particle motion around the Hayward spacetime · Introduction · 0.94
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