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...(such as [[supergravity]]), often result in encountering points where the metric blows up to [[infinity]]. However, many of these points are in fact complet ...ified by noting that the ''Kretschmann scalar'' or square of the ''Riemann tensor'', which is diffeomorphism invariant - is infinite.

...[[Hilbert space]]. Distance measurement is abstracted as the concept of [[metric space]] and volume measurement leads to the concept of [[measure space]]. ...are assigned to time and space components of [[spacetime]] [[metric tensor|metric]]).

...acetime. The geodesic paths for a spacetime are calculated from the metric tensor. * The [[Kerr metric|Kerr solution]] for rotating massive objects. This solution also produces b

...nstein universe'' is, however, unstable. It is bound to eventually start [[metric expansion of space|expanding]] or contracting. The cosmological solutions o ...introduced in the framework of general relativity -- but without the full tensor apparatus, which is presented in the last part of the book. Particularly su