Search NASASearch

Engineering topics

Estabrook, F.

Publications and source records attributed to Estabrook, F..

Constraint-free Theories of Gravitation

Lovelock actions (more precisely, extended Gauss-Bonnet forms) when varied as Cartan forms on subspaces of higher dimensional flat Riemannian manifolds, generate well set, causal exterior differential systems.

gravitation

Time-Delay Interferometry for Space-based Gravitational Wave Searches

Ground-based, equal-arm-length laser interferometers are being built to measure high-frequency astrophysical graviatational waves. Because of the arm-length equality, laser light experiences the same delay in each arm and thus phase or frequency noise from the laser itself precisely cancels at the photodetector.

gravitational wave searches time-delay interferome

One-Arm Interferometric Detectors of Gravitational Waves

This paper presents the interferometric detection of gravitational waves using multiple bounce parallel-beam systems. Results show it is possible to remove laser frequency fluctuations from an offset paralllel-beam interferometer without removing the gravitational wave signal.

gravitational radiation one-arm interferometer non

Maximally slicing a black hole.

Analytic and computer-derived solutions are presented of the problem of slicing the Schwarzschild geometry into asymptotically flat, asymptotically static, maximal spacelike hypersurfaces. The sequence of hypersurfaces advances forward in time in both halves (u greater than or equal to 0, u less than or equal to 0) of the Kruskal diagram, tending asymptotically to the hypersurface r = 3/2 M and avoiding the singularity at r = 0. Maximality is therefore a potentially useful condition to impose in obtaining computer solutions of Einstein's equations.

Estabrook, F.