Fermi normal co-ordinate system and electromagnetic detectors of gravitational waves. I - Calculation of the metric

Details Fermi normal co-ordinate system and electromagnetic detectors of gravitational waves. I - Calculation of the metric Fermi normal co-ordinate system and electromagnetic detectors of gravitational waves. I - Calculation of the metric

Sep 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ncimb..71...37f&link_type=abstract

Nuovo Cimento B, Serie 11, vol. 71 B, Sept. 11, 1982, p. 37-54.

Computer Science

24

Coordinate Transformations, Electromagnetic Measurement, Gravitational Waves, Riemann Manifold, Space-Time Functions, Tensor Analysis, Electromagnetic Interactions, Geodesic Lines, Linear Equations, Monochromatic Radiation, Plane Waves, Series Expansion

Scientific paper

A Fermi normal coordinate system is used to describe a gravitational wave in the linear approximation. The metric tensor is calculated exactly and shown to be a solution of R(mu-nu) equals O without the Lorentz condition being taken into account. The terms of the transformation matrix can, in the linear approximation, be computed exactly and can be expressed in power series of purely spatial coordinates with coefficients depending on the Riemann tensor and its higher derivatives calculated on the timelike geodesic. The results give in a very simple way an exact solution of the linear approximation of a gravitational wave, are specialized to a monochromatic plane gravitational wave, allowing an unambiguous treatment of an electromagnetic detector.

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