Chaotic Behavior of Geodesics in Kerr-like Spacetime

Abstract

In this contribution, the motion of unitary mass test particles in a perturbed Kerr-like metric is studied using simulations in the configuration and phase space. Our metric represents the approximate exterior spacetime of a massive rotating body with mass quadrupole moment $q$. Chaotic behavior arises as the $q$ parameter increases. The rotation number is determined for an axis of symmetry in the corresponding Poincaré section. The existence of chaotic regions in the region near the source event horizon is shown.

30 pages, 32 figures

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Cited by in corpus (2)

• Structure-preserving numerical simulations of test particle dynamics around slowly rotating neutron stars within Hartle-Thorne approach
• Third type of spacetime with the coexistence of integrability and non-integrability