This article is cited in 10 papers

An analytic method in general relativity

S. E. Stepanov

Vladimir State Pedagogical University

Abstract: An analytic method, which Wu called the “Bochner technique”, has been used for fifty years to describe global Riemannian and Kдhler geometries. We use this method to describe conformally Killing vector fields and harmonic timelike vector fields on a Lorentzian manifold and to study hydrodynamic models of the Universe, the existence of closed spacelike sections, and the possibility of fibering Lorentzian manifolds.

Received: 24.12.1998
Revised: 29.06.1999

DOI: 10.4213/tmf581

 English version: Theoretical and Mathematical Physics, 2000, 122:3, 402–414

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