Periodic orbits in charged LQG black holes produce zoom-whirl gravitational waveforms detectable by future space-based observatories, with features depending on the fixed polymerization parameter.
Energy Level Diagrams for Black Hole Orbits
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abstract
A spinning black hole with a much smaller black hole companion forms a fundamental gravitational system, like a colossal classical analog to an atom. In an appealing if imperfect analogy to atomic physics, this gravitational atom can be understood through a discrete spectrum of periodic orbits. Exploiting a correspondence between the set of periodic orbits and the set of rational numbers, we are able to construct periodic tables of orbits and energy level diagrams of the accessible states around black holes. We also present a closed form expression for the rational q, thereby quantifying zoom-whirl behavior in terms of spin, energy, and angular momentum. The black hole atom is not just a theoretical construct, but corresponds to extant astrophysical systems detectable by future gravitational wave observatories.
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gr-qc 8representative citing papers
Deviations from γ=1 in the Zipoy-Voorhees metric shift the (z,w,v) classification of periodic orbits and induce phase shifts plus amplitude modulations in their gravitational-wave signals.
Numerical study finds that a deviation parameter in a regular black hole with Minkowski core produces phase shifts and amplitude changes in kludge waveforms from periodic orbits, making them distinguishable from Schwarzschild for larger deviations and certain orbit types.
Periodic orbits in Euler-Heisenberg black holes surrounded by perfect fluid dark matter produce burst-like gravitational wave signals whose amplitude and frequency content are modified by both dark matter density and QED parameters.
Quintessence parameter cq systematically shifts zoom-whirl periodic orbits and their numerical-kludge EMRI waveforms around a magnetically charged nonlinear-electrodynamics black hole into the LISA millihertz band.
Periodic orbits around a non-rotating Destounis-Suvorov-Kokkotas black hole are taxonomized with integer triplets and their gravitational waveforms are calculated, showing that large deformations eliminate circular orbits and modify wave signals.
EFTGR black-hole periodic orbits follow the (z,w,v) taxonomy and emit zoom-whirl waveforms whose phase, not amplitude, is sensitive to the EFTGR coupling ϵ1.
The quantum parameter ξ in an asymptotically safe regular black hole shifts the innermost stable orbit, enhances whirl behavior in periodic geodesics, and produces amplitude-modulated millihertz gravitational-wave strains whose peak amplitude grows with ξ, placing them inside the sensitivity bands预计
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Probing Gravitational Wave Signatures from Periodic Orbits of Regular Black Holes in Asymptotically Safe Gravity
The quantum parameter ξ in an asymptotically safe regular black hole shifts the innermost stable orbit, enhances whirl behavior in periodic geodesics, and produces amplitude-modulated millihertz gravitational-wave strains whose peak amplitude grows with ξ, placing them inside the sensitivity bands预计