REVIEW 6 cited by
The location of the last stable orbit in Kerr spacetime
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
Black hole spacetimes, like the Kerr spacetime, admit both stable and plunging orbits, separated in parameter space by the separatrix. Determining the location of the separatrix is of fundamental interest in understanding black holes, and is of crucial importance for modeling extreme mass-ratio inspirals. Previous numerical approaches to locating the Kerr separatrix were not always efficient or stable across all of parameter space. In this paper we show that the Kerr separatrix is the zero set of a single polynomial in parameter space. This gives two main results. First, we thoroughly analyze special cases (extreme Kerr, polar orbits, etc.), finding strict bounds on the limits of roots, and unifying a number of results in the literature. Second, we pose a stable numerical method which is guaranteed to quickly and robustly converge to the separatrix. This new approach is implemented in the Black Hole Perturbation Toolkit, and results in a ~45x speedup over the prior robust approach.
Forward citations
Cited by 6 Pith papers
-
Quadrupolar tidal effects destroy the integrability of black hole geodesics: analytic proof and numerical evidence of chaos
Leading-order tidally induced quadrupoles destroy Kerr geodesic integrability: no polynomial deformation of the Carter constant is conserved for generic Love couplings and Kerr spin.
-
Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit
First-order metric perturbations and the generalized redshift invariant are computed for eccentric, precessing orbits in Kerr spacetime using four metric reconstruction methods, with open-source code provided.
-
Radii of spherical timelike geodesics in Kerr-Newman black holes
Closed-form and numerical radii, existence conditions, and radial stability are given for spherical timelike orbits in Kerr-Newman spacetimes, including an analytical ISCO radius formula.
-
Self-force framework for merger-ringdown waveforms
A phase-space self-force framework is extended through the final plunge to produce merger-ringdown waveforms at leading geodesic order, with stationary-phase and quasinormal-mode approximations both failing near the p...
-
Searching for extreme mass ratio inspirals in LISA: from identification to parameter estimation
A staged pipeline using a new time-frequency match statistic recovers and estimates parameters of two injected EMRI signals in simulated LISA data, though with a hyperparameter tuned on those injections.
-
Sequential simulation-based inference for extreme mass ratio inspirals
Sequential simulation-based inference with truncated marginal neural ratio estimation shrinks the 11-parameter search volume for simulated non-spinning extreme-mass-ratio inspirals by factors of 1e6 to 1e7 and recover...
Discussion (0). Continue with ORCID to comment.