Spherically symmetric pulsations trigger homoclinic chaos in orbits around black holes enclosed by dark matter halos, unlike the vacuum Schwarzschild case.
Chaotic dynamics of pulsating spheres orbiting black holes
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We study the chaotic dynamics of spinless extended bodies in a wide class of spherically symmetric spacetimes, which encompasses black-hole scenarios in many modified theories of gravity. We show that a spherically symmetric pulsating ball may have chaotic motion in this class of spacetimes. The cases of the Reissner-Nordstr{\"o}m and Ay{\'o}n-Beato-Garc{\'i}a black holes are analyzed in detail. The equations of motion for the extended bodies are obtained according to Dixon's formalism, up to quadrupole order. Then, we use Melnikov's method to show the presence of homoclinic intersections, which imply chaotic behavior, as a consequence of our assumption that the test body has an oscillating radius.
citation-role summary
background 1
citation-polarity summary
fields
gr-qc 1years
2024 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Chaotic orbital dynamics of pulsating stars around black holes surrounded by dark matter halos
Spherically symmetric pulsations trigger homoclinic chaos in orbits around black holes enclosed by dark matter halos, unlike the vacuum Schwarzschild case.