A tensor theory of space-time as a strained material continuum

Details A tensor theory of space-time as a strained material continuum A tensor theory of space-time as a strained material continuum

2009-03-24

arxiv.org/abs/0903.4096v2

Class.Quant.Grav.27:035001,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revised to match the version accepted for publication in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/27/3/035001

The classical theory of strain in material continua is reviewed and generalized to space-time. Strain is attributed to "external" (matter/energy fields) and intrinsic sources fixing the global symmetry of the universe (defects in the continuum). A Lagrangian for space-time is worked out, adding to the usual Hilbert term an "elastic" contribution from intrinsic strain. This approach is equivalent to a peculiar tensor field, which is indeed part of the metric tensor. The theory gives a configuration of space-time accounting both for the initial inflation and for the late acceleration. Considering also the contribution from matter the theory is used to fit the luminosity data of type Ia supernovae, giving satisfactory results.

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