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The Four-Dimensionality of Space and the Einstein Tensor

Journal of Mathematical Physics · 1972 · Vol. 13(6) · pp. 874–876

David Lovelock✉(University of Waterloo)

Abstract

All tensors of contravariant valency two, which are divergence free on one index and which are concomitants of the metric tensor, together with its first two derivatives, are constructed in the four-dimensional case. The Einstein and metric tensors are the only possibilities.

Computational Physics and Python Applications Advanced Mathematical Theories and Applications Geophysics and Gravity MeasurementsCovariance and contravariance of vectorsEinstein tensorEinsteinMetric tensorTensor (intrinsic definition)Curse of dimensionalityMetric (unit)Mathematical physicsMathematicsLanczos tensor

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