The tale of two centres
Neil Cornish, Gary Gibbons (DAMTP Cambridge)
TL;DR
This paper investigates how the motion of particles in a two-centre gravitational field transitions between regular and chaotic behavior as the dilaton coupling parameter in Einstein-dilaton-Maxwell theories is varied.
Contribution
It introduces a study of dynamical transitions in two-centre Einstein-dilaton-Maxwell systems, highlighting the impact of dilaton coupling on motion regularity.
Findings
Transitions between regular and chaotic motion observed
Dilatonic coupling influences dynamical behavior
Chaotic regimes emerge at specific coupling values
Abstract
We study motion in the field of two fixed centres described by a family of Einstein-dilaton-Maxwell theories. Transitions between regular and chaotic motion are observed as the dilaton coupling is varied.
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