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THE EXTRAGALACTIC NEBULAE
THE TENSOR CALCULUS
PRINCIPLES OF GENERAL RELATIVITY
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apparent magnitude approximately arbitrary assigned assume calculate called clock co-ordinate system coefficients Comparing components Consider constant contravariant vector corresponding covariant curvature curve defined definition density derivative determined differential dimensions distance Doppler ds ds Einstein equations equivalent observers event expanding expression fixed fluid follows formula function fundamental geodesic give given gravitational Hence indices integral interval invariant involve kinematical theory light light-signal material matter means measured method metric motion moving nebulae null-geodesic obtain origin parallelism parsecs particles paths physical possible present principle proper-time properties quantities radius regard relation relativity respectively result Riemannian space scalar scales shift space space-time spatial special relativity stars suppose symbols tanh tanh Kso tensor calculus tensor of rank theory tion transformation universe vector velocity visible whilst world-line zero дх