Chaotic Motion around a Black Hole under Minimal Length Effects
arXiv:2002.05894 · doi:10.1140/epjc/s10052-020-8335-6
Abstract
We use the Melnikov method to identify chaotic behavior in geodesic motion perturbed by the minimal length effects around a Schwarzschild black hole. Unlike the integrable unperturbed geodesic motion, our results show that the perturbed homoclinic orbit, which is a geodesic joining the unstable circular orbit to itself, becomes chaotic in the sense that Smale horseshoes chaotic structure is present in phase space.
arXiv comment17 pages, 4figures
References in corpus (45)
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- Quantum gravity and minimum length
- Probing Planck-scale physics with quantum optics
- The algebraic structure of the generalized uncertainty principle
- Minimal Length Uncertainty Relation and Hydrogen Atom
- Exact Solution of the Harmonic Oscillator in Arbitrary Dimensions with Minimal Length Uncertainty Relations
- Short Distance vs. Long Distance Physics: The Classical Limit of the Minimal Length Uncertainty Relation
- Gravitational tests of the Generalized Uncertainty Principle
- GUP parameter from quantum corrections to the Newtonian potential
- The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
- Observable Properties of Orbits in Exact Bumpy Spacetimes
- Minimal Length Uncertainty Relation and gravitational quantum well
- Minimal Length Uncertainty Relation and the Hydrogen Spectrum
- Generalized Uncertainty Principle, Black Holes, and White Dwarfs: A Tale of Two Infinities
- Chaos in the Gauge/Gravity Correspondence
- Observing remnants by fermions' tunneling
- Chaos in Static Axisymmetric Spacetimes I : Vacuum Case
- Chaotic motion of particles in the accelerating and rotating black holes spacetime
- Effects of quantum gravity on black holes
- Remnants, fermions' tunnelling and effects of quantum gravity
- Deformed Heisenberg algebra with minimal length and equivalence principle
- Chaotic Scattering and Capture of Strings by Black Hole
- Potential tests of the Generalized Uncertainty Principle in the advanced LIGO experiment
- Free motion around black holes with discs or rings: between integrability and chaos -- IV
- Generalized Uncertainty Principle as a Consequence of the Effective Field Theory
- Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes
- Quantum gravity effects on statistics and compact star configurations
- Chaos in black holes surrounded by gravitational waves
- Chaos in the motion of a test scalar particle coupling to Einstein tensor in Schwarzschild-Melvin black hole spacetime
- Chaos in charged AdS black hole extended phase space
- Quantum gravity, minimum length and Keplerian orbits
- Chaos from the ring string in Gauss-Bonnet black hole in space
- Minimal Length Effects on Chaotic Motion of Particles around Black Hole Horizon
- Chaotic motion in multi-black hole spacetimes and holographic screens
- Short distance modification of the quantum virial theorem
- The Classical Limit of Minimal Length Uncertainty Relation:Revisit with the Hamilton-Jacobi Method
- Some Astrophysical Aspects of a Schwarzschild Geometry Equipped with a Minimal Measurable Length
- Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space
- Free motion around black holes with discs or rings: between integrability and chaos -- VI. The Melnikov method
- Chaos in Black holes Surrounded by Electromagnetic Fields
- Chaotic dynamics of string around charged black brane with hyperscaling violation
- Chaos in Born-Infeld-AdS black hole within extended phase space
- The Harmonic Oscillator in the Classical Limit of a Minimal-Length Scenario
- Effect of GUP on the Kepler problem and a variable minimal length
- Chaotic Motion of Charged Particles around a Weakly Magnetized Kerr-Newman Black Hole