Abstract
We review generally-covariant Lagrangians for the field of linear coframes in ann-dimensional manifold. Discussed are Lagrangians invariant under the internal groupGL(n, ℝ) and under its pseudo-Euclidean subgroups. It is shown that group spaces of semisimple Lie groups and certain of their modifications are natural vacuumlike solutions for allGL(n, ℝ)-invariant models. In some sense the signature of space-time may be interpreted as a consequence of differential equations; the velocity of light is an integration constant.
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Sławianowski, J.J. Space-time as a micromorphic continuum. Int J Theor Phys 29, 1177–1184 (1990). https://doi.org/10.1007/BF00672930
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DOI: https://doi.org/10.1007/BF00672930