Rigid covariance as a natural extension of Painlevé--Gullstrand space-times: gravitational waves

Abstract

The group of rigid motions is considered to guide the search for a natural system of space-time coordinates in General Relativity. This search leads us to a natural extension of the space-times that support Painlevé--Gullstrand synchronization. As an interesting example, here we describe a system of rigid coordinates for the cross mode of gravitational linear plane waves.

14 pages

References in corpus (5)

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Cited by in corpus (2)

• A point mass and continuous collapse to a point mass in general relativity
• Rigid covariance, equivalence principle and Fermi rigid coordinates:gravitational waves