Space-time as a deformable continuum

Details Space-time as a deformable continuum Space-time as a deformable continuum

Apr 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010jphcs.222a2028t&link_type=abstract

Journal of Physics: Conference Series, Volume 222, Issue 1, pp. 012028 (2010).

Physics

Scientific paper

Space-time may be thought of as a physical continuum endowed with properties similar to the ones of material threedimensional continua. In this view a non-trivial metric tensor can be considered to be the sum of the Minkowski metric plus an appropriate strain tensor. The global symmetry of the universe can be seen as the effect of a spontaneous strained state due to the presence of a texture defect. Consistently with this approach the Lagrangian of space time is obtained adding to the scalar curvature, acting as a kinetic term, a potential term depending on the strain and modeled on the one of the elasticity theory, extended to four dimensions. The theory is applied to the fit of the luminosity dependence of type Ia supernovae on the redshift. A result is obtained slightly better than the one of the ΛCDM theory.

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