316 citations · 2.6k across the 39 of their papers we have counts for
42 papers
A Fully Analytic Expression for the 2PN N-Body Hamiltonian
Felix M. Heinze, Gerhard Schäfer, Bernd Brügmann
We present a complete analytic expression for the -body Hamiltonian of nonspinning point particles at second post-Newtonian (2PN) order in the Arnowitt-Deser-Misner (ADM) gauge.…
Gravity in binary systems at the fifth and sixth post-Newtonian order
J. Blümlein, A. Maier, P. Marquard +1
Binary sources of gravitational waves in the early inspiral phase are accurately described by a post-Newtonian expansion in small velocity and weak interaction. We compute the cons…
The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach
J. Blümlein, A. Maier, P. Marquard +1
Within an effective field theory method to general relativity, we calculate the fifth-order post--Newtonian (5 PN) Hamiltonian dynamics also for the tail terms, extending earlier w…
Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
Gerhard Schäfer, Piotr Jaranowski
Hamiltonian formalisms provide powerful tools for the computation of approximate analytic solutions of the Einstein field equations. The post-Newtonian computations of the explicit…
Conservative dynamics of two-body systems at the fourth post-Newtonian approximation of general relativity
Thibault Damour, Piotr Jaranowski, Gerhard Schäfer
The fourth post-Newtonian (4PN) two-body dynamics has been recently tackled by several different approaches: effective field theory, Arnowitt-Deser-Misner Hamiltonian, action-angle…
Derivation of local-in-time fourth post-Newtonian ADM Hamiltonian for spinless compact binaries
Piotr Jaranowski, Gerhard Schäfer
The paper gives full details of the computation within the canonical formalism of Arnowitt, Deser, and Misner of the local-in-time part of the fourth post-Newtonian, i.e. of power…
Eccentric Motion of Spinning Compact Binaries
Manuel Tessmer, Gerhard Schäfer
The equations of motion for spinning compact binaries on eccentric orbits are treated perturbatively in powers of a fractional mass-difference ordering parameter. The solution is v…
Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems
Thibault Damour, Piotr Jaranowski, Gerhard Schäfer
We complete the analytical determination, at the 4th post-Newtonian (4PN) approximation, of the conservative dynamics of gravitationally interacting two-point-mass systems. This co…
Dimensional regularization of local singularities in the 4th post-Newtonian two-point-mass Hamiltonian
Piotr Jaranowski, Gerhard Schäfer
The article delivers the only still unknown coefficient in the 4th post-Newtonian energy expression for binary point masses on circular orbits as function of orbital angular freque…
Observables of a test-mass along an inclined orbit in a post-Newtonian approximated Kerr spacetime to leading-order-quadratic-in-spin
Steven Hergt, Abhay Shah, Gerhard Schäfer
The orbital motion is derived for a non-spinning test-mass in the relativistic, gravitational field of a rotationally deformed body not restricted to the equatorial plane or spheri…
Next-to-next-to-leading order post-Newtonian linear-in-spin binary Hamiltonians
Johannes Hartung, Jan Steinhoff, Gerhard Schäfer
The next-to-next-to-leading order post-Newtonian spin-orbit and spin(1)-spin(2) Hamiltonians for binary compact objects in general relativity are derived. The Arnowitt-Deser-Misner…
Canonical Angles In A Compact Binary Star System With Spinning Components: Approximative Solution Through Next-To-Leading-Order Spin-Orbit Interaction for Circular Orbits
Manuel Tessmer, Jan Steinhoff, Gerhard Schäfer
This publication will deal with an explicit determination of the time evolution of the spin orientation axes and the evolution of the orbital phase in the case of circular orbits u…
Towards the 4th post-Newtonian Hamiltonian for two-point-mass systems
Piotr Jaranowski, Gerhard Schäfer
The article presents the conservative dynamics of gravitationally interacting two-point-mass systems up to the eight order in the inverse power of the velocity of light, i.e.\ 4th…
On the comparison of results regarding the post-Newtonian approximate treatment of the dynamics of extended spinning compact binaries
Steven Hergt, Jan Steinhoff, Gerhard Schaefer
A brief review is given of all the Hamiltonians and effective potentials calculated hitherto covering the post-Newtonian (pN) dynamics of a two body system. A method is presented t…
Elimination of the spin supplementary condition in the effective field theory approach to the post-Newtonian approximation
Steven Hergt, Jan Steinhoff, Gerhard Schaefer
The present paper addresses open questions regarding the handling of the spin supplementary condition within the effective field theory approach to the post-Newtonian approximation…
Leading-order spin-orbit and spin(1)-spin(2) radiation-reaction Hamiltonians
Han Wang, Jan Steinhoff, Jing Zeng +1
In the present paper, the leading-order post-Newtonian spin-orbit and spin(1)-spin(2) radiation-reaction Hamiltonians are calculated. We utilize the canonical formalism of Arnowitt…
Full-analytic frequency-domain gravitational wave forms from eccentric compact binaries to 2PN accuracy
Manuel Tessmer, Gerhard Schaefer
The article provides full-analytic gravitational wave (GW) forms for eccentric nonspinning compact binaries of arbitrary mass ratio in the time Fourier domain. The semi-analytical…
Full-analytic frequency-domain 1pN-accurate gravitational wave forms from eccentric compact binaries
Manuel Tessmer, Gerhard Schaefer
The article provides ready-to-use 1pN-accurate frequency-domain gravitational wave forms for eccentric nonspinning compact binaries of arbitrary mass ratio including the first post…
Post-Minkowskian closed-form Hamiltonian for gravitating N-body systems
Tomas Ledvinka, Gerhard Schaefer, Jiri Bicak
The Hamiltonian for a system of relativistic bodies interacting by their gravitational field is found in the post-Minkowskian approximation, including all terms linear in the gravi…
Binary spinning black hole Hamiltonian in canonical center-of-mass and rest-frame coordinates through higher post-Newtonian order
Tilman J. Rothe, Gerhard Schäfer
The recently constructed Hamiltonians for spinless binary black holes through third post-Newtonian order and for spinning ones through formal second post-Newtonian order, where the…
ADM canonical formulation with spin and application to post-Newtonian approximations
J. Steinhoff, S. Hergt, G. Schäfer
Recently, different methods succeeded in calculating the spin dynamics at higher orders in the post-Newtonian (PN) approximation. This is an essential step toward the determination…
Fourth-post-Newtonian-exact approximation to General Relativity
David Brizuela, Gerhard Schaefer
An approximation to General Relativity is presented that agrees with the Einstein field equations up to and including the fourth post-Newtonian (PN) order. This approximation is fo…
Reduced Hamiltonian for next-to-leading order Spin-Squared Dynamics of General Compact Binaries
Steven Hergt, Jan Steinhoff, Gerhard Schaefer
Within the post Newtonian framework the fully reduced Hamiltonian (i.e., with eliminated spin supplementary condition) for the next-to-leading order spin-squared dynamics of genera…
Canonical formulation of self-gravitating spinning-object systems
Jan Steinhoff, Gerhard Schäfer
Based on the Arnowitt-Deser-Misner (ADM) canonical formulation of general relativity, a canonical formulation of gravitationally interacting classical spinning-object systems is gi…