Publications (19)
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…
Relativistic Closed-Form Hamiltonian for Many-Body Gravitating Systems in the Post-Minkowskian Approximation
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…
On the determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation
Thibault Damour, Piotr Jaranowski, Gerhard Schaefer
We discuss the analytical determination of the location of the Last Stable Orbit (LSO) in circular general relativistic orbits of two point masses. We use several different ``resum…
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…
TIDAL AND TIDAL-RESONANT EFFECTS IN COALESCING BINARIES
Kostas D. Kokkotas, Gerhard Schaefer
Tidal and tidal-resonant effects in coalescing compact binary systems are investigated by direct numerical integration of the equations of motion. For the stars polytropic models a…
Can Schwarzschildean gravitational fields suppress gravitational waves?
Edward Malec, Gerhard Schaefer
Gravitational waves in the linear approximation propagate in the Schwarzschild spacetime similarly as electromagnetic waves. A fraction of the radiation scatters off the curvature…
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…
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…
Non-uniqueness of the third post-Newtonian binary point-mass dynamics
Piotr Jaranowski, Gerhard Schaefer
It is shown that the recently found non-uniqueness of the third post-Newtonian binary point-mass ADM-Hamiltonian is related to the non-uniqueness at the third post-Newtonian approx…
Binary Black Hole Coalescence in Semi-Analytic Puncture Evolution
Achamveedu Gopakumar, Gerhard Schaefer
Binary black-hole coalescence is treated semi-analytically by a novel approach. Our prescription employs the conservative Skeleton Hamiltonian that describes orbiting Brill-Lindqui…
Relativistic dust disks and the Wilson-Mathews approach
Willy Kley, Gerhard Schaefer
Treating problems in full general relativity is highly complex and frequently approximate methods are employed to simplify the solution. We present comparative solutions of a infin…
Optimizing the third-and-a-half post-Newtonian gravitational radiation-reaction force for numerical simulations
Guillaume Faye, Gerhard Schaefer
The gravitational radiation-reaction force acting on perfect fluids at 3.5 post-Newtonian order is cast into a form which is directly applicable to numerical simulations. Extensive…
Gravitational Wave Interaction with Normal and Superconducting Circuits
Pierluigi Fortini, Enrico Montanari, Antonello Ortolan +1
The interaction, in the long--wavelength approximation, of normal and superconducting electromagnetic circuits with gravitational waves is investigated. We show that such interacti…
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…
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…
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…
Post-Newtonian Approximations, Compact Binaries, and Strong-Field Tests of Gravity
Luc Blanchet, L P Grishchuk, Gerhard Schaefer
This is an extended summary of the two parallel sessions held at MG11: PPN1 ``Strong Gravity and Binaries'' (chaired by L.B. and L.G.) and PPN2 ``Post-Newtonian Dynamics in Binary…
Motion and gravitational wave forms of eccentric compact binaries with orbital-angular-momentum-aligned spins under next-to-leading order in spin-orbit and leading order in spin(1)-spin(2) and spin-squared couplings
Manuel Tessmer, Johannes Hartung, Gerhard Schaefer
A quasi-Keplerian parameterisation for the solutions of second post-Newtonian (PN) accurate equations of motion for spinning compact binaries is obtained including leading order sp…
3rd post-Newtonian higher order Hamilton dynamics for two-body point-mass systems
Piotr Jaranowski, Gerhard Schaefer
The paper presents the conservative dynamics of two-body point-mass systems up to the third post-Newtonian order (). The two-body dynamics is given in terms of a higher orde…