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Free keywords:
General Relativity and Quantum Cosmology, gr-qc, Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE,High Energy Physics - Phenomenology, hep-ph,High Energy Physics - Theory, hep-th
Abstract:
The two-body problem is extensively studied in open systems and
asymptotically flat spacetimes. However, there are many systems where radiation
is trapped: they range from radiating charges in cavities to low-energy
excitations of massive degrees of freedom, to anti-de Sitter spacetimes. Here,
we study the problem of motion of a pointlike particle orbiting a massive
compact object inside a cavity. We first show that - assuming circular motion -
there are initial conditions for which the self-force vanishes and the binary
is eternal. We then consider the evolution of the system under radiation
reaction in a toy model which we argue captures the essentials of orbiting
particles. We show that eternal circular binaries may exist. We also show that
the presence of cavity modes leads to chaos in regimes of strong coupling or
when the system is initialized close enough to a resonance. Our results have
implications for physics in anti-de Sitter spacetimes and possibly for binaries
evolving within dark matter haloes, if it consists on massive fundamental
fields.
