The motion of compact binaries is influenced by the spin their components starting at 1.5 post-Newtonian (PN) order. On other hand, in large mass ratio limit, lighter object appears equations first order ratio, coinciding with leading gravitational self-force. Frame and gauge choices make it challenging to compare between two limits, especially for generic configurations. We derive novel closed formulas gauge-invariant actions frequencies spinning test particles near Kerr black holes. use...

This work provides gravitational-wave energy and angular momentum asymptotic fluxes from a spinning body moving on generic orbits in Kerr spacetime up to the linear-in-spin approximation. To achieve this, we have developed new frequency-domain Teukolsky equation solver that calculates amplitudes of bodies with their spin aligned total orbital momentum. However, these approximation are appropriate for adiabatic models extreme-mass-ratio inspirals even spins nonaligned check newly obtained...

We use the frequency and time domain Teukolsky formalism to calculate gravitational-wave fluxes from a spinning body on bound eccentric equatorial orbit around Kerr black hole. The is represented as point particle following pole-dipole approximation of Mathisson-Papapetrou-Dixon equations. Reformulating these equations we are not only able find trajectory in terms its constants motion, but also provide method azimuthal radial this trajectory. Using orbital quantities, introduce machinery...

The detection of gravitational waves from extreme mass ratio inspirals (EMRIs) by the future space-based gravitational-wave detectors demands generation accurate enough waveform templates. Since spin smaller secondary body cannot be neglected for and parameter estimation EMRIs, we study its influence on phase EMRIs with a spinning secondary. We focus generic eccentric equatorial orbits around Kerr black hole. To model object, use Mathisson-Papapetrou-Dixon equations in pole-dipole...

Space-based gravitational-wave detectors such as LISA are expected to detect inspirals of stellar-mass compact objects into massive black holes. Modeling requires fully relativistic computations achieve sufficient accuracy at leading order. However, subleading corrections the effects spin inspiraling object may potentially be treated in weak-field expansions post-Newtonian (PN) approach. In this work, we calculate PN expansion eccentric orbits spinning bodies around Schwarzschild Then use...

We consider a spinning test particle around rotating black hole and compare the Mathisson-Papapetrou-Dixon (MPD) formalism under Tulczyjew-Dixon spin supplementary condition to test-mass limit of effective-one-body (EOB) Hamiltonian [Phys. Rev. D.90, 044018(2014)], with enhanced spin-orbit sector. focus on circular equatorial orbits: we first constants motion at their linear in secondary approximation then compute gravitational-wave (GW) fluxes using frequency domain Teukolsky equation...

The equations of motion massive test particles near Kerr black holes are separable in Boyer-Lindquist coordinates, as established by Carter. This separability, however, is lost when the endowed with classical spin. We show that separability can be recovered to linear order spin a shift worldline derived use hidden symmetry spacetime. Consequently, closed-form solution expressed way closely analogous for spinless particles. finding enriches understanding and integrability properties dynamics...

We introduce an action-angle formalism for bounded geodesic motion in Kerr black hole spacetime using canonical perturbation theory. Namely, we employ a Lie series technique to produce of transformations on Hamiltonian function describing background written Boyer-Lindquist coordinates system variables. This allows us closed-form invertible relation between the variables and ones, while it generates analytical closed form all characteristic functions as well. The expressed variable is...

This work provides gravitational wave energy and angular momentum asymptotic fluxes from a spinning body moving on generic orbits in Kerr spacetime up to linear spin approximation. To achieve this, we have developed new frequency domain Teukolsky equation solver that calculates amplitudes of bodies with their aligned the total orbital momentum. However, these approximation are appropriate for adiabatic models extreme mass ratio inspirals even spins non-aligned check newly obtained fluxes,...

An extreme mass ratio inspiral takes place when a compact stellar object is inspiraling into supermassive black hole due to gravitational radiation reaction. Gravitational waves (GWs) from this system can be calculated using the Teukolsky equation (TE). In our case, we compute asymptotic GW fluxes of spinning body orbiting Kerr by solving numerically TE both in time and frequency domain. Our ultimate goal produce templates for space-based detectors such as LISA.

Space-based gravitational-wave detectors such as LISA are expected to detect inspirals of stellar-mass compact objects into massive black holes. Modeling requires fully relativistic computations achieve sufficient accuracy at leading order. However, subleading corrections the effects spin inspiraling object may potentially be treated in weak-field expansions post-Newtonian (PN) approach. In this work, we calculate PN expansion eccentric orbits spinning bodies around Schwarzschild Then use...

The equations of motion massive test particles near Kerr black holes are separable in Boyer-Lindquist coordinates, as established by Carter. This separability, however, is lost when the endowed with classical spin. We show that separability can be recovered to linear order spin a shift worldline derived use hidden symmetry space-time. Consequently, closed-form solution expressed way closely analogous for spinless particles. finding enriches understanding and integrability properties dynamics...

We introduce an action-angle formalism for bounded geodesic motion in Kerr black hole spacetime using canonical perturbation theory. Namely, we employ a Lie series technique to produce of transformations on Hamiltonian function describing background written Boyer-Lindquist coordinates system variables. This allows us closed-form invertible relation between the variables and ones, while it generates analytical closed form all characteristic functions as well. The expressed variable is...