ar X iv : g r - qc / 9 90 40 15 v 1 6 A pr 1 99 9 Errors on the inverse problem solution for a noisy spherical gravitational wave antenna
نویسندگان
چکیده
A single spherical antenna is capable of measuring the direction and polarization of a gravitational wave. It is possible to solve the inverse problem using only linear algebra even in the presence of noise. The simplicity of this solution enables one to explore the error on the solution using standard techniques. In this paper we derive the error on the direction and polarization measurements of a gravitational wave. We show that the solid angle error and the uncertainty on the wave amplitude are direction independent. We also discuss the possibility of determining the polarization amplitudes with isotropic sensitivity for any given gravitational wave source.
منابع مشابه
ar X iv : g r - qc / 9 90 40 27 v 1 1 2 A pr 1 99 9 Vacuum structure for expanding geometry
We consider gravitational wave modes in the FRW metrics in a de Sitter phase and show that the state space splits into many unitarily inequivalent representations of the canonical commutation relations. Non-unitary time evolution is described as a trajectory in the space of the representations. The generator of time evolution is related to the entropy operator. The thermo-dynamic arrow of time ...
متن کاملar X iv : g r - qc / 9 90 61 19 v 1 2 9 Ju n 19 99 Gravitational memory of natural wormholes
A traversable wormhole solution of general scalar–tensor field equations is presented. We have shown, after a numerical analysis for the behavior of the scalar field of Brans-Dicke theory, that the solution is completely singularity– free. Furthermore, the analysis of more general scalar field dependent coupling constants indicates that the gravitational memory phenomenon may play an important ...
متن کاملar X iv : h ep - t h / 96 04 15 9 v 1 2 5 A pr 1 99 6 BGU - PH - 96 / 08 SPECTRUM OF COSMIC GRAVITATIONAL WAVE BACKGROUND
Models of string cosmology predict a stochastic background of gravitational waves with a spectrum that is strongly tilted towards high frequencies. I give simple approximate expressions for spectral densities of the cosmic background which can be directly compared with sensitivities of gravitational wave detectors.
متن کاملar X iv : g r - qc / 9 80 40 73 v 1 2 7 A pr 1 99 8 GRAIL an omni - directional gravitational - wave detector
An cryogenic spherical and omni-directional resonant-mass detector proposed by the GRAIL collaboration is described. Spherical resonant-mass detectors have been discussed in the literature since the early 70’s [1, 2, 3]. They have a number of obvious advantages over Weber bars: • Spherical detectors have the largest mass for a given linear dimension. • They are always optimally oriented with re...
متن کامل