Non-Linear Lagrangians and Cosmological Theory

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ID: 295418
1970
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Abstract
In relativistic cosmology the theory of uniform model universes is based on Einstein's equations, which derive from a variational principle the field-Lagrangian L of which is the scalar curvature R to within an arbitrary additive constant. In this work the possibility of taking L to be a more general invariant of the Riemann tensor is contemplated. The consequences of choosing L to be a function ϕ of R alone are tentatively examined under specialized circumstances, with particular attention to an open world-model oscillating between non-singular states. Difficulties revolving about the actual form which ϕ might take are discussed.
Reference Key
openalex_W2078125471 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors H. A. Buchdahl
Journal monthly notices of the royal astronomical society
Year 1970
DOI
10.1093/mnras/150.1.1
URL
Keywords Keywords not found

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