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According to general relativity, a binary consisting of spinning bodies will precess due to spin-orbit and spin-spin coupling. The corresponding modulation of its gravitational waves might be a serious problem for detecting such waves with simple post-Newtonian templates. A new family of templates that takes into account the complications arising from the orbital precession is proposed and its application and performance are discussed.

High order explicit Runge-Kutta pairs for ephemerides of the solar system and the Moon.

Sharp, Philip W. (2000)

Journal of Applied Mathematics and Decision Sciences

Interferometer techniques for gravitational-wave detection.

Freise, Andreas, Strain, Kenneth (2010)

Living Reviews in Relativity [electronic only]

Non linear stability of spherical gravitational systems described by the Vlasov-Poisson equation

Mohammed Lemou (2011/2012)

Séminaire Laurent Schwartz — EDP et applications

In this work, we prove the nonlinear stability of galaxy models derived from the three dimensional gravitational Vlasov Poisson system, which is a canonical model in astrophysics to describe the dynamics of galactic clusters.

On global smooth solutions to the 3D Vlasov–Nordström system

Christophe Pallard (2006)

Annales de l'I.H.P. Analyse non linéaire

On Lichtenstein's analysis of rotating newtonian stars

U. Heilig (1994)

Annales de l'I.H.P. Physique théorique

On local existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion

Piotr Mucha, Wojciech Zajączkowski (2000)

Applicationes Mathematicae

The local-in-time existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion is proved. We show the existence of solutions with lowest possible regularity for this problem such that $u \in W_{r}^{2, 1} ({\tilde{Ω}}^{T})$ with r>3. The existence is proved by the method of successive approximations where the solvability of the Cauchy-Neumann problem for the Stokes system is applied. We have to underline that in the $L_{p}$ -approach the Lagrangian coordinates must be used. We are looking...

On nonlinear stability of polytropic galaxies

G. Wolansky (1999)

Annales de l'I.H.P. Analyse non linéaire

On some parabolic-elliptic system with self-similar pressure term

Robert Stańczy (2006)

Banach Center Publications

A priori estimates for solutions of a system describing the interaction of gravitationally attracting particles with a self-similar pressure term are proved. The presented theory covers the case of the model with diffusions that obey either Fermi-Dirac statistics or a polytropic one.

On special optical modes and thermal issues in advanced gravitational wave interferometric detectors.

Vinet, Jean-Yves (2009)

Living Reviews in Relativity [electronic only]

Probes and tests of strong-field gravity with observations in the electromagnetic spectrum.

Psaltis, Dimitrios (2008)

Living Reviews in Relativity [electronic only]

Selfgravitating systems in Newtonian theory - the Vlasov-Poisson system

Gerhard Rein (1997)

Banach Center Publications

We give a review of results on the initial value problem for the Vlasov--Poisson system, concentrating on the main ingredients in the proof of global existence of classical solutions.

Some stability results for reactive Navier-Stokes-Poisson systems

B. Ducomet (2000)

Banach Center Publications

We review the main results concerning the global existence and the stability of solutions for some models of viscous compressible self-gravitating fluids used in classical astrophysics.

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