MG11 
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Abstract

Orbital phase in inspiraling compact binaries

We derive the rate of increase of the orbital frequency up to the second post-Newtonian order for inspiraling compact binaries with spin, mass quadrupole and magnetic dipole moments on eccentric orbits. We give the results both in terms of dynamical constants and of orbital elements.

Perturbations of a cosmological constant dominated universe

One of the proposed form of dark energy is the cosmological constant. We give the complete C^infty solution governing linear perturbations of a spatially flat Friedmann-Robertson-Walker model with a pressureless ideal fluid source and non-vanishing cosmological constant. Using the potential which belongs to the growing mode of the relative energy density fluctuations, we separated the Sachs–Wolfe and Integrated Sachs–Wolfe terms. It is found that the part of the Sachs–Wolfe term which becomes time dependent in the presence of a cosmological constant underwent a reversal approximately two billion years ago. Using the time dependence of the perturbation potentials we give the analytic expression for the argument of the ISW integral for an arbitrary initial power spectrum of the fluctuations.

Gravitational waves of a Lense-Thirring system

We evaluate the gravitational wave polarizations for inspiralling compact binaries in the extreme mass ratio limit and discuss the effects caused by the rotation of the central, massive body. The formal expressions of the polarization states are given for eccentric orbits up to 1.5 post-Newtonian order beyond the quadrupole approximation.