Homoclinic Orbits around Spinning Black Holes I: Exact Solution for the Kerr Separatrix
pith:RUDYPMEI Add to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{RUDYPMEI}
Prints a linked pith:RUDYPMEI badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original abstract
Under the dissipative effects of gravitational radiation, black hole binaries will transition from an inspiral to a plunge. The separatrix between bound and plunging orbits features prominently in the transition. For equatorial Kerr orbits, we show that the separatrix is a homoclinic orbit in one-to-one correspondence with an energetically-bound, unstable circular orbit. After providing a definition of homoclinic orbits, we exploit their correspondence with circular orbits and derive exact solutions for them. This paper focuses on homoclinic behavior in physical space, while in a companion paper we paint the complementary phase space portrait. The exact results for the Kerr separatrix could be useful for analytic or numerical studies of the transition from inspiral to plunge.
This paper has not been read by Pith yet.
Forward citations
Cited by 3 Pith papers
-
Beyond the Separatrix: Analytic Continuation of Darwin Variables for Plunging Geodesics in Schwarzschild Spacetime
An analytic continuation of Darwin variables yields a real parametrization of bound, scattering, and plunging geodesics in Schwarzschild spacetime.
-
Astrophysically Realistic Secondary Spins Trigger Chaos in Schwarzschild Spacetime and Discernible Gravitational Wave Signatures
Chaos arises for realistic secondary spins in Schwarzschild EMRIs and imprints measurable signatures on gravitational waves, including higher spectral flatness.
-
Gravitational waveforms from periodic orbits around a novel regular black hole
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 Schwa...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.