On the Invariant Spatial Distance in a Curved Space-Time with Spherical Symmetry. II ---The Problem of the Allowable Mean Value for the Distances among Several Observers---

Details On the Invariant Spatial Distance in a Curved Space-Time with Spherical Symmetry. II ---The Problem of the Allowable Mean Value for the Distances among Several Observers--- On the Invariant Spatial Distance in a Curved Space-Time with Spherical Symmetry. II ---The Problem of the Allowable Mean Value for the Distances among Several Observers---

Apr 1962

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1962pthph..27..707n&link_type=abstract

Progress of Theoretical Physics, Vol. 27, No. 4, pp. 707-731

Physics

Scientific paper

An attempt is made to study in detail the problem of the allowable mean value for the invariant spatial distances among several observers in a certain class of the space-time with spherical symmetry. It is found that, except in a few cases, we can simultaneously determine the functional form of the allowable mean value and the metric tensor for the space-time under consideration. The results thus obtained are applied to various space-times present in cosmology.

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