# Conservative self-force correction to the innermost stable circular orbit: Comparison with multiple post-Newtonian-based methods

@article{Favata2011ConservativeSC, title={Conservative self-force correction to the innermost stable circular orbit: Comparison with multiple post-Newtonian-based methods}, author={Marc Favata}, journal={Physical Review D}, year={2011}, volume={83}, pages={024027} }

Barack and Sago [Phys. Rev. Lett. 102, 191101 (2009)] have recently computed the shift of the
innermost stable circular orbit (ISCO) of the Schwarzschild spacetime due to the conservative self-force
that arises from the finite-mass of an orbiting test-particle. This calculation of the ISCO shift is one of the
first concrete results of the self-force program, and provides an exact (fully relativistic) point of
comparison with approximate post-Newtonian (PN) computations of the ISCO. Here…

## 23 Citations

Self-force effects on the marginally bound zoom-whirl orbit in Schwarzschild spacetime

- PhysicsPhysical Review D
- 2019

For a Schwarzchild black hole of mass $M$, we consider a test particle falling from rest at infinity and becoming trapped, at late time, on the unstable circular orbit of radius $r=4GM/c^2$. When the…

Gravitational self-force correction to the binding energy of compact binary systems.

- Medicine, PhysicsPhysical review letters
- 2012

Using the first law of binary black-hole mechanics, we compute the binding energy E and total angular momentum J of two nonspinning compact objects moving on circular orbits with frequency Ω, at…

Periastron advance in spinning black hole binaries: comparing effective-one-body and Numerical Relativity

- Physics
- 2013

We compute the periastron advance using the effective-one-body formalism for binary black holes moving on quasicircular orbits and having spins collinear with the orbital angular momentum. We compare…

The Overlap of Numerical Relativity, Perturbation Theory and Post-Newtonian Theory in the Binary Black Hole Problem

- Physics
- 2012

Inspiralling and coalescing binary black holes are promising sources of gravitational radiation. The orbital motion and gravitational-wave emission of such system can be modeled using a variety of…

Gravitational Self-Force: Orbital Mechanics Beyond Geodesic Motion

- Physics
- 2014

The question of motion in a gravitationally bound two-body system is a longstanding open problem of General Relativity. When the mass ratio \(\eta \) is small, the problem lends itself to a…

Energy versus angular momentum in black hole binaries.

- Physics, MedicinePhysical review letters
- 2012

The prediction of the effective one body formalism, based purely on known analytical results (without any calibration to numerical relativity), agrees strikingly well with the numerical-relativity results.

Self-force and radiation reaction in general relativity.

- Physics, MedicineReports on progress in physics. Physical Society
- 2019

This review surveys the theory of gravitational self- force in curved spacetime and its application to the astrophysical inspiral problem, and highlights the way in which self-force calculations make a fruitful contact with other approaches to the two-body problem and help inform an accurate universal model of binary black hole inspirals, valid across all mass ratios.

SECOND-ORDER GRAVITATIONAL SELF-FORCE

- Physics
- 2015

FACULTY OF PHYSICAL AND APPLIED SCIENCES Doctor of Philosophy THE SECOND-ORDER GRAVITATIONAL SELF-FORCE by Jeremy Miller This project makes progress towards a first calculation of the second-order…

The gravitational two-body problem in the vicinity of the light ring: Insights from the black-hole–ring toy model

- Physics
- 2013

Abstract The physical properties of an axisymmetric black-hole–ring system are studied analytically within the framework of general relativity to second order in the dimensionless mass ratio μ ≡ m /…

First law of binary black hole mechanics in general relativity and post-Newtonian theory

- Physics
- 2012

First laws of black hole mechanics, or thermodynamics, come in a variety of different forms. In this paper, from a purely post-Newtonian (PN) analysis, we obtain a first law for binary systems of…

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