General Coordinatisations of the Flat Space—Time of Constant Proper-acceleration
Keyword(s):
We examine space-times which are described by a metric of the form ds2 = V2(X)dT2 - U2 (X)dX2 - dY2 - dZ2 in which V =V (X) and U = U(X) are continuous functions of X only and which admit diffeomorphisms into Minkowski space-time. It is shown that such space-times are associated with rigidly accelerating frames of reference by appeal to the notion of a fundamental observer. The condition for the existence of the diffeomorphism is derived from first principles and some special cases of coordinates are discussed.
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